STAT/MATH 3379: Dr. Manage Chapter Assignment Chapter 1: The Nature of Statistics-Solutions

Transcription

1 STAT/MATH 3379: Dr. Manage Chapter Assignment Chapter 1: The Nature of Statistics-Solutions 1. statistics consists of methods for estimating and drawing conclusions about population characteristics based on the information in the sample. A) Observational B) Descriptive C) Inferential D) Sample 2. A magazine editor designs a survey to better serve the interests of the magazine s readers. Some of the questions about the respondent include the respondent s i) age. ii) gender. iii) income. (a) Which of these variables are qualitative? A) ii) B) i) and iii) C) ii) and iii) D) i), ii), and iii) (b) Which of these variables are continuous? A) ii) B) iii) C) i) and iii) D) None of the variables is continuous. 4. Participants in a weight-loss program are asked for the following biographical information upon entering the program: i) weight ii) gender iii) age (a) Which of these variables are quantitative? A) i) B) ii) C) iii) D) i) and iii) Page 1

2 (b) Which of these variables are discrete? A) i) B) ii) C) iii) D) None of the variables is discrete. 5. Identify which level of measurement is represented by the following data: the year you were born. A) Nominal D) Interval 6. Identify which level of measurement is represented by the following data: your major in college. A) Ordinal B) Nominal C) Interval D) Ratio 7. Identify which level of measurement is represented by the following data: the number of siblings you have. A) Nominal B) Interval C) Ordinal D) Ratio 8. Identify which level of measurement is represented by the following data: on a scale of 1 (strongly agree) to 5 (strongly disagree), do you agree or disagree that people convicted of murder should be subject to the death penalty? A) Interval D) Nominal Page 2

3 9. An on-campus career counselor would like to know what percentage of the college s graduates from the past 5 years are currently employed in their degree field. He interviews 300 graduates from the past 5 years. Define the population. A) The 300 graduates B) All graduates of the college over the past 5 years C) All graduates of the college D) The percentage of graduates of the college over the past 5 years who are currently employed in their degree field 10. In a survey of 700 residents, 440 were in support of a tax increase to cover the cost of building a new community recreation center. An advocate for the new center then stated that 63% of the town was in favor of the increase. Is this an example of descriptive statistics or statistical inference? A) Descriptive statistics B) Statistical inference 11. In a survey of 5000 tenth graders, 265 had used marijuana in the past month. Is this an example of descriptive statistics or statistical inference? A) Descriptive statistics B) Statistical inference 12. In a sample of 200 domestic violence calls, 143 callers refused to press charges once the police arrived at the scene. Is this an example of descriptive statistics or statistical inference? A) Descriptive statistics B) Statistical inference Page 3

4 13. The following table gives biographical information on the five most recent U.S. presidents. President State of birth Birth year Religion Age at inauguration Reagan Illinois 1911 Disciples of Christ 69 G.H.W. Bush Massachusetts 1924 Episcopalian 64 Clinton Arkansas 1946 Baptist 46 G.W. Bush Connecticut 1946 Methodist 54 Obama Hawaii 1961 United Church of Christ 47 (a) List the elements. A) President, state of birth, birth year, religion, age at inauguration B) The presidents C) Birth year and age at inauguration D) State of birth, birth year, religion, age at inauguration (b) List the variables. A) President, state of birth, birth year, religion, age at inauguration B) The presidents C) Birth year and age at inauguration D) State of birth, birth year, religion, age at inauguration Which variables are quantitative? A) President, state of birth, religion B) State of birth, religion C) Birth year, age at inauguration D) Age at inauguration (d) Which variables are qualitative? A) President, state of birth, religion B) State of birth, religion C) Birth year, age at inauguration D) Age at inauguration Page 4

5 Which level of measurement is represented by the data in the column Birth year? A) Ratio C) Nominal D) Interval (f) Which level of measurement is represented by the data in the column Age at inauguration? A) Interval D) Nominal (g)which level of measurement is represented by the data in the column Religion? A) Nominal C) Interval D) Ratio Page 5

