Section 81 Pg. 410 Exercises 12,13


 Primrose Crawford
 1 years ago
 Views:
Transcription
1 Section 8 Pg. 4 Exercises 2,3 2. Using the z table, find the critical value for each. a) α=.5, twotailed test, answer: .96,.96 b) α=., lefttailed test, answer: 2.33, 2.33 c) α=.5, righttailed test, answer: 2.58 d) α=., righttailed test, answer: 2.33 e) α=.5, left tailed test, answer: .65 f) α=.2, left tailed test, answer: 2.5 g) α =.5, right tailed test, answer:.65 h) α=., two tailed test, answer: i) α=.4, left tailed test, answer: .75 j) α=.2, right tailed test, answer: For each conjecture, state the null and alternative hypothesis. a) The average age of community college student is 24.6 years. Answer: : µ=24.6 and : µ 24.6 b) The average income of accountant is $5,497. Answer: : µ=$5,497 and : µ $5,497 c) The average age of attorney is greater than 25.4 years. Answer: : µ=25.4 and : µ>25.4 d) The average score of 5 high school basketball games is less than 88. Answer: : µ=88 and : µ<88 e) The average pulse rate of male marathon runners is less than 7 beats per minute. Answer: : µ=7 and : µ<7 f) The average cost of DVD player is $79.95 Answer: : µ=$79.95 and : µ $79.95
2 g) The average weight loss for sample of people who exercise 3 minutes per day for 6 weeks is 8.2 pounds. Answer: : µ=8.2 and : µ 8.2 Section 82 Pg. 42 Exercises 5, 6, 7, 5, 9, 2, 2, ealth Care Expenses The mean annual expenditure per 25 to 34yearold consumer for health care is $468. This includes health insurance, medical services, and drugs and medical supplies. Students at a large university took a survey, and it was found that for a sample of 6 students, the mean health care expense was $52, and the population standard deviation is $98. Is there sufficient evidence at α =. to conclude that their health care expenditure differs from the national average of $468? Is the conclusion different at α =.5? : µ = 468 : µ 468 (claim) (a twotailed test) n= 6 X = 52 s = 98 α =. CV.../ 2 =.5,.5 =.995, then look upin the bodyof Table E zcv = test value : z = = = 2.3 s n 98 6 Do not reject at α =.. There is not enough evidence to support the claim that average expenditure differs from $468. If α =.5, C.V=.96. Therefore reject at α = Peanut Production in Virginia. The average production of peanuts in the state of Virginia is 3 pounds per acre. A new plan food has been developed and is tested on 6 individual plots of land. The mean yield with the new plant food is 32 pounds of peanuts per acre with a standard deviation of 578 pounds. At α=.5, can one conclude that the average production has increased? : µ = 3 : µ > 3 (claim) (a righttailed test) n= 6 X = 32 s = 578 α =.5 CV...5 =.95 thenlook upinthebody of Table E zcv = test value : z = = =.6 s n Since the test value does not fall within the critical region, we don t reject the null hypothesis. Therefore, there is not enough evidence to support the claim that the average production of peanuts in the state of Virginia has increased.
3 7. eights of YearOlds The average yearold (both genders) is 29 inches tall. A random sample of 3 oneyearolds in a large daycare franchise resulted in the following heights. At α =.5, can it be concluded that the average height differs from 29 inches? : µ = 29 : µ 29 (claim) (a two tailed test) n= 3 X = s = 2.6 α =.5 CV.. zcv = ± test value : z = = =.944 s n Do not reject the null hypothesis. There is enough evidence to reject the claim that the average height differs from 29 inches. 5) State whether the null hypothesis should be rejected on the basis of the given Pvalue. a) Pvalue=.258, α=.5, one tailed test If Pvalue α, reject the null hypothesis. Since.258 >.5, do not reject. b) Pvalue=.684, α=., two tailed test Since (.684)., reject. c) Pvalue=.53, α=., one tailed test Since.53 >., do not reject. d) Pvalue=.232, α=.5, two tailed test Since.232.5, reject. e) Pvalue=.2, α=., one tailed test Since.2., reject. 9) Burning Calories by playing tennis. A health researcher read that a 2pound male can burn an average of 546 calories per hour playing tennis. Thirtysix males were randomly selected and tested. The
4 mean of the number of calories burned per hour was Test the claim that the average number of calories burned is actually less than 546, and find the Pvalue. On the basis of the Pvalue, should the null hypothesis be rejected at α=.? The standard deviation of the sample is 3. Can it be concluded that the average number of calories burned is less than originally thought? : µ = 546 : µ < 546 (claim) (a left tailed test) n= 36 X = s = 3 α = z = = = 2.4 s n T.V=2.4 Look up table E and find the area that corresponds to z=2.4 The area corresponding to z= 2.4 is.82. Thus Pvalue is.82. Since.82 <., we reject. Therefore, there is enough evidence to support the claim that the average number of calories burned per hours is less than ) Breaking Strength of Cable. A special cable has a breaking strength of 8 pounds. The standard deviation of the population is 2 pounds. A researcher selects a sample of 2 cables and finds the average breaking strength is 793 pounds. Can one reject the claim that the breaking strength is 8 pounds? Find the Pvalue. Should the null hypothesis be rejected at α=.? Assume that the variable is normally distributed. : µ = 8 (claim) : µ 8 (a two tailed test) n= 2 X = 793 σ = 2 α = z = = 2.6 σ n T.V=2.6 Look up in table E for the area corresponding to the z = The corresponding area is.45. Since this is a two tail test, Pvalue is 2(.45) =.9. Since.9 <., we reject the null hypothesis. Thus, there is enough evidence to reject the claim that the breaking strength is 8 pounds. 2) Farm Size. The average farm size in the United States is 444 acres. A random sample of 4 farms in Oregon indicated a mean size of 43 acres, and the population standard deviation is 52 acres. At α =.5, can it be concluded that the average farm in Oregon differs from the national mean? Use the Pvalue method.
