# QMB3250 Assignment 4 Statistics

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### Question Description

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QMB 3250
Assignment 04

1. Q 01 (15 Points):

The following data represent the scores of a sample of 50 randomly chosen students on a

standardized test.

39 48 55 63 66 68 68 69 70 71  71 71 73 74 76 76 76 77 78 79  79 79 79 80 80 82 83 83 83 85  85 86 86 88 88 88 88 89 89 89  90 91 92 92 93 95 96 97 97 99

Write a 95% confidence interval for the mean score of all students who took the test.

2. Q 02 (15 Points):

The following sample of 16 measurements was selected from a population that is

approximately normally distributed.

61 85 92 77 83 81 75 78  95 87 69 74 76 84 80 83

Construct a 90% confidence interval for the population mean.

3. Q 03 (15 Points):

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 no  no yes yes yes no yes no no yes yes  no yes yes no yes yes no yes yes yes  yes no no yes yes yes yes yes no yes  no  yes yes no yes yes yes yes yes yes

Use a 90% confidence interval to estimate the proportion of employees who participate  in the company's stock purchase plan.

4. Q 04 (15 Points):

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 \$350 with 90% reliability. The initial sales indicate that the standard deviation
of the weekly sales figures is approximately \$1575.

How many weeks of data must be sampled for the company to get the information it
desires?

### Unformatted Attachment Preview

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 61 95 85 87 92 69 77 74 83 76 81 84 75 80 78 83 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 no yes yes yes yes QMB 3250 Assignment 04 1. Q 01 (15 Points): The following data represent the scores of a sample of 50 randomly chosen students on a standardized test. 39 71 79 85 90 48 71 79 86 91 55 73 79 86 92 63 74 80 88 92 66 68 68 69 70 71 76 76 76 77 78 79 80 82 83 83 83 85 88 88 88 89 89 89 93 95 96 97 97 99 Write a 95% confidence interval for the mean score of all students who took the test. 2. Q 02 (15 Points): The following sample of 16 measurements was selected from a population that is approximately normally distributed. 61 85 92 77 95 87 69 74 83 76 81 84 75 80 78 83 Construct a 90% confidence interval for the population mean. 3. Q 03 (15 Points): 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 yes yes no no yes no yes yes yes yes no no yes yes no no no no yes yes yes yes yes yes yes yes yes no no no no yes yes no yes yes yes yes yes no yes yes yes yes yes Use a 90% confidence interval to estimate the proportion of employees who participate in the company's stock purchase plan. 4. Q 04 (15 Points): 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 \$350 with 90% reliability. The initial sales indicate that the standard deviation of the weekly sales figures is approximately \$1575. How many weeks of data must be sampled for the company to get the information it desires? ...
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Daria4117
School: Duke University

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39
71
79
85
90

48
71
79
86
91

55
73
79
86
92

Mean
79.98
Standard Deviation
12.34453
Margin of Error
3.421665
Lower
76.55833 Upper

63
74
80
88
92

83.40167

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

61
95

85
87

92
69

Mean
80
Standard Deviation
8.3666
Margin of Error
3.666768
Lower
76.33323 Upper

77
74

83.66677

83
76

81
84

75
80

78
83

yes
no
no
yes
no

no
yes
yes
no
yes

no
yes
yes
no
yes

32
Number of participants
0.64
Sample...

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Anonymous
awesome work thanks

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