# Barstow Community College Construct a Frequency Table for The Data Questions

BCC Math 2 Final Exam Form 625

Spring 2021

Professor Yuan

Name ___________________________________

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All pages of the exam must be submitted on the same email, to cyuan@barstow.edu, before 11:59 pm 5/20/2021, Pacific Time.

Solve the problem.

1) The data below show the types of medals won by athletes representing the United States in

the Winter Olympics.

gold

bronze

gold

gold

gold

gold

silver

gold

silver

silver

silver

bronze

gold

silver

bronze

bronze

bronze

bronze

bronze

silver

silver

gold

1)

silver

gold

silver

a. Construct a frequency table for the data.

b. Construct a relative frequency table for the data.

c. Construct a frequency bar graph for the data.

2) The amount of television viewed by today’s youth is of primary concern to Parents Against

Watching Television (PAWT). 300 parents of elementary school-aged children were asked

to estimate the number of hours per week that their child watches television. The mean

and the standard deviation for their responses were 19 and 2, respectively. PAWT

constructed a stem-and-leaf display for the data that showed that the distribution of times

was a symmetric, mound-shaped distribution. Give an interval where you believe

approximately 95% of the television viewing times fell in the distribution.

1

2)

3) A local newspaper claims that 70% of the items advertised in its classifieds section are sold

within 1 week of the first appearance of the ad. To check the validity of the claim, the

newspaper randomly selected n = 25 advertisements from last year’s classifieds and

contacted the people who placed the ads. They found that 14 of the 25 items sold within a

week. Based on the newspaper’s claim, is it likely to observe x 14 who sold their item

within a week?

3)

4) Sales of a new line of athletic footwear are crucial to the success of a newly formed

company. The company wishes to estimate the average weekly sales of the new footwear

to within $150 with 99% reliability. The initial sales indicate that the standard deviation of

the weekly sales figures is approximately $1550. How many weeks of data must be

sampled for the company to get the information it desires?

4)

5) The scores on a standardized test are reported by the testing agency to have a mean of 70.

Based on his personal observations, a school guidance counselor believes the mean score is

much higher. He collects the following scores from a sample of 50 randomly chosen

students who took the test.

5)

39

71

79

85

90

48

71

79

86

91

55

73

79

86

92

63

74

80

88

92

66

76

80

88

93

68

76

82

88

95

68

76

83

88

96

69

77

83

89

97

70

78

83

89

97

71

79

85

89

99

Use the data to conduct a test of hypotheses at = .05 to determine whether there is any

evidence to support the counselor’s suspicions.

6) One year, the distribution of salaries for professional sports players had mean $1.6 million

and standard deviation $0.8 million. Suppose a sample of 400 major league players was

taken. Find the approximate probability that the average salary of the 400 players that year

exceeded $1.1 million.

6)

7) The table shows the number of each type of book found at an online auction site during a

recent search.

7)

Type of Book

Children’s

Fiction

Nonfiction

Educational

Number

51,033

141,114

253,074

67,252

a. Construct a relative frequency table for the book data.

b. Construct a pie chart for the book data.

2

8) An ink cartridge for a laser printer is advertised to print an average of 10,000 pages. A

random sample of eight businesses that have recently bought this cartridge are asked to

report the number of pages printed by a single cartridge. The results are shown.

9771

9975

9811

10,079

9885

10,145

8)

9914

10,214

Assume that the data belong to a normal population. Test the null hypothesis that the

mean number of pages is 10,000 against the alternative hypothesis µ 10,000. Use = .10.

9) Three companies (A, B, and C) are to be ranked first, second, and third in a list of

companies with the highest customer satisfaction.

9)

a. List all the possible sets of rankings for these top three companies.

b. Assuming that all sets of rankings are equally likely, what is the probability that

Company A will be ranked first, Company B second, and Company C third?

c. Assuming that all sets of rankings are equally likely, what is the probability that

Company B will be ranked first?

10)

10)

For the distribution drawn here, identify the mean, median, and mode.