5 : µ = 444 : µ 444 (claim) (a two tailed test) n= 4 X = 43 s = 52 α = z = =.7 s n T.V=.7 Look up in table E for the area corresponding to the z = .7. The corresponding area is.446. Since this is a two tail test, Pvalue is 2(. 446) =.892. Is.892 <.5? No. Since Pvalue is not less than or equal to α, we do not reject the null hypothesis. Therefore, there is not enough evidence to support the claim that the mean differs from ) Sick Days A manager states that in his factory, the average number of days per year missed by the employees due to illness is less than the national average of. The following data show the number of days missed by 4 employees last year. Is there sufficient evidence to believe the manager statement at α=.5? Use the Pvalue method : µ = : µ < (claim) (aleft tailed test) n= 4 X = 5.25 s 3.63 α = z = = 8.67 s n Use table E to look up the area that corresponds to the z value of 8.67which is.. Thus Pvalue is... T.V=8.67 Since. <.5, reject the null hypothesis. ence, there is enough evidence to support the claim that the average number of days per year missed by the employees due to illness is less than the national average of days.
6 Pg. 432 Exercises 83 4(af), 5, 6, 9,,7 Use the Pvalue Approach 4. Using Table F, find the Pvalue interval for each test value. a) t = 2.32, n=5, righttailed d.f. = n=5=4.<pvalue<.25 b) t =.945, n=28, twotailed d.f. =n=28=27.5<pvalue<. c) t = .267, n=8, lefttailed d.f. =n=8=7.<pvalue<.25 d) t =.562, n=7, twotailed d.f. =n=7=6.<pvalue<.2 e) t = 3.25, n=24, righttailed d.f. =n=24=23 Pvalue<.5 f) t = .45, n=5, left tai7led d.f. =n=5=4.<pvalue<.25 Use the traditional method of hypothesis testing unless otherwise specified. Assume that the population is approximately normally distributed.
7 5. Veterinary Expenses of Cat Owners According to the American Pet Products Manufacturers Association, cat owners spend an average of $79 annually in routine veterinary visits. A random sample of local cat owners revealed that randomly selected owners spent an average of $25 with s _ $26. Is there a significant statistical difference at a α =.? Traditional Method n=, X = 25, s = 26 α =., df.. = 9 : µ = 79 : µ 79 (claim) (a twotailed test) CV.. ± t = = = 3.62 s/ n 26 / Do not reject the null hypothesis since the test value does not fall within the critical region. There is not enough evidence to support the claim that the average expense is $79. Is P value α? NO, do not reject the null hypothesis since the Pvalue is not less than or equal to α =.. There is not enough evidence to support the claim that the average expense is $ Park Acreage A state executive claims that the average number of acres in western Pennsylvania state park is less than 2 acres. A random sample of five parks is selected, and the number of acres is shown. Atα =., is there enough evidence to support the claim?
8 Traditional method n= 5, X = 885.8, s = α =., df.. = 4 : µ = 2 : µ < 2 (claim) (a left tailed test) CV.. = t = = =.4 s/ n / 5 Do not reject the null hypothesis since the test value does not fall within the critical region. There is not enough evidence to support the claim that the average acreage is less than 2. Pvalue method n= 5, X = 885.8, s = α =., df.. = 4 : µ = 2 : µ < 2 (claim) (a left tailed test) t = = =.4 s/ n / 5 P value >. Is P value α? No, do not reject the null hypothesis since the Pvalue is not less than or equal to α =.. There is not enough evidence to support the claim that the average acreage is less than eights of Tall Buildings A researcher estimates that the average height of the buildings of 3 or more stories in a large city is at least 7 feet. A random sample of buildings is selected, and the heights in feet are shown. At α=.25, is there enough evidence to reject the claim?
