Exam Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A magazine article reported on Springfield School District's magnet school programs. Of the 1654 qualified applicants, 881 were accepted, 278 were wait-listed, and 495 were turned away for lack of space. Find the relative frequency distribution of the decisions made, and write a sentence describing it.

1)

A) 1654 students applied for admission to the magnet schools program. 53% were accepted, and 47% were turned away. B) 1654 students applied for admission to the magnet schools program. 53% were accepted, 32% were wait-listed, and 30% were turned away. C) 1654 students applied for admission to the magnet schools program. 53% were accepted, 32% were wait-listed, and 56% were turned away. D) 1654 students applied for admission to the magnet schools program. 70% were accepted, and 30% were turned away. E) 1654 students applied for admission to the magnet schools program. 53% were accepted, 17% were wait-listed, and 30% were turned away. 2) A survey of autos parked in student and staff lots at a large university classified the brands by country of origin, as seen in the table. Driver American European Asian

Student 100 37 68

2)

Staff 82 17 64

What is the conditional distribution of origin for staff? A) 22% American, 5% European, 17% Asian B) 49% American, 18% European, 33% Asian C) 50% American, 10% European, 39% Asian D) 27% American, 10% European, 18% Asian E) 49% American, 15% European, 36% Asian 3) Students in a political science course were asked to describe their politics as "Liberal", "Moderate", or "Conservative." Here are the results: Politics Female Male Total

Liberal 43 45 88

Moderate 39 54 93

Conservative 5 28 33

Total 87 127 214

What percent of all males in the class are "Liberals"? A) 21%

B) 49.4%

C) 41.1%

1

D) 35.4%

E) 51.1%

3)

4) A magazine article reported on Springfield School District's magnet school programs. The article examined the impact of an applicant's ethnicity on the likelihood of admission. The data are summarized in the table below.

4)

Admission Decision Black/Hispanic Asian White Total

Accepted 454 113 311 878

Wait-listed 0 45 247 292

Turned away 36 142 361 539

Total 490 300 919 1709

What percent of all applicants were Black or Hispanic? A) 26.6%

B) 48.6%

C) 55.8%

D) 17.6%

E) 28.7%

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Create the requested display for the data. 5) The Centers for Disease Control lists causes of death for individual states in 2002. The mortality data for one state is given. Cause of Death Heart Disease Cancer Circulatory diseases and stroke Respiratory diseases Accidents

5)

Percent 28.7 23.6 7.2 5.8 4.1

Create a pie chart for these data. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Would you expect the distribution of this variable to be uniform, unimodal, or bimodal? Symmetric or skewed? Explain why. 6) Number of times each face of a fair five-sided die shows in 50 tosses. A) The distribution would likely be unimodal and skewed right. The average of the numbers on the face of the die would be around 3, with more tosses greater than 3. B) The distribution would likely be uniform, with around 10 occurrences of each side. C) The distribution would likely be unimodal and symmetric. The average of the numbers on the face of the die would be around 3, with a some tosses greater than 3 and some less than 3. D) The distribution would likely be unimodal and skewed left. The average of the numbers on the face of the die would be around 3, with more tosses less than 3. E) The distribution would likely be uniform, with around 50 occurrences of each side.

2

6)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Create the requested display for the data. 7) The diastolic blood pressures, in mm Hg, for a sample of patients at a clinic are given. Create a stem-and-leaf display of the data. Do not use split stems. 78 102 94 106 79 85 88 85

87 73 85 84 81 89 95 87

91 90 81 111 96 101 78 92

85 110 95 83 88 83 74 114

7)

97 105 77 92 100 120 105 83

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the mean of the data. 8) Here are the grocery bills, in dollars, for six shoppers.

8)

$46.70 $78.64 $71.05 $71.68 $50.71 $79.34 Round your answer to the nearest cent. A) $67.62

B) $79.62

C) $99.53

D) $66.35

E) $71.68

Find the median of the data. 9) Here are the weights, in ounces, of several snack crackers.

9)

0.61 1.15 0.77 1.62 0.73 0.76 1.23 1.15 1.53 0.95 0.61 1.12 1.04 0.70 0.47 1.12 0.76 1.04 1.72 0.73 0.56 A) 0.70 oz

B) 1.12 oz

C) 0.82 oz

D) 0.95 oz

E) 1.15 oz

Solve the problem. 10) The ages of the 21 members of a track and field team are listed below. Find the standard deviation. 15 24 28

18 24 28

A) 6.7

18 25 30

19 25 32

22 26 33

23 26 40

B) 6.5

24 27 42 C) 6.4

D) 6.6

3

E) 6.3

10)

Three statistics classes (50 students each) took the same test. Shown below are histograms of the scores for the classes. Use the histograms to answer the question.

11) For which class are the mean and median most different?

