Question

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 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure.

(a) calculate the test statistic

t=

(b) find p-vlaue

p-value=

(c) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim.

(Reject/no reject) H0. There (is/is not) sufficient evidence to warrant rejection of the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. The difference (is/is not) statistically significant.

(e)If there is a statistically significant? difference, does that difference have practical? significance?

A. The sample means suggest that the difference does not have practical significance. The generator could be used as a substitute when needed.

B. The sample means suggest that the difference does have practical significance. The generator could not be used as a substitute when needed.

C. The sample means suggest that the difference does notdoes not have practical significance. The generator

could notcould not be used as a substitute when needed.

D. The difference is not statistically significant.

Women;Men
71.0;69.0
95.0;64.0
80.0;69.0
66.0;60.0
71.0;63.0
80.0;69.0
58.0;59.0
51.0;40.0
73.0;65.0
89.0;65.0
68.0;81.0
61.0;74.0
73.0;53.0
61.0;77.0
65.0;53.0
89.0;91.0
57.0;77.0
85.0;79.0
69.0;61.0
62.0;72.0
69.0;81.0
71.0;103.0
87.0;60.0
70.0;77.0
66.0;73.0
68.0;85.0
70.0;65.0
81.0;67.0
74.0;56.0
91.0;83.0
63.0;77.0
69.0;56.0
76.0;61.0
89.0;67.0
85.0;72.0
60.0;48.0
78.0;63.0
83.0;77.0
77.0;73.0
83.0;54.0
76.0;68.0
61.0;63.0
63.0;69.0
77.0;77.0
61.0;73.0
69.0;74.0
65.0;65.0
55.0;90.0
67.0;66.0
73.0;76.0
63.0;48.0
71.0;87.0
79.0;88.0
65.0;67.0
83.0;73.0
59.0;65.0
94.0;74.0
57.0;89.0
75.0;55.0
73.0;91.0
57.0;82.0
79.0;89.0
67.0;94.0
92.0;89.0
46.0;89.0
46.0;102.0
67.0;69.0
69.0;81.0
57.0;71.0
69.0;65.0
67.0;65.0
72.0;70.0
70.0;70.0
66.0;53.0
73.0;76.0
63.0;64.0
72.0;81.0
56.0;93.0
59.0;81.0
81.0;87.0
73.0;63.0
71.0;72.0
63.0;79.0
65.0;76.0
85.0;58.0
55.0;67.0
75.0;84.0
73.0;71.0
52.0;68.0
89.0;68.0
58.0;69.0
82.0;73.0
83.0;71.0
75.0;67.0
66.0;77.0
71.0;69.0
62.0;50.0
89.0;66.0
55.0;71.0
76.0;67.0
75.0;76.0
90.0;51.0
65.0;55.0
69.0;65.0
80.0;85.0
42.0;84.0
73.0;72.0
72.0;81.0
46.0;70.0
72.0;57.0
87.0;83.0
78.0;81.0
69.0;59.0
68.0;67.0
73.0;63.0
79.0;67.0
65.0;71.0
97.0;64.0
67.0;63.0
71.0;78.0
63.0;87.0
68.0;77.0
68.0;93.0
74.0;97.0
59.0;75.0
68.0;80.0
53.0;74.0
55.0;57.0
71.0;79.0
68.0;75.0
75.0;51.0
75.0;75.0
40.0;82.0
71.0;66.0
57.0;82.0
69.0;73.0
79.0;83.0
64.0;54.0
75.0;83.0
64.0;99.0
67.0;68.0
56.0;68.0
97.0;69.0
71.0;69.0
63.0;46.0
83.0;57.0
54.0;51.0
;68.0
;44.0
;83.0
;62.0
;74.0
;70.0

Answer 1

Following is the output of descriptive statistics:

Descriptive statistics
	Women, X1	Men, X2
count	147	153
mean	70.14	71.35
sample standard deviation	11.1785	12.0282
sample variance	124.96	144.68
minimum	40	40
maximum	97	103
range	57	63

(a) t = -0.903

(b) p-value = 0.3673

(c)

no reject H0. There is not sufficient evidence to warrant rejection of the claim that the samples are from the populations with the same mean. The difference is not statistically significant.

(d)

The difference in sample means is 71.35 - 70.14 = 1.21

That is difference is neither practical significant nor statistical significant.