6 14. Data on the top 5 companies to work for in 2009 (according to Fortune magazine) are presented in the following table. Company Headquarters Job growth U.S. employees Onsite child care NetApp Sunnyvale, CA 12% 5,014 No Edward Jones St. Louis, MO 9% 34,496 No Boston Boston, MA 10% 1,680 No Consulting Group Google Mountain View, 40% 12,580 Yes Wegmans Food Markets CA Rochester, NY 6% 37,195 No (a) List the elements. A) The companies B) Company, headquarters, onsite child care C) Job growth, U.S. employees D) Company, headquarters, job growth, U.S. employees, onsite child care (b) List the variables. A) The companies B) Company, headquarters, onsite child care C) Headquarters, job growth, U.S. employees, onsite child care D) Company, headquarters, job growth, U.S. employees, onsite child care Which of the variables are qualitative? A) Company, headquarters, onsite child care B) Headquarters, onsite child care C) Job growth, U.S. employees D) None of the variables are qualitative. (d)identify the level of measurement represented by the data in the column Onsite child care. A) Interval B) Nominal D) Ordinal Page 6

7 e) Identify the level of measurement represented by the data in the column Job Growth. A) Ordinal B) Nominal D) Interval 15. A quality control engineer at a manufacturing company samples every tenth production lot in order to estimate the proportion of defective items being produced. This is an example of what type of sampling? A) Stratified sampling B) Systematic sampling C) Cluster sampling D) Convenience sampling 16. A cable company divides its service area into neighborhoods, randomly selects 30 of these neighborhoods and then within these 30 neighborhoods, surveys each residence to determine which of the cable company s services the residence is using. This is an example of what type of sampling? A) Random sampling B) Stratified sampling C) Cluster sampling D) Systematic sampling 17. Students at a state university are sorted according to class (freshman, sophomore, junior, senior). The registrar then obtains a random sample of size 150 from each class. This is an example of what type of sampling? A) Convenience sampling B) Cluster sampling C) Stratified sampling D) Systematic sampling Page 7

8 18. A journalist attends a town hall meeting and surveys the attendees regarding the upcoming election for mayor. This is an example of what type of sampling? A) Convenience sampling B) Cluster sampling C) Stratified sampling D) Systematic sampling 19. The CEO of a manufacturing company is interested in whether a new type of machinery would increase his company s profits. Which type of study is involved? A) Experimental B) Observational 20. An advocate for a law banning cell phone use while driving is interested in the percentage of accidents involving drivers using cell phones. Which type of study is involved? A) Experimental B) Observational 21. The manager of a health club would like to know whether members who attend spinning classes exercise more frequently than members who do not attend spinning classes. Which type of study is involved? A) Experimental B) Observational 22. The manager of a health club would like to know whether members who attend spinning classes exercise more frequently than members who do not attend spinning classes. Identify the response and predictor variables. A) Response variable: frequency of exercise Predictor variable: whether the member attends spinning classes B) Response variable: whether the member attends spinning classes Predictor variable: frequency of exercise C) Response variable: whether the respondent is a member of the health club Predictor variable: whether the respondent attends spinning classes D) Response variable: whether the respondent attends spinning classes Predictor variable: whether the respondent is a member of the health club Page 8

9 23. Do first graders who participate in a new reading program score higher on reading assessment tests? Identify the response and predictor variables. A) Response variable: whether the child is a first grader Predictor variable: the child s reading assessment score B) Response variable: whether the child is in the new reading program Predictor variable: the child s reading assessment score C) Response variable: the child s reading assessment score Predictor variable: whether the child is in the new reading program D) Response variable: the child s reading assessment score Predictor variable: whether the child is in first grade 24. A pharmaceutical company would like to know whether subjects experience more headaches when taking a new blood pressure medication than when taking a placebo. Which type of study is involved? A) Experimental B) Observational 25. A pharmaceutical company would like to know whether subjects experience more headaches when taking a new blood pressure medication than when taking a placebo. Identify the response and predictor variables. A) Response variable: whether the subject is taking the new medication or the placebo Predictor variable: frequency of headaches experienced by the subject B) Response variable: frequency of headaches experienced by the subject Predictor variable: whether the subject is taking the new medication or the placebo C) Response variable: frequency of headaches while subject is taking the new medication Predictor variable: frequency of headaches while subject is taking the placebo D) Response variable: whether the subject s blood pressure decreases Predictor variable: whether the subject is taking the new medication or the placebo Page 9