11) A recent survey found that 70% of all adults over 50 wear glasses for driving. In a random

sample of 70 adults over 50, what is the mean and standard deviation of the number who

wear glasses?

3

11)

12) The overnight shipping business has skyrocketed in the last ten years. The single greatest

predictor of a company’s success is customer service. A study was conducted to determine

the customer satisfaction levels for one overnight shipping business. In addition to the

customer’s satisfaction level, the customers were asked how often they used overnight

shipping. The results are shown below in the following table:

Frequency of Use

< 2 per month
2 - 5 per month
> 5 per month

TOTAL

High

250

140

70

460

Satisfaction level

Medium

140

55

25

220

Low

10

5

5

20

12)

TOTAL

400

200

100

700

A customer is chosen at random. Given that the customer uses the company two to five

times per month, what is the probability that the customer expressed low satisfaction with

the company?

13) In a study of feeding behavior, zoologists recorded the number of grunts of a warthog

feeding by a lake in the 15 minute period following the addition of food. The data showing

the number of grunts and and the age of the warthog (in days) are listed below:

Number of Grunts

90

68

39

44

63

40

62

17

20

13)

Age (days)

125

141

155

160

167

174

183

189

195

Find and interpret the value of r.

14) The data below show the age and favorite type of music of 779 randomly selected people.

Test the claim that age and preferred music type are independent. Use = 0.05.

Age

Country Rock Pop Classical

15 – 21

21

45

90

33

21 – 30

68

55

42

48

30 – 40

65

47

31

57

40 – 50

60

39

25

53

4

14)

15) A random sample of 50 employees of a large company was asked the question, “Do you

participate in the company’s stock purchase plan?” The answers are shown below.

yes

no

no

yes

no

no

yes

yes

no

yes

no

yes

yes

no

yes

yes

yes

no

yes

no

no

no

yes

yes

yes

no

yes

yes

yes

yes

yes

no

no

yes

yes

yes

no

yes

yes

yes

no

yes

yes

no

yes

15)

no

yes

yes

yes

yes

Use a 90% confidence interval to estimate the proportion of employees who participate in

the company’s stock purchase plan.

16) To help consumers assess the risks they are taking, the Food and Drug Administration

(FDA) publishes the amount of nicotine found in all commercial brands of cigarettes. A

new cigarette has recently been marketed. The FDA tests on this cigarette yielded a mean

nicotine content of 25.9 milligrams and standard deviation of 2.7 milligrams for a sample

of n = 95 cigarettes. Find a 95% confidence interval for µ.

16)

17) Each year advertisers spend billions of dollars purchasing commercial time on network

television. In the first 6 months of one year, advertisers spent $1.1 billion. Who were the

largest spenders? In a recent article, the top 10 leading spenders and how much each spent

(in million of dollars) were listed:

17)

Company A

Company B

Company C

Company D

Company E

$72

63.6

57.3

54

31.1

Company F $27.3

Company G

25

Company H 23.8

Company I

23.1

Company J

19.2

Calculate the sample variance.

18) Farmers often sell fruits and vegetables at roadside stands during the summer. One such

roadside stand has a daily demand for tomatoes that is approximately normally

distributed with a mean of 128 tomatoes and a standard deviation of 30 tomatoes. How

many tomatoes must be available on any given day so that there is only a 1.5% chance that

all tomatoes will be sold?

18)

19) The following data represent the scores of 50 students on a statistics exam. The mean score

is 80.02, and the standard deviation is 11.9.

19)

39

71

79

85

90

51

71

79

86

90

59

73

79

86

91

63

74

80

88

91

66

76

80

88

92

68

76

82

88

95

68

76

83

88

96

69

77

83

89

97

70

78

83

89

97

71

79

85

89

98

What percentage of the scores lies within one standard deviation of the mean? two

standard deviations of the mean? three standard deviations of the mean? Based on these

percentages, do you believe that the distribution of scores is mound-shaped and

symmetric? Explain.

5

20) The following random sample was selected from a normal population: 9, 11, 8, 10, 14, 8.

Construct a 95% confidence interval for the population mean µ.

6

20)

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