9 Traditional method n=, X = 66.5, s = 9. α =.25, df.. = 9 : µ = 7 ( claim) : µ < 7 (a lefttail test) CV.. = t = = = 2.7 s/ n 9./ Reject the null hypothesis since the test value falls within the critical region. There is enough evidence to reject the claim that the average height of the buildings is at least 7 feet. Pvalue method n=, X = 66.5, s = 9. α =.25, df.. = 9 : µ = 7 ( claim) : µ < 7 (a lefttailed test) t = = = 2.7 s/ n 9./.< P value <.25 Reject the null hypothesis since Pvalue is less than or equal to α =.25. There is enough evidence to reject the claim that the average height of the buildings is at least 7 feet.. Cost of College The average undergraduate cost for tuition, fees, and room and board for two year institutions last year was $3,252. The following year, a random sample of 2 twoyear institutions had a mean of $5,56 and a standard deviation of $35. Is there sufficient evidence at the α =. level to conclude that the mean cost has increased? Traditional method n= 2, X = $5,56, s = $3,5 α =., df.. = 9 : µ = 3252 : µ > 3252 (claim) (a righttailed test) CV. = t = = = s/ n 35 / 2
10 Reject the null hypothesis since the test value falls within the critical region. There is sufficient evidence to support the claim that the average tuition cost has increased. Pvalue method n= 2, X = $5,56, s = $3,5 α =., df.. = 9 : µ = 3252 : µ > 3252 ( claim) right tail test t = = = s/ n 35 / 2 P value <.5 Is P value α? Is.5.? Yes! Therefore, we reject the null hypothesis. There is sufficient evidence to support the claim that the average tuition cost has increased. 7. Doctor Visits A report by the Gallup Poll stated that on average a woman visits her physician 5.8 times a year. A researcher randomly selects 2 women and obtained these data Atα =.5, can it be concluded that the average is still 5.8 visits per year? n= 2, X = 3.85, s = 2.59 α =.5, df.. = 9 : µ = 5.8 : µ 5.8 ( claim) (a twotailed test) t = = = 3.46 s/ n 2.59 / 2 P value <. Is P value α?..5? yes, then we reject the null hypothesis. There is enough evidence to support the claim that the mean is not 5.8. Section 84 P44 #3, 6, 7, 9. (Use Pvalue method) 3) After school Snacks. In the Journal of the American Dietetic Association, it was reported that 54% of kids said that they had a snack after school. Test the claim that a random sample of 6 kids was selected
11 and 36 said that they had a snack after school Use α=. and the pvalue method. On the basis of the results, should parents be concerned about their children eating a healthy snack? P=.54, n=6, x=36, α=., x 36 pˆ = = =.6 n 6 q=p, q=.54, q=.46 o: p=.54(claim) : p.54 A twotailed test. pˆ p.6.54 z = = =.93. pq (.54)(.46) n 6 Find the area that corresponds to z=.93 in the Etable. The area is Since this is a two tail test, the Pvalue is 2( )= Then compare P(value) with α >.. Since the P(value) is not less than or equal to α, we do not reject the null hypothesis. There is enough evidence to support the claim that 54% of children have snacks after school. Yes, healthy snacks should be monitor by their parents. 6) Credit Card Usage. For certain year a study reports that the percentage of college students using credit cards was 83%. A college dean of student services feels that this is too high for her university, so she randomly selects 5 students and finds that 4 of them use credit cards. At α=.4, is she correct about her university? P=.83, n=5, x=4, α=.4, x 4 pˆ = = =.8 n 5 q=p, q=.83, q=.7 o: p=.83 i: p<.83 (claim) A lefttested test. pˆ p.8.83 z = = =.56 pq (.83)(.7) n 5 Find the area that corresponds to z= .56 in the Etable. The area is.2877.
12 Thus, the P(value) is Then compare P(value) with α >.4. Since the P(value) is not less than or equal to α, we do not reject the null hypothesis. There is not enough evidence to support the claim that students who use credit cards are less than 83%. 7) Borrowing library Books. For American using library services, the American Library association (ALA)claims that 67% borrow books. A library director feels this is not true, so she randomly selects borrowers and finds that 82 borrowed books. Can he show that the ALA claims is incorrect? Use α=.5? P=.67, n=, x=82, α=.5, x 82 pˆ = = =.82 n q=p, q=.67, q=.33 o: p=.67 i: p.67(claim) A two tailed test. pˆ p z = = = 3.9 pq (.67)(.33) n Find the area that corresponds to z=3.9 in the Etable. The area is Now the P(value) is 2(.9993)=.4 Then compare P(value) with α..4 <.5. Since the P(value) is less than α, we reject the null hypothesis. There is enough evidence to support the claim that the percentage is not 67%. 9) Football Injuries. A report by the NCAA states that 57.6% of football injuries occur during practices. Ahead trainer claims that this is too high for his conference, so he randomly selects 36 injuries and finds that 7 occurred during practices. Is his claim correct, at α=.5? P=.576, n=36, x=7, α=.5, x 7 pˆ = = =.472 n 36 q=p, q=.576, q=.424 o: p=.576 i: p<.576 (claim) A left tailed test.
13 pˆ p z = = =.26 pq (.576)(.424) n 36 Find the area that corresponds to z= .26 in the Etable. The area is.38. Thus, the P(value) is.38. Then compare P(value) with α..38 >.5. Since the P(value) is not less than or equal to α, we do not reject the null hypothesis. There is not enough evidence to support the claim that the football injuries during practice is less than 57.6%.
5/31/2013. Chapter 8 Hypothesis Testing. Hypothesis Testing. Hypothesis Testing. Outline. Objectives. Objectives
C H 8A P T E R Outline 8 1 Steps in Traditional Method 8 2 z Test for a Mean 8 3 t Test for a Mean 8 4 z Test for a Proportion 8 6 Confidence Intervals and Copyright 2013 The McGraw Hill Companies, Inc.
