STA 2023 Introduction to StatisticsPractice Test for Chapter 1, 2 and 3

MULTIPLE 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 health an d fitness club surveys 40 ran domly selected members and foun d that the average

w eight of those questioned is 157 lb.1)

A) Parameter B) Stat istic

2) A fter taking the first exam, 15 of the stu dents drop ped the class. 2)A) Stat istic B) Parameter

Identify the number as either continuous or discrete.3) T he total nu mber of phone calls a sales representati ve makes in a month is 425. 3)

A) D iscrete B) Continuous

4) T he average height of all fresh men entering college in a certain year is 68.4 inches. 4)A) D iscrete B) Continuous

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate.5) Temperatures of the ocean at various depths. 5)

A) Ratio B) O rdinal C) Interval D) N ominal

6) N ationalities of survey respon dents. 6)A) Ratio B) O rdinal C) Interval D) N ominal

7) A ges of su rvey respondents. 7)A) Interval B) N ominal C) O rdinal D) Ratio

Is the study experimental or observational?8) A quality control specialist com pares the outp ut from a machine w ith a ne w lubricant to the outp ut

of machines with the old lubricant.8)

A) O bser vational B) Experimental

9) A stock analyst selects a stock from a group of tw enty for investment by choosing the stock w ith thegreatest earnings per share reported for the last quarter.

9)

A) Experimental B) O bser vational

Identify the type of observational study.10) A researcher plans to obtain data by follo w ing those in cancer remission since January of 2002. 10)

A) C ross- sectional B) Retrospecti v e C) Prospecti ve D) N one of these

11) A to w n obtains current em ploy ment data by polling 10,000 of its citizens this month. 11)A) Retrospecti v e B) Prospecti ve C) C ross- sectional D) N one of these

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Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.12) 49, 34, and 48 students are selected from the Sophomore, Junior, an d Senior classes with 496, 348,

an d 481 stu dents respecti vely.12)

A) Con venienceB) StratifiedC) RandomD) SystematicE) C luster

Use critical thinking to develop an alternative conclusion.13) A stu d y shows that ad ults w ho w ork at their desk all day w eigh more than those w ho do not.

Conclusion: D esk jobs cause people to gain weight. D o you agree w ith the conclusion of the stu d y?W h y or w h y not?

13)

A) N o, the conclusion is not correct. D esk job w orkers are confined to their chairs for most oftheir w ork day. Other jobs require stan ding or walking aroun d w hich burns calories. It isprobably the lack of exercise that causes higher weights, not the desk job itself. A voi dcausality altogether by saying lack of walking an d exercise is associated w ith higher w eights.

B) Yes, the stu d y conclusion is correct. Since the average w eight of people w ith desk jobs ishigher than the w eight of those w ho do not have desk jobs, we can say that desk jobs causew orkers to weigh more.

C) N o, the conclusion is not correct. T he stu d y must be flaw ed. It should make no difference ina person's w eight w hether they w ork at a desk or not.

Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience.14) A pollster uses a com puter to generate 500 random n u mbers, then inter v iews the voters

correspon ding to those nu mbers.14)

A) C lusterB) StratifiedC) Con venienceD) RandomE) Systematic

15) A n ed ucation researcher ran doml y selects 48 mid dle schools and inter v iews all the teachers at eachschool.

15)

A) StratifiedB) RandomC) Con venienceD) C lusterE) Systematic

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Solve the problem.16) Using the information in the table on home sale prices in the city of Sum merhill for the month of

June, fin d the class bou ndaries for class 80.0- 110.9.

Class Limits (Sale price in thousan ds)

Frequency ( N o. of homes sold)

80.0 - 110.9111.0 - 141.9142.0 - 172.9173.0 - 203.9204.0 - 234.9235.0 - 265.9

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16)

A) 79.90, 111.0 B) 79.95, 110.95 C) 80.00, 110.95 D) 79.90, 110.95

17) Using the information in the table on home sale prices in the city of Sum merhill for the month ofJu ne, fin d the class mi d point for class 235.0- 265.9.

Class Limits (Sale price in thousan ds)

Frequency ( N o. of homes sold)

80.0 - 110.9111.0 - 141.9142.0 - 172.9173.0 - 203.9204.0 - 234.9235.0 - 265.9

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17)

A) 250.55 B) 250.50 C) 250.45 D) 250.40

18) Using the information in the table on home sale prices in the city of Sum merhill for the month ofJune, determine the w idth of each class.

