MUL nple CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 Dr. ZABDAWC'Q t,. \, / Name..)Jol,'." U MATH 2101/Exam I 7/3/07 MUL nple CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine whether the given value is a statistic or a parameter. 1) A sample of 120 employees of a company is selected, and the average age is found to be 37 years. (B Statistic B) Parameter Identify the number as either continuous or discrete. 2) The average height of all freshmen entering college in a certain year is 68.4 inches. Continuous B) Discrete Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. 3) The sample of spheres categorized from softest to hardest. A) Ratio rdinal C) Interval D) Nominal 1) 2) 3) L ll. 2_- 4) Salaries of college professors. A) C) Nominal D) Interval 4)b Perform the reauested - conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. 5) Convert 0.4 to an equivalent fraction and percentage., 4% B) -To, 40%, 3 40% 4% D)W' 5) L Identify the type of observational study. 6) A statistical analyst obtains data about ankle injuries by examining a hospital's records from the past 3 years. A) Cross-sectional B) D) None of these Is the study experimental or observational? 7) A marketing firm does a survey to find out how many people use a product. Of the one hundred people contacted, fifteen said they use the product. A) Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 8) 49,34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496,348, and 481 students respectively. A) Convenience B) Cluster C) Random D) Systematic (ffj)stratified 6) L 7) -:12-- 8) 1

2 Solve the problem. 9) The following frequency distribution analyzes the scores on a math test. Find the indicated class midpoint or boundaries. NUMber of' Scores st:udent:s The class midpoint of scores interval (!) 49.5 B) ) Using the employment information in the table on Alpha Corporation, determine the width of each class. Years employed at Alpha Corporation Class Limits Frequency (years of service) (No. of employees) A) 4 B) 6 Construct the cumulative frequency distribution that corresponds to the given frequency distribution. 11) Number Speed of balls C) 49.0 D) D) 10 9) 10) 7,.::- c. 11) A) C9 Speed 0-29 Frequency Speed Frequency B) Speed Frequency D) None of the above 2

3 A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogram for the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer the question. The blood pressure readings were given to the nearest whole number. 12) Identify the center of the third class. A) 120 B) 130 C) 124 Use the circle graph to solve the problem ) A survey of the 5589 vehicles on the campus of State University yielded the following pie chart. 12) 13) D A Motorcycles 9% Convertibles 16% Hatchbacks 36% / Sedans Pickups 6% 25% What percent of the vehicles are hatchbacks? c:3'j!6% B) 25% Find the original data from the stem-and-leaf plot. 14) C) 8% D) 201 % 14) -.fl B) 35,31,39,41,51,55 D) 31,35,31,49,59,55 3

4 Find the mean for the given sample data. 15) Six college buddies bought each other Christmas gifts. They spent: $ $ $ $ $ $ What was the mean amount spent? Round your answer to the nearest cent. A) $ B) $ C) $ Find the mean of the data summarized in the given frequency distribution. 16) A company had 80 employees whose salaries are summarized in the frequency distribution below. 16) Find the mean salary. f4 f\ 5,001-10,000 Salary ($) Employees 16 "1- Ilt': 7]001 c fz.oooce '"R - Rt{o \ 10,001-15, f2'foj\5 r'jo.9, 0 :f';; 15,001-20,000 15!1-'f<"S $1'::?7c6-:; 20,001-25, ro t 't:,t).'), 5 ::;Cv9: SO 18 0 ;:: 1+9"31/ 5 " h 445"0\]1" A) $19, B) $17,500 '11-10.) I tj "-9 $17, D) $16, ) ij c Find the standard deviation for the given data. Round your answer to one more decimal place than the original data. 17)2,6,15,9,11,22,1,4,8,19 17) A) 6.3 B) 2.1 C) 7.1 D) leo --.,., (vi( -I Z 0 =- 2- Use the empmcal rule to solve the problem. 6(!::' Ill- - 2 I '2 - (2-18) The systolic blood pressure of 18-year-old women is normally distributed with a mean of ) mmhg and a standard deviation of 12 mmhg. What percentage of 18-year-old women have a systolic blood pressure be\hg and 144 mm, A) 99.99% lsy D) 99.7% Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual. Consider a score to be unusual if its z-score is less than or greater than Round the z-score to the nearestenth if necessary. 19) A test score of 54.0 on a test having a mean of 73 and a standard deviation of 10. A) -1.9; unusual B) 1.9; not unusual ( )-1.9;notunusual D) -19; unusual -= Find the indicated measure. (v - 20) Use the given sample data to find QJ () B) 6.0 C) 67.0 D) ) 20) JL 4

5 Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots. 21) The weights (in pounds) of 30 newborn babies are listed below. Construct a boxplot for the data set l 21) G I B) --1 I H s.s I -i Find the percentile for the data point. 22) In a data set with a range of 66.5 to and 200 observations, there are 138 data points with values less than Find the percentile for A) 32 B) ) D) ) c -L":; -({\ t2{, = '1tf, of- t t. -:::,-ll