More informationHypothesis Testing  One Mean
Hypothesis Testing  One Mean A hypothesis is simply a statement that something is true. Typically, there are two hypotheses in a hypothesis test: the null, and the alternative. Null Hypothesis The hypothesis
More informationChapter 8: Hypothesis Testing for One Population Mean, Variance, and Proportion
Chapter 8: Hypothesis Testing for One Population Mean, Variance, and Proportion Learning Objectives Upon successful completion of Chapter 8, you will be able to: Understand terms. State the null and alternative
More informationMath 251, Review Questions for Test 3 Rough Answers
Math 251, Review Questions for Test 3 Rough Answers 1. (Review of some terminology from Section 7.1) In a state with 459,341 voters, a poll of 2300 voters finds that 45 percent support the Republican candidate,
More informationName: Date: Use the following to answer questions 34:
Name: Date: 1. Determine whether each of the following statements is true or false. A) The margin of error for a 95% confidence interval for the mean increases as the sample size increases. B) The margin
More informationBA 275 Review Problems  Week 5 (10/23/0610/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380394
BA 275 Review Problems  Week 5 (10/23/0610/27/06) CD Lessons: 48, 49, 50, 51, 52 Textbook: pp. 380394 1. Does vigorous exercise affect concentration? In general, the time needed for people to complete
More informationSection 7.1. Introduction to Hypothesis Testing. Schrodinger s cat quantum mechanics thought experiment (1935)
Section 7.1 Introduction to Hypothesis Testing Schrodinger s cat quantum mechanics thought experiment (1935) Statistical Hypotheses A statistical hypothesis is a claim about a population. Null hypothesis
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Ch. 10 Chi SquareTests and the FDistribution 10.1 Goodness of Fit 1 Find Expected Frequencies Provide an appropriate response. 1) The frequency distribution shows the ages for a sample of 100 employees.
More information82 Basics of Hypothesis Testing. Definitions. Rare Event Rule for Inferential Statistics. Null Hypothesis
82 Basics of Hypothesis Testing Definitions This section presents individual components of a hypothesis test. We should know and understand the following: How to identify the null hypothesis and alternative
More informationStats Review Chapters 910
Stats Review Chapters 910 Created by Teri Johnson Math Coordinator, Mary Stangler Center for Academic Success Examples are taken from Statistics 4 E by Michael Sullivan, III And the corresponding Test
More informationChapter 8 Hypothesis Testing Chapter 8 Hypothesis Testing 81 Overview 82 Basics of Hypothesis Testing
Chapter 8 Hypothesis Testing 1 Chapter 8 Hypothesis Testing 81 Overview 82 Basics of Hypothesis Testing 83 Testing a Claim About a Proportion 85 Testing a Claim About a Mean: s Not Known 86 Testing
More informationProb & Stats. Chapter 9 Review
Chapter 9 Review Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally
More informationChapter 8. Hypothesis Testing
Chapter 8 Hypothesis Testing Hypothesis In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test (or test of significance) is a standard procedure for testing
More informationRegression Analysis: A Complete Example
Regression Analysis: A Complete Example This section works out an example that includes all the topics we have discussed so far in this chapter. A complete example of regression analysis. PhotoDisc, Inc./Getty
More informationGeneral Method: Difference of Means. 3. Calculate df: either WelchSatterthwaite formula or simpler df = min(n 1, n 2 ) 1.
General Method: Difference of Means 1. Calculate x 1, x 2, SE 1, SE 2. 2. Combined SE = SE1 2 + SE2 2. ASSUMES INDEPENDENT SAMPLES. 3. Calculate df: either WelchSatterthwaite formula or simpler df = min(n
More informationUnit 27: Comparing Two Means
Unit 27: Comparing Two Means Prerequisites Students should have experience with onesample tprocedures before they begin this unit. That material is covered in Unit 26, Small Sample Inference for One
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Open book and note Calculator OK Multiple Choice 1 point each MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean for the given sample data.
More informationChapter Additional: Standard Deviation and Chi Square
Chapter Additional: Standard Deviation and Chi Square Chapter Outline: 6.4 Confidence Intervals for the Standard Deviation 7.5 Hypothesis testing for Standard Deviation Section 6.4 Objectives Interpret
More informationCHAPTER 9 HYPOTHESIS TESTING
CHAPTER 9 HYPOTHESIS TESTING The TI83 Plus and TI84 Plus fully support hypothesis testing. Use the key, then highlight TESTS. The options used in Chapter 9 are given on the two screens. TESTING A SINGLE
More informationSTATISTICS 8, FINAL EXAM. Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4
STATISTICS 8, FINAL EXAM NAME: KEY Seat Number: Last six digits of Student ID#: Circle your Discussion Section: 1 2 3 4 Make sure you have 8 pages. You will be provided with a table as well, as a separate
More informationHypothesis Testing Population Mean
Ztest About One Mean ypothesis Testing Population Mean The Ztest about a mean of population we are using is applied in the following three cases: a. The population distribution is normal and the population
More information8 6 X 2 Test for a Variance or Standard Deviation
Section 8 6 x 2 Test for a Variance or Standard Deviation 437 This test uses the Pvalue method. Therefore, it is not necessary to enter a significance level. 1. Select MegaStat>Hypothesis Tests>Proportion
More informationName: (b) Find the minimum sample size you should use in order for your estimate to be within 0.03 of p when the confidence level is 95%.
