Question

Data: 59, 74, 73, 66, 80, 84, 90, 110, 37.2, 50, 101.8, 39, 80,
35, 88, 34, 82, 65, 61, 63, 66, 88, 70, 79, 75

b) Given the data above, calculate the 90% Confidence Interval.
(Again, show your work.)

Which is a bigger range, the 95% or 90% confidence interval?
Why?

Answer #1

b) from given data n = 25

xbar = 70 , s = 20.0

The 90% confidence interval for population mean

xbar - ta/2*(s/√n) < < xbar + ta/2*( s/√n)

For a = 0.10 , d.f = n -1 = 24

ta/2 , n-1 = t0.05,24 = 1.71

70 - 1.71*(20/√25) < < 70 + 1.71*(20/√25)

63.16 < < 76.84

This 90% confidence interval for population mean

Width = 76.84 - 63.16 = 13.68

The width of 95% confidence interval is 16.48

The 95% confidence interval has wide range than 90% confidence interval

You want to know how the commuting time of your employees
compare to Departments competing for the same staff, so you get
some survey data on average commuting times for 25 randomly
selected people in your line of business.
Data: 59, 74, 73, 66, 80, 84, 90, 110, 37.2, 50, 101.8, 39, 80, 35,
88, 34, 82, 65, 61, 63, 66, 88, 70, 79, 75
You find that the mean commuting time is 70 minutes, with a
standard deviation of...

TestScore
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Student Grades
Student
Test
Grade
1
76
62
2
84
90
3
79
68
4
88
84
5
76
58
6
66
79
7
75
73
8
94
93
9
66
65
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92
86
11
80
53
12
87
83
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86
49
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63
72
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92
87
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75
89
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69
81
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92
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79
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60
71
21
68
84
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71
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61
74
24
68
54
25
76
97...

Use ? to approximate σ. Use a 5% level of significance.
Data:
69
62
75
66
68
57
61
84
61
77
62
71
68
69
79
76
87
78
73
89
81
73
64
65
73
69
57
79
78
80
79
81
73
74
84
83
82
85
86
77
72
79
59
64
65
82
64
70
83
89
69
73
84
76
79
81
80
74
77
66
68
77
79
78
77

Refer to the accompanying data set and construct a 95%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
Males Females
81
82
72
94
52
57
59
66
51
54
62
80
52
77
74
85
51
89
62
57
73
35
61
64
62
87
80
74
80
79
63
62
63
67
97
76
43
60
85
65
72
86
66
85
73
69
72 ...

Question 1: Table 1 shows the number of customers visited by a
salesman over an 80-week period. Table 1: Customers Visited Over an
80-Week Period 68 64 75 82 68 60 62 88 76 93 73 79 88 73 60 93 71
59 85 75 61 65 75 87 74 62 95 78 63 72 66 78 82 75 94 77 69 74 68
60 96 78 89 61 75 95 60 79 83 71 79 62 67 97 78...

Below represent scores on an exam, each entry one score for one
student
40
99
59
98
63
63
64
65
67
35
67
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68
70
71
71
71
46
72
72
60
73
74
74
74
75
97
75
62
76
76
76
76
76
77
57
77
98
77
63
78
78
78
79
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80
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80
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80
81
81
92
81
93
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82
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84...

Mid Score
Final Score
80
78
87
85
72
81
69
54
86
70
83
73
78
89
75
84
74
86
75
79
84
75
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63
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73
69
80
86
75
78
72
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68
76
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90...

Refer to the accompanying data set and construct a 90%
confidence interval estimate of the mean pulse rate of adult
females; then do the same for adult males. Compare the results.
LOADING... Click the icon to view the pulse rates for adult females
and adult males. Construct a 90% confidence interval of the mean
pulse rate for adult females. nothing bpm less than < mu μ less
than < nothing bpm (Round to one decimal place as needed.)
Construct a...

1) Given the data set below
25 52 67 23 78 89 57 90 32 77
45 48 62 54 94 69 46 79 40 33
21 57 84 54 23 34 68 63 61 76
87 78 39 50 70 60 32 65 73 45
28 82 66 79 71 80 46 66 24 90
a) Construct a Frequency Distribution with 8 classes and a class
width of 10
b) Construct a Relative Frequency distribution from the frequency
distribution...

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