# QMB3250 Assignment 4 Statistics

*label*Mathematics

*timer*Asked: Feb 5th, 2019

*account_balance_wallet*$9.99

### Question Description

Using the two attachments, Please answer the questions listed in the word doc and reflect those answers on the excel spreadsheet. Question 4 is not to be answered on the spreadsheet

**Attachment preview**

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

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## Tutor Answer

Let me know if you have any questions!

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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