Chapter 78 Exam Name: Answer the questions in the spaces provided. If you run out of room, show your work on a separate paper clearly numbered and attached to this exam. Please indicate which program
More informationOnline 12  Sections 9.1 and 9.2Doug Ensley
Student: Date: Instructor: Doug Ensley Course: MAT117 01 Applied Statistics  Ensley Assignment: Online 12  Sections 9.1 and 9.2 1. Does a Pvalue of 0.001 give strong evidence or not especially strong
More information9.1 Basic Principles of Hypothesis Testing
9. Basic Principles of Hypothesis Testing Basic Idea Through an Example: On the very first day of class I gave the example of tossing a coin times, and what you might conclude about the fairness of the
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
STT315 Practice Ch 57 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) The length of time a traffic signal stays green (nicknamed
More informationNull Hypothesis H 0. The null hypothesis (denoted by H 0
Hypothesis test In statistics, a hypothesis is a claim or statement about a property of a population. A hypothesis test (or test of significance) is a standard procedure for testing a claim about a property
More informationA POPULATION MEAN, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING
CHAPTER 5. A POPULATION MEAN, CONFIDENCE INTERVALS AND HYPOTHESIS TESTING 5.1 Concepts When a number of animals or plots are exposed to a certain treatment, we usually estimate the effect of the treatment
More informationp1^ = 0.18 p2^ = 0.12 A) 0.150 B) 0.387 C) 0.300 D) 0.188 3) n 1 = 570 n 2 = 1992 x 1 = 143 x 2 = 550 A) 0.270 B) 0.541 C) 0.520 D) 0.
Practice for chapter 9 and 10 Disclaimer: the actual exam does not mirror this. This is meant for practicing questions only. The actual exam in not multiple choice. Find the number of successes x suggested
More informationAn Introduction to Statistics Course (ECOE 1302) Spring Semester 2011 Chapter 10 TWOSAMPLE TESTS
The Islamic University of Gaza Faculty of Commerce Department of Economics and Political Sciences An Introduction to Statistics Course (ECOE 130) Spring Semester 011 Chapter 10 TWOSAMPLE TESTS Practice
More informationC. The null hypothesis is not rejected when the alternative hypothesis is true. A. population parameters.
Sample Multiple Choice Questions for the material since Midterm 2. Sample questions from Midterms and 2 are also representative of questions that may appear on the final exam.. A randomly selected sample
More informationMind on Statistics. Chapter 13
Mind on Statistics Chapter 13 Sections 13.113.2 1. Which statement is not true about hypothesis tests? A. Hypothesis tests are only valid when the sample is representative of the population for the question
More informationHypothesis Testing I
ypothesis Testing I The testing process:. Assumption about population(s) parameter(s) is made, called null hypothesis, denoted. 2. Then the alternative is chosen (often just a negation of the null hypothesis),
More informationISyE 2028 Basic Statistical Methods  Fall 2015 Bonus Project: Big Data Analytics Final Report: Time spent on social media
ISyE 2028 Basic Statistical Methods  Fall 2015 Bonus Project: Big Data Analytics Final Report: Time spent on social media Abstract: The growth of social media is astounding and part of that success was
More informationModule 2 Probability and Statistics
Module 2 Probability and Statistics BASIC CONCEPTS Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The standard deviation of a standard normal distribution
More informationHypothesis Testing: Two Means, Paired Data, Two Proportions
Chapter 10 Hypothesis Testing: Two Means, Paired Data, Two Proportions 10.1 Hypothesis Testing: Two Population Means and Two Population Proportions 1 10.1.1 Student Learning Objectives By the end of this
More informationName: Date: D) 3141 3168
Name: Date: 1. A sample of 25 different payroll departments found that the employees worked an average of 310.3 days a year with a standard deviation of 23.8 days. What is the 90% confidence interval for
More informationClass 19: Two Way Tables, Conditional Distributions, ChiSquare (Text: Sections 2.5; 9.1)
Spring 204 Class 9: Two Way Tables, Conditional Distributions, ChiSquare (Text: Sections 2.5; 9.) Big Picture: More than Two Samples In Chapter 7: We looked at quantitative variables and compared the
More informationPsychology 60 Fall 2013 Practice Exam Actual Exam: Next Monday. Good luck!
Psychology 60 Fall 2013 Practice Exam Actual Exam: Next Monday. Good luck! Name: 1. The basic idea behind hypothesis testing: A. is important only if you want to compare two populations. B. depends on
More informationIndependent t Test (Comparing Two Means)
Independent t Test (Comparing Two Means) The objectives of this lesson are to learn: the definition/purpose of independent ttest when to use the independent ttest the use of SPSS to complete an independent
More informationCHAPTER IV FINDINGS AND CONCURRENT DISCUSSIONS
CHAPTER IV FINDINGS AND CONCURRENT DISCUSSIONS Hypothesis 1: People are resistant to the technological change in the security system of the organization. Hypothesis 2: information hacked and misused. Lack
More informationBA 275 Review Problems  Week 6 (10/30/0611/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394398, 404408, 410420
BA 275 Review Problems  Week 6 (10/30/0611/3/06) CD Lessons: 53, 54, 55, 56 Textbook: pp. 394398, 404408, 410420 1. Which of the following will increase the value of the power in a statistical test
More informationHypothesis Tests for 1 sample Proportions
Hypothesis Tests for 1 sample Proportions 1. Hypotheses. Write the null and alternative hypotheses you would use to test each of the following situations. a) A governor is concerned about his "negatives"
More informationStatistics 100 Sample Final Questions (Note: These are mostly multiple choice, for extra practice. Your Final Exam will NOT have any multiple choice!
