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.

Women Men Women Men 69.0 71.0 63.0 63.0 95.0 65.0 73.0 81.0 79.0 68.0 57.0 92.0 65.0 61.0 59.0 80.0 71.0 65.0 79.0 89.0 80.0 71.0 72.0 63.0 59.0 58.0 70.0 72.0 51.0 40.0 64.0 79.0 72.0 66.0 66.0 76.0 87.0 65.0 84.0 57.0 67.0 81.0 55.0 67.0 59.0 75.0 76.0 84.0 73.0 53.0 74.0 71.0 63.0 77.0 51.0 69.0 66.0 51.0 91.0 68.0 87.0 91.0 58.0 71.0 57.0 78.0 82.0 73.0 85.0 81.0 83.0 72.0 71.0 59.0 77.0 68.0 62.0 73.0 66.0 77.0 71.0 80.0 72.0 67.0 72.0 103.0 61.0 51.0 89.0 61.0 88.0 66.0 70.0 79.0 57.0 71.0 67.0 73.0 77.0 66.0 67.0 84.0 77.0 76.0 71.0 64.0 90.0 51.0 81.0 67.0 64.0 55.0 73.0 55.0 70.0 65.0 89.0 84.0 79.0 85.0 63.0 78.0 42.0 84.0 69.0 56.0 73.0 72.0 77.0 62.0 71.0 80.0 91.0 65.0 46.0 71.0 85.0 72.0 72.0 56.0 61.0 48.0 89.0 85.0 78.0 64.0 78.0 82.0 81.0 75.0 67.0 59.0 77.0 75.0 69.0 67.0 85.0 54.0 71.0 63.0 75.0 68.0 79.0 67.0 60.0 62.0 64.0 73.0 65.0 68.0 99.0 65.0 77.0 79.0 68.0 63.0 61.0 71.0 72.0 77.0 69.0 73.0 62.0 86.0 64.0 65.0 69.0 77.0 55.0 90.0 69.0 94.0 66.0 65.0 74.0 97.0 72.0 76.0 59.0 74.0 64.0 48.0 67.0 79.0 71.0 88.0 54.0 73.0 78.0 89.0 56.0 55.0 66.0 67.0 70.0 78.0 85 0 72 0 68 0 74 0 11/1/21, 3:06 PM Data for Diastolic Blood Pressure of Men and Women https://www.mathxl.com/Student/PlayerTest.aspx?testId=230138680 2/2 85.0 72.0 68.0 74.0 59.0 65.0 75.0 51.0 93.0 73.0 76.0 77.0 56.0 88.0 40.0 83.0 77.0 54.0 72.0 65.0 73.0 92.0 57.0 82.0 57.0 82.0 67.0 73.0 78.0 87.0 81.0 81.0 67.0 93.0 63.0 55.0 92.0 89.0 75.0 85.0 46.0 89.0 64.0 98.0 46.0 103.0 65.0 67.0 66.0 71.0 56.0 68.0 71.0 83.0 96.0 68.0 55.0 71.0 73.0 69.0 69.0 65.0 64.0 46.0 67.0 65.0 83.0 55.0 72.0 70.0 55.0 51.0 69.0 70.0 67.0 66.0 55.0 44.0 73.0 75.0 82.0 61.0 74.0 70.0

Let

1

be the mean diastolic blood pressure for women and let

2

be the mean diastolic blood pressure for men. What are the null and alternativehypotheses?

A.

H0:

1=2

H1:

1>2

B.

H0:

12

H1:

1=2

C.

H0:

1=2

H1:

12

D.

H0:

1<2

H1:

1=2

Calculate the test statistic.

t=enter your response here

(Round to two decimal places asneeded.)

Find theP-value.

P-value=enter your response here

(Round to three decimal places asneeded.)

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

Reject

Fail to reject

H0.

There

is not

is

sufficient evidence to warrant rejection of the claim that women and men have the same mean diastolic blood pressure.