11)

A) Class 3, because the shape is symmetric. B) Class 2, because the shape is skewed to the right. C) Class 1, because the shape is skewed to the left. D) Class 2, because the shape is symmetric. E) Class 2, because the shape is skewed to the left. Use summary statistics to answer the question. 12) Here are the summary statistics for the monthly payroll for an accounting firm: lowest salary = $60,000, mean salary = $140,000, median = $100,000, range = $240,000, IQR = $ 120,000, first quartile = $70,000, standard deviation = $80,000.

12)

Suppose that business has been good and the company gives every employee a $10,000 raise. Give the new value of each of the summary statistics. A) Minimum: 60,000; Mean: 140,000; Median: 100,000; Range: 240,000; IQR: 120,000; Q1: 80,000; SD: 80,000 B) Minimum: 70,000; Mean: 150,000; Median: 100,000; Range: 240,000; IQR: 120,000; Q1: 80,000; SD: 80,000 C) Minimum: 70,000; Mean: 150,000; Median: 110,000; Range: 240,000; IQR: 120,000; Q1: 80,000; SD: 80,000 D) Minimum: 60,000; Mean: 150,000; Median: 110,000; Range: 240,000; IQR: 120,000; Q1: 80,000; SD: 80,000 E) Minimum: 70,000; Mean: 140,000; Median: 110,000; Range: 240,000; IQR: 120,000; Q1: 80,000; SD: 80,000 13) Here are some summary statistics for the recent English exam: lowest score = 33, mean score = 68, median = 82.2, range = 77, IQR = 59, Q1 = 27, standard deviation = 8.3. Between what two values are the middle 50% of the scores found? A) 17 and 51 B) 33 and 110 C) 20.55 and 61.65 D) 27 and 86 E) 68 and 82.2 4

13)

Find the number of standard deviations from the mean. Round to the nearest hundredths. 14) The weights of children age two average 25 pounds with a standard deviation of 3 pounds. How many standard deviations from the mean is a weight of 18 pounds?

14)

A) About 2.33 standard deviations below the mean B) About 2.33 standard deviations above the mean C) About 1.39 standard deviations above the mean D) About 1.22 standard deviations above the mean E) About 1.22 standard deviations below the mean Solve the problem. 15) A town's snowfall in December averages 19 inches with a standard deviation of 8 inches while in February, the average snowfall is 43 inches with a standard deviation of 14 inches. In which month is it more likely to snow 32 inches? Explain. 13 11 from the mean while snowfall of 32 inches is from A) December. Snowfall of 32 inches is 8 14

15)

the mean in February. B) December. Snowfall of 32 inches is

13 11 from the mean while snowfall of 32 inches is from 8 14

the mean in February. C) February. Snowfall of 32 inches is

11 13 from the mean while snowfall of 32 inches is from 14 8

the mean in December. D) It is equally likely in either month. One can't predict Mother Nature. 13 11 from the mean while snowfall of 32 inches is from E) February. Snowfall of 32 inches is 8 14 the mean in December. Draw the Normal model and use the 68-95-99.7 Rule to answer the question. 16) The amount of Jen's monthly phone bill is normally distributed with a mean of $55 and a standard deviation of $8. Draw and label the Normal model for Jen's monthly phone bill. In what interval would you expect the central 68% of bills to be found? A)

31

39

47 55 63 Phone Bill ($)

71

47 55 63 Phone Bill ($)

71

79 ; $39 to $63

B)

31

39

79 ; $39 to $71

5

16)

C)

31

39

47 55 63 Phone Bill ($)

71

47 55 63 Phone Bill ($)

71

47 55 63 Phone Bill ($)

71

79 ; $47 to $63

D)

31

39

79 ; $31 to $79

E)

31

39

79 ; $47 to $71

17) Assuming a Normal model applies, a town's average annual snowfall (in inches) is modeled by N(45, 8). Draw and label the Normal model. About what percent represents snowfall of less than 53 inches? A)

21

29

37 45 53 Snowfall (in.)

61

37 45 53 Snowfall (in.)

61

37 45 53 Snowfall (in.)

61

69 ; 16%

B)

21

29

69 ; 84%

C)

21

29

69 ; 2.5% 6

17)

D)

21

29

37 45 53 Snowfall (in.)

61

37 45 53 Snowfall (in.)

61

69 ; 99.85%

E)

21

29

69 ; 97.5%

18) Assuming a Normal model applies, a town's average annual snowfall (in inches) is modeled by N(42, 4). Draw and label the Normal model. What percent of snowfall is between 46 inches and 50 inches? A)

30

34

38 42 46 Snowfall (in.)

50

38 42 46 Snowfall (in.)

50

38 42 46 Snowfall (in.)

50

38 42 46 Snowfall (in.)

50

54 ; 16%

B)

30

34

54 ; 13.5%

C)

30

34

54 ; 32%

D)

30

34

54 ; 27% 7

18)

E)

30

34

38 42 46 Snowfall (in.)

50

54 ; 11%

8

Answer Key Testname: SAMPLE TEST 1

1) 2) 3) 4) 5)

E C D E

6) B 7) 12 11 10 9 8 7

0 014 012556 012245567 113334555577889 347889

Key: 10 5 = 105 mm Hg 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18)

D D A E C D A E C B B

9