A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally...

A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.			Men	Women
μ	μ1	μ2
n	11	59
x	97.74°F	97.36°F
s	0.85°F	0.71°F

a. Use a

0.01

significance level to test the claim that men have a higher mean body temperature than women.

What are the null and alternative hypotheses?

H0:

μ1=μ2

H1:

μ1>μ2

Your answer is correct.

H0:

μ1=μ2

H1:

μ1≠μ2

H0:

μ1≠μ2

H1:

μ1<>

H0:

μ1≥μ2

H1:

μ1<>

The test statistic, t, is

1.391.39.

(Round to two decimal places as needed.)

The P-value is

0.0930.093.

(Round to three decimal places as needed.)

State the conclusion for the test.

Reject

the null hypothesis. There

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Reject

the null hypothesis. There

is not

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Fail to reject

the null hypothesis. There

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Fail to reject

the null hypothesis. There

is not

sufficient evidence to support the claim that men have a higher mean body temperature than women.

Your answer is correct.

b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.

negative 0.344−0.344<><>

(Round to three decimal places as needed.)

Does the confidence interval support the conclusion found with the hypothesis test?

(yes or no) because the confidence interval contains (only +, only -, only 0)

Jun 09, 2022

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A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally...

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