Statistics 100 Sample Final Questions (Note: These are mostly multiple choice, for extra practice. Your Final Exam will NOT have any multiple choice!) Part A  Multiple Choice Indicate the best choice
More information1. What is the critical value for this 95% confidence interval? CV = z.025 = invnorm(0.025) = 1.96
1 Final Review 2 Review 2.1 CI 1propZint Scenario 1 A TV manufacturer claims in its warranty brochure that in the past not more than 10 percent of its TV sets needed any repair during the first two years
More informationChapter 7: Simple linear regression Learning Objectives
Chapter 7: Simple linear regression Learning Objectives Reading: Section 7.1 of OpenIntro Statistics Video: Correlation vs. causation, YouTube (2:19) Video: Intro to Linear Regression, YouTube (5:18) 
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) A researcher for an airline interviews all of the passengers on five randomly
More information9.1 Hypothesis Testing
9.1 Hypothesis Testing Define: 1. Null Hypothesis 2. Alternative Hypothesis Null Hypothesis: H 0, statement that the population proportion, or population mean is EQUAL TO a number population proportion
More informationHYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1. used confidence intervals to answer questions such as...
HYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1 PREVIOUSLY used confidence intervals to answer questions such as... You know that 0.25% of women have red/green color blindness. You conduct a study of men
More informationStatistics Class Level Test Mu Alpha Theta State 2008
Statistics Class Level Test Mu Alpha Theta State 2008 1. Which of the following are true statements? I. The histogram of a binomial distribution with p = 0.5 is always symmetric no matter what n, the number
More informationc. Construct a boxplot for the data. Write a one sentence interpretation of your graph.
MBA/MIB 5315 Sample Test Problems Page 1 of 1 1. An English survey of 3000 medical records showed that smokers are more inclined to get depressed than nonsmokers. Does this imply that smoking causes depression?
More informationStep 1: Set up hypotheses that ask a question about the population by setting up two opposite statements about the possible value of the parameters.
HYPOTHESIS TEST CLASS NOTES Hypothesis Test: Procedure that allows us to ask a question about an unknown population parameter Uses sample data to draw a conclusion about the unknown population parameter.
More informationSTATISTICS 8 CHAPTERS 1 TO 6, SAMPLE MULTIPLE CHOICE QUESTIONS
STATISTICS 8 CHAPTERS 1 TO 6, SAMPLE MULTIPLE CHOICE QUESTIONS Correct answers are in bold italics.. This scenario applies to Questions 1 and 2: A study was done to compare the lung capacity of coal miners
More information9 Testing the Difference
blu49076_ch09.qxd 5/1/2003 8:19 AM Page 431 c h a p t e r 9 9 Testing the Difference Between Two Means, Two Variances, and Two Proportions Outline 9 1 Introduction 9 2 Testing the Difference Between Two
More informationChapter 7 Section 7.1: Inference for the Mean of a Population
Chapter 7 Section 7.1: Inference for the Mean of a Population Now let s look at a similar situation Take an SRS of size n Normal Population : N(, ). Both and are unknown parameters. Unlike what we used
More informationMATH 103/GRACEY PRACTICE EXAM/CHAPTERS 23. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MATH 3/GRACEY PRACTICE EXAM/CHAPTERS 23 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) The frequency distribution
More informationsocscimajor yes no TOTAL female 25 35 60 male 30 27 57 TOTAL 55 62 117
Review for Final Stat 10 (1) The table below shows data for a sample of students from UCLA. (a) What percent of the sampled students are male? 57/117 (b) What proportion of sampled students are social
More informationCHAPTER 13 SIMPLE LINEAR REGRESSION. Opening Example. Simple Regression. Linear Regression
Opening Example CHAPTER 13 SIMPLE LINEAR REGREION SIMPLE LINEAR REGREION! Simple Regression! Linear Regression Simple Regression Definition A regression model is a mathematical equation that descries the
More information12 Hypothesis Testing
CHAPTER 12 Hypothesis Testing Chapter Outline 12.1 HYPOTHESIS TESTING 12.2 CRITICAL VALUES 12.3 ONESAMPLE T TEST 247 12.1. Hypothesis Testing www.ck12.org 12.1 Hypothesis Testing Learning Objectives Develop
More informationChapter 7: OneSample Inference
Chapter 7: OneSample Inference Now that you have all this information about descriptive statistics and probabilities, it is time to start inferential statistics. There are two branches of inferential
More informationIntroduction to Analysis of Variance (ANOVA) Limitations of the ttest
Introduction to Analysis of Variance (ANOVA) The Structural Model, The Summary Table, and the One Way ANOVA Limitations of the ttest Although the ttest is commonly used, it has limitations Can only
More informationHYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1. used confidence intervals to answer questions such as...