Class Limits (Sale price in thousan ds)

Frequency ( N o. of homes sold)

80.0 - 110.9111.0 - 141.9142.0 - 172.9173.0 - 203.9204.0 - 234.9235.0 - 265.9

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18)

A) 15.5 B) 30.9 C) 31 D) 32

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Construct the cumulative frequency distribution that corresponds to the given frequency distribution.19)

Days of vacation F requency

0 - 1 192 - 3 204 - 5 166 - 7 228 - 9 23

19)

A) Days of

vacation C u m ulati v e

F requency0 - 1 192 - 3 394 - 5 556 - 7 778 - 9 100

B) Days of

vacation C u m ulati v e

F requency0 - 1 392 - 3 554 - 5 776 - 7 1008 - 9 123

C) Days of

vacation C u m ulati v e

F requency0 - 1 0.192 - 3 0.24 - 5 0.166 - 7 0.228 - 9 0.23

D) Days of

vacation C u m ulati v e

F requency0 - 1 192 - 3 394 - 5 566 - 7 788 - 9 100

Construct the relative frequency distribution that corresponds to the given frequency distribution.20)

Incomes Frequency200- 300 61301- 400 70401- 500 84501- 600 95

>600 11

20)

A)

Incomes Relativ e

F requency201- 300 15.5%301- 400 22.1%401- 500 31.3%501- 600 16.2%

>600 14.9%

B)

Incomes Relativ e

F requency200- 300 12.5%301- 400 20.1%401- 500 37.3%501- 600 15.2%

>600 14.9%C)

IncomesRelati ve

F requency200- 300 19.00%301- 400 21.81%401- 500 26.17%501- 600 29.60%

>600 3.43%

D)

Incomes Relativ e

F requency200- 300 25.77%301- 400 29.87%401- 500 3.45%501- 600 18.77%

>600 25.85%

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A nurse measured the blood pressure of each person who visited her clinic. Following is a relative-frequency histogramfor the systolic blood pressure readings for those people aged between 25 and 40. Use the histogram to answer thequestion. The blood pressure readings were given to the nearest whole number.

21) A p proximatel y w hat percentage of the people aged 25- 40 had a systolic blood pressure readingbetw een 110 an d 119 inclusi ve?

21)

A) 35% B) 0.35% C) 30% D) 3.5%

22) W hat common class w idth was used to construct the frequency distribution? 22)A) 10 B) 100 C) 11 D) 9

23) Identify the center of the third class. 23)A) 130 B) 125 C) 120 D) 124

Construct a pie chart representing the given data set.24) T he follow ing figures gi ve the distribution of land (in acres) for a county containing 85,000 acres.

Forest Farm U rban12,750 8500 63,750

24)

A) B)

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Use the data to create a stemplot.25) T he atten dance counts for this season 's basketball games are listed belo w .

227 239 215 219221 233 229 233235 228 245 231

25)

A)21222324

5 9 1 7 8 9 1 3 3 5 9 5

B)21222324

5 7 9 1 8 9 1 3 3 5 9 5

Consider the data graphed in the scatterplot, to answer the question.26) A sam ple of 54 w ild bears (anesthetized) yielded measurements inclu ding w eight, age, chest size,

length and headlength. T he follo w ing scatterplots sho w the relationship betw een pairs ofvariables. By examining the scatterplots, w hich of the variables gives the closest l inear relationshipw ith w eight.

26)

A) B)

C) D)

Find the mean for the given sample data.27) Frank's F urniture em ployees earned the follo w ing amou nts last week:

$453.83 $529.91 $439.27 $309.23 $453.86 $533.25 $457.25 $156.42 $152.64W hat w as the mean amou nt earned by an employee last week? Rou n d your answ er to the nearestcent.

27)

A) $387.30 B) $435.71 C) $380.63 D) $497.95

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Find the mean of the data summarized in the given frequency distribution.28) The test scores of 40 stu dents are su mmari zed in the frequency d istribution belo w. F in d the mean

score.

