Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.   Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.   a. The test statistic is ​(Round to two decimal places as​ needed.)   b. The​ P-value is ​(Round to three decimal places as​ needed.)

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Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 37E: Find the positive geometric mean between 4 and 64.
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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal.
 
Refer to the accompanying data set. Use a 0.05 significance level to test the claim that women and men have the same mean diastolic blood pressure.

 

a. The test statistic is

​(Round to two decimal places as​ needed.)
 
b. The​ P-value is

​(Round to three decimal places as​ needed.)

Women Men
71.0 69.0
93.0 65.0
68.0
59.0
63.0
71.0
59.0
40.0
79.0
66.0
71.0
80.0
58.0
50.0
72.0 65.0
88.0
66.0
68.0
82.0
60.0
75.0
72.0
54.0
61.0
76.0
66.0
53.0
88.0
91.0
55.0 79.0
83.0
80.0
71.0
59.0
63.0 73.0
70.0
80.0
73.0
88.0
71.0
67.0
68.0
69.0 63.0
82.0 67.0
75.0
57.0
89.0
83.0
61.0
77.0
69.0
55.0
75.0
89.0
85.0
61.0
77.0 63.0
82.0
77.0
79.0
75.0
83.0
54.0
77.0 67.0
61.0
63.0
64.0
67.0
75.0
79.0
59.0
72.0
69.0
73.0
63.0 65.0
53.0
90.0
66.0
73.0
103.0
60.0
77.0
71.0
85.0
61.0
67.0
72.0
48.0
92.0
46.0
46.0
65.0
69.0
55.0
69.0
65.0
71.0
66.0
76.0
64.0 48.0
88.0
87.0
68.0
72.0
77.0
66.0
84.0 73.0
59.0 67.0
94.0
74.0
56.0
87.0
77.0
54.0
73.0
93.0
57.0
82.0
79.0
89.0
66.0
94.0
89.0
88.0
101.0
69.0
81.0
69.0
65.0
65.0
69.0
69.0
71.0
65.0 55.0
75.0
77.0
Women
65.0
73.0
56.0
59.0
81.0
71.0
70.0
64.0
65.0
84.0
53.0
77.0
75.0
51.0
90.0
58.0
81.0
81.0
76.0
66.0
71.0
62.0
87.0
57.0
77.0
76.0
91.0
63.0
70.0
80.0
42.0
74.0
71.0
46.0
73.0
89.0
79.0
68.0
68.0
74.0
61.0
69.0
55.0
57.0
71.0
68.0
75.0
40.0
71.0
55.0
67.0
79.0
65.0
75.0
65.0
Men 5₁₂₁
64.0
81.0
93.0
79.0
89.0
67.0
56.0
97.0
63.0
72.0
79.0
76.0
58.0
67.0
84.0
71.0
65.0
83.0
54.0
72.0
67.0
69.0
69.0
74.0
73.0
67.0
79.0
69.0
51.0
72.0
81.0
64.0
97.0
68.0
72.0
62.0
67.0
69.0 93.0
67.0
72.0
66.0
75.0
51.0
54.0
66.0
83.0
84.0
73.0
80.0
69.0
57.0
85.0
82.0
57.0
67.0
64.0
67.0
72.0
63.0
65.0
79.0
77.0 76.0
82.0
67.0
83.0
87.0
75.0
95.0
73.0
81.0
73.0
55.0
77.0
73.0
50.0
74.0
83.0
54.0
83.0
99.0
68.0
68.0
68.0
69.0
46.0
57.0
51.0
68.0
44.0
81.0
62.0
75.0
69.0
Transcribed Image Text:Women Men 71.0 69.0 93.0 65.0 68.0 59.0 63.0 71.0 59.0 40.0 79.0 66.0 71.0 80.0 58.0 50.0 72.0 65.0 88.0 66.0 68.0 82.0 60.0 75.0 72.0 54.0 61.0 76.0 66.0 53.0 88.0 91.0 55.0 79.0 83.0 80.0 71.0 59.0 63.0 73.0 70.0 80.0 73.0 88.0 71.0 67.0 68.0 69.0 63.0 82.0 67.0 75.0 57.0 89.0 83.0 61.0 77.0 69.0 55.0 75.0 89.0 85.0 61.0 77.0 63.0 82.0 77.0 79.0 75.0 83.0 54.0 77.0 67.0 61.0 63.0 64.0 67.0 75.0 79.0 59.0 72.0 69.0 73.0 63.0 65.0 53.0 90.0 66.0 73.0 103.0 60.0 77.0 71.0 85.0 61.0 67.0 72.0 48.0 92.0 46.0 46.0 65.0 69.0 55.0 69.0 65.0 71.0 66.0 76.0 64.0 48.0 88.0 87.0 68.0 72.0 77.0 66.0 84.0 73.0 59.0 67.0 94.0 74.0 56.0 87.0 77.0 54.0 73.0 93.0 57.0 82.0 79.0 89.0 66.0 94.0 89.0 88.0 101.0 69.0 81.0 69.0 65.0 65.0 69.0 69.0 71.0 65.0 55.0 75.0 77.0 Women 65.0 73.0 56.0 59.0 81.0 71.0 70.0 64.0 65.0 84.0 53.0 77.0 75.0 51.0 90.0 58.0 81.0 81.0 76.0 66.0 71.0 62.0 87.0 57.0 77.0 76.0 91.0 63.0 70.0 80.0 42.0 74.0 71.0 46.0 73.0 89.0 79.0 68.0 68.0 74.0 61.0 69.0 55.0 57.0 71.0 68.0 75.0 40.0 71.0 55.0 67.0 79.0 65.0 75.0 65.0 Men 5₁₂₁ 64.0 81.0 93.0 79.0 89.0 67.0 56.0 97.0 63.0 72.0 79.0 76.0 58.0 67.0 84.0 71.0 65.0 83.0 54.0 72.0 67.0 69.0 69.0 74.0 73.0 67.0 79.0 69.0 51.0 72.0 81.0 64.0 97.0 68.0 72.0 62.0 67.0 69.0 93.0 67.0 72.0 66.0 75.0 51.0 54.0 66.0 83.0 84.0 73.0 80.0 69.0 57.0 85.0 82.0 57.0 67.0 64.0 67.0 72.0 63.0 65.0 79.0 77.0 76.0 82.0 67.0 83.0 87.0 75.0 95.0 73.0 81.0 73.0 55.0 77.0 73.0 50.0 74.0 83.0 54.0 83.0 99.0 68.0 68.0 68.0 69.0 46.0 57.0 51.0 68.0 44.0 81.0 62.0 75.0 69.0
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