HYPOTHESIS TESTING (ONE SAMPLE)  CHAPTER 7 1 PREVIOUSLY used confidence intervals to answer questions such as... You know that 0.25% of women have red/green color blindness. You conduct a study of men
More informationSTATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS
STATISTICS 8: CHAPTERS 7 TO 10, SAMPLE MULTIPLE CHOICE QUESTIONS 1. If two events (both with probability greater than 0) are mutually exclusive, then: A. They also must be independent. B. They also could
More informationStatistics Review PSY379
Statistics Review PSY379 Basic concepts Measurement scales Populations vs. samples Continuous vs. discrete variable Independent vs. dependent variable Descriptive vs. inferential stats Common analyses
More informationChapter 8 Introduction to Hypothesis Testing
Chapter 8 Student Lecture Notes 81 Chapter 8 Introduction to Hypothesis Testing Fall 26 Fundamentals of Business Statistics 1 Chapter Goals After completing this chapter, you should be able to: Formulate
More informationMath 58. Rumbos Fall 2008 1. Solutions to Review Problems for Exam 2
Math 58. Rumbos Fall 2008 1 Solutions to Review Problems for Exam 2 1. For each of the following scenarios, determine whether the binomial distribution is the appropriate distribution for the random variable
More informationThe power of a test is the of. by using a particular and a. value of the that is an to the value
DEFINITION The power of a test is the of a hypothesis. The of the is by using a particular and a value of the that is an to the value assumed in the. POWER AND THE DESIGN OF EXPERIMENTS Just as is a common
More informationCHAPTER 9: HYPOTHESIS TESTING SINGLE MEAN AND SINGLE PROPORTION
CHAPTER 9: HYPOTHESIS TESTING SINGLE MEAN AND SINGLE PROPORTION Exercise 1. Exercise 2. You are testing that the mean speed of your cable Internet connection is more than three Megabits per second. What
More informationChapter III. Testing Hypotheses
Chapter III Testing Hypotheses R (Introduction) A statistical hypothesis is an assumption about a population parameter This assumption may or may not be true The best way to determine whether a statistical
More informationChapter 9, Part A Hypothesis Tests. Learning objectives
Chapter 9, Part A Hypothesis Tests Slide 1 Learning objectives 1. Understand how to develop Null and Alternative Hypotheses 2. Understand Type I and Type II Errors 3. Able to do hypothesis test about population
More informationExample Hypotheses. Chapter 82: Basics of Hypothesis Testing. A newspaper headline makes the claim: Most workers get their jobs through networking
Chapter 82: Basics of Hypothesis Testing Two main activities in statistical inference are using sample data to: 1. estimate a population parameter forming confidence intervals 2. test a hypothesis or
More informationa) Find the five point summary for the home runs of the National League teams. b) What is the mean number of home runs by the American League teams?
1. Phone surveys are sometimes used to rate TV shows. Such a survey records several variables listed below. Which ones of them are categorical and which are quantitative?  the number of people watching
More informationReview. March 21, 2011. 155S7.1 2_3 Estimating a Population Proportion. Chapter 7 Estimates and Sample Sizes. Test 2 (Chapters 4, 5, & 6) Results
MAT 155 Statistical Analysis Dr. Claude Moore Cape Fear Community College Chapter 7 Estimates and Sample Sizes 7 1 Review and Preview 7 2 Estimating a Population Proportion 7 3 Estimating a Population
More information3.4 Statistical inference for 2 populations based on two samples
3.4 Statistical inference for 2 populations based on two samples Tests for a difference between two population means The first sample will be denoted as X 1, X 2,..., X m. The second sample will be denoted
More informationMind on Statistics. Chapter 15
Mind on Statistics Chapter 15 Section 15.1 1. A student survey was done to study the relationship between class standing (freshman, sophomore, junior, or senior) and major subject (English, Biology, French,
More informationCC Investigation 5: Histograms and Box Plots
Content Standards 6.SP.4, 6.SP.5.c CC Investigation 5: Histograms and Box Plots At a Glance PACING 3 days Mathematical Goals DOMAIN: Statistics and Probability Display numerical data in histograms and
More informationChapter 4. Hypothesis Tests
Chapter 4 Hypothesis Tests 1 2 CHAPTER 4. HYPOTHESIS TESTS 4.1 Introducing Hypothesis Tests Key Concepts Motivate hypothesis tests Null and alternative hypotheses Introduce Concept of Statistical significance
More informationCHAPTER 11 SECTION 2: INTRODUCTION TO HYPOTHESIS TESTING
CHAPTER 11 SECTION 2: INTRODUCTION TO HYPOTHESIS TESTING MULTIPLE CHOICE 56. In testing the hypotheses H 0 : µ = 50 vs. H 1 : µ 50, the following information is known: n = 64, = 53.5, and σ = 10. The standardized
More informationAP STATISTICS (WarmUp Exercises)
AP STATISTICS (WarmUp Exercises) 1. Describe the distribution of ages in a city: 2. Graph a box plot on your calculator for the following test scores: {90, 80, 96, 54, 80, 95, 100, 75, 87, 62, 65, 85,
More informationBasic Statistics Self Assessment Test
Basic Statistics Self Assessment Test Professor Douglas H. Jones PAGE 1 A sodadispensing machine fills 12ounce cans of soda using a normal distribution with a mean of 12.1 ounces and a standard deviation
More informationFATFREE OR REGULAR PRINGLES: CAN TASTERS TELL THE DIFFERENCE?