Score Stu dents50- 59 760- 69 570- 79 1080- 89 690- 99 12

28)

A) 69.6 B) 77.3 C) 74.5 D) 73.4

Find the median for the given sample data.29) T he nu mber of vehicles passing through a ban k dri ve - up l ine duri ng each 15 - minute period was

recorded. T he results are show n belo w . Fin d the median nu mber of vehicles going through the linei n a fifteen - minute period.21 23 21 2424 21 26 2331 27 27 2520 27 21 1611 23 23 23

29)

A) 22.85 B) 23 C) 24 D) 27

Find the midrange for the given sample data.30) Bill kept track of the nu mber of hours he spent exercising each w eek. T he results for 15 w eeks are

sho w n belo w. Fin d the midrange.7.2 7.0 7.2 7.4 7.57.5 6.5 8.0 8.1 7.48.7 7.0 7.5 8.9 7.5

30)

A) 7.70 B) 7.60 C) 2.4 D) 7.5

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.31) 2, 6, 15, 9, 11, 22, 1, 4, 8, 19 31)

A) 7.1 B) 6.8 C) 6.3 D) 2.1

32) To get the best deal on a C D player, Tom called eight ap pliance stores and asked the cost of aspecific model. T he prices he was quoted are listed belo w : $391 $295 $388 $210 $367 $325 $169 $276C omp ute the stan dard dev iation s.

32)

A) $779,601.0 B) $321.5 C) $732,655.1 D) $81.9

Solve the problem.33) A com pan y performs quality control on its juice bottles. It fin ds that the vol u mes of juice in its 16

ounce bottles have a mean of 16.2 ounces and a stan dard dev iation of 0.07 ou nces. Use the rangerule of thu mb to estimate the minimu m an d maxim u m " usual " volu mes.

33)

A) 16.01 ounces, 16.11 ounces B) 16.06 ounces, 16.34 ouncesC) 15.99 ounces, 16.41 ounces D) 16.13 ounces, 16.27 ounces

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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 -2.00 or greater than 2.00. Round the z-score to the nearest tenthif necessary.

34) A w eight of 220 poun ds among a pop ulation hav ing a mean weight of 161 poun ds and a stan darddeviation of 23.5 pounds.

34)

A) - 2.5; not unusual B) 2.5; un usualC) 58.8; un usual D) 2.5; not unusual

Determine which score corresponds to the higher relative position.35) W hich score has a higher relati ve position, a score of 278.4 on a test for w hich x = 240 and s = 24, or

a score of 66 on a test for w hich x = 60 and s = 6?35)

A) A score of 66B) Both scores have the same relati ve position.C) A score of 278.4

Find the percentile for the data point.36) D ata set: 6 3 21 15 6 15 30 27 33 9 3 30 18 3 30;

data point 2136)

A) 60 B) 70 C) 52 D) 35

Find the indicated measure.37) T he w eights (in poun ds) of 30 ne w born babies are listed below . Fin d P16.

5.5 5.7 5.8 5.9 6.1 6.1 6.4 6.4 6.5 6.66.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.27.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

37)

A) 4.8 B) 6.0 C) 6.1 D) 5.9

38) T he w eights (in poun ds) of 30 ne w born babies are listed below . Fin d P20.5.5 5.7 5.8 6.0 6.1 6.1 6.3 6.4 6.5 6.66.7 6.7 6.7 6.9 7.0 7.0 7.0 7.1 7.2 7.27.4 7.5 7.7 7.7 7.8 8.0 8.1 8.1 8.3 8.7

38)

A) 7.2 B) 6.3 C) 6.1 D) 6.2

Construct a boxplot for the given data. Include values of the 5-number summary in all boxplots.39) The highest temperatures ever recorded (in °F) in 32 different U .S. states are sho w n belo w.

Construct a boxplot for the data set.100 100 105 105 106 106 107 107109 110 110 112 112 112 114 114114 115 116 117 118 118 118 118118 119 120 121 122 125 128 134

39)

A) B)

C) D)

8

Use the given data to construct a frequency distribution.40) O n a math test, the scores of 24 stu dents w ere

97 74 77 65 77 77 97 81 77 61 88 7474 88 77 74 88 77 74 81 74 88 81 65

C onstruct a frequency table. Use 4 classes beginning w ith a lo w er class limit of 60.

40)

A) Score F requency60 - 69 370 - 79 1280 - 89 790 - 99 2

B) Score F requency60 - 70 370 - 80 1280 - 90 7

90 - 100 2

C) Score F requency60 - 73 374 - 87 15

88 - 101 6

A N SW ERS1 - 10: B B A B C D D B B C11- 20: C B A D D B C C A C21- 30: A A B B A A A B B A31- 40: A D B B C A C D A A

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