CHAPTER 10 Hypothesis Tests Involving a Sample Mean or Proportion FATFREE OR REGULAR PRINGLES: CAN TASTERS TELL THE DIFFERENCE? Michael Newman/PhotoEdit When the makers of Pringles potato chips came out
More informationMONT 107N Understanding Randomness Solutions For Final Examination May 11, 2010
MONT 07N Understanding Randomness Solutions For Final Examination May, 00 Short Answer (a) (0) How are the EV and SE for the sum of n draws with replacement from a box computed? Solution: The EV is n times
More informationHomework 6 Solutions
Math 17, Section 2 Spring 2011 Assignment Chapter 20: 12, 14, 20, 24, 34 Chapter 21: 2, 8, 14, 16, 18 Chapter 20 20.12] Got Milk? The student made a number of mistakes here: Homework 6 Solutions 1. Null
More informationMath 108 Exam 3 Solutions Spring 00
Math 108 Exam 3 Solutions Spring 00 1. An ecologist studying acid rain takes measurements of the ph in 12 randomly selected Adirondack lakes. The results are as follows: 3.0 6.5 5.0 4.2 5.5 4.7 3.4 6.8
More informationUNDERSTANDING THE INDEPENDENTSAMPLES t TEST
UNDERSTANDING The independentsamples t test evaluates the difference between the means of two independent or unrelated groups. That is, we evaluate whether the means for two independent groups are significantly
More informationModule 5 Hypotheses Tests: Comparing Two Groups
Module 5 Hypotheses Tests: Comparing Two Groups Objective: In medical research, we often compare the outcomes between two groups of patients, namely exposed and unexposed groups. At the completion of this
More informationMATH 10: Elementary Statistics and Probability Chapter 9: Hypothesis Testing with One Sample
MATH 10: Elementary Statistics and Probability Chapter 9: Hypothesis Testing with One Sample Tony Pourmohamad Department of Mathematics De Anza College Spring 2015 Objectives By the end of this set of
More informationUnit 26: Small Sample Inference for One Mean
Unit 26: Small Sample Inference for One Mean Prerequisites Students need the background on confidence intervals and significance tests covered in Units 24 and 25. Additional Topic Coverage Additional coverage
More information1 Hypothesis Testing. H 0 : population parameter = hypothesized value:
1 Hypothesis Testing In Statistics, a hypothesis proposes a model for the world. Then we look at the data. If the data are consistent with that model, we have no reason to disbelieve the hypothesis. Data
More informationChapter 23 Inferences About Means
Chapter 23 Inferences About Means Chapter 23  Inferences About Means 391 Chapter 23 Solutions to Class Examples 1. See Class Example 1. 2. We want to know if the mean battery lifespan exceeds the 300minute
More informationUCLA STAT 13 Statistical Methods  Final Exam Review Solutions Chapter 7 Sampling Distributions of Estimates
UCLA STAT 13 Statistical Methods  Final Exam Review Solutions Chapter 7 Sampling Distributions of Estimates 1. (a) (i) µ µ (ii) σ σ n is exactly Normally distributed. (c) (i) is approximately Normally
More informationSolutions to Homework 5 Statistics 302 Professor Larget
s to Homework 5 Statistics 302 Professor Larget Textbook Exercises 4.79 Divorce Opinions and Gender In Data 4.4 on page 227, we introduce the results of a May 2010 Gallup poll of 1029 US adults. When asked
More informationShape of Data Distributions
Lesson 13 Main Idea Describe a data distribution by its center, spread, and overall shape. Relate the choice of center and spread to the shape of the distribution. New Vocabulary distribution symmetric
More information1) The table lists the smoking habits of a group of college students. Answer: 0.218
FINAL EXAM REVIEW Name ) The table lists the smoking habits of a group of college students. Sex Nonsmoker Regular Smoker Heavy Smoker Total Man 5 52 5 92 Woman 8 2 2 220 Total 22 2 If a student is chosen
More informationHYPOTHESIS TESTING: POWER OF THE TEST
HYPOTHESIS TESTING: POWER OF THE TEST The first 6 steps of the 9step test of hypothesis are called "the test". These steps are not dependent on the observed data values. When planning a research project,
More informationA) 0.1554 B) 0.0557 C) 0.0750 D) 0.0777
Math 210  Exam 4  Sample Exam 1) What is the pvalue for testing H1: µ < 90 if the test statistic is t=1.592 and n=8? A) 0.1554 B) 0.0557 C) 0.0750 D) 0.0777 2) The owner of a football team claims that
More informationSTAT 145 (Notes) Al Nosedal anosedal@unm.edu Department of Mathematics and Statistics University of New Mexico. Fall 2013
STAT 145 (Notes) Al Nosedal anosedal@unm.edu Department of Mathematics and Statistics University of New Mexico Fall 2013 CHAPTER 18 INFERENCE ABOUT A POPULATION MEAN. Conditions for Inference about mean
More informationMULTIPLE REGRESSION EXAMPLE
MULTIPLE REGRESSION EXAMPLE For a sample of n = 166 college students, the following variables were measured: Y = height X 1 = mother s height ( momheight ) X 2 = father s height ( dadheight ) X 3 = 1 if
More informationIn the past, the increase in the price of gasoline could be attributed to major national or global
Chapter 7 Testing Hypotheses Chapter Learning Objectives Understanding the assumptions of statistical hypothesis testing Defining and applying the components in hypothesis testing: the research and null
More informationMind on Statistics. Chapter 4
Mind on Statistics Chapter 4 Sections 4.1 Questions 1 to 4: The table below shows the counts by gender and highest degree attained for 498 respondents in the General Social Survey. Highest Degree Gender
More information