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Section 9.2 Homework
4. 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.
Use a 0.05 significance level to test the claim that men have a higher mean body temperature than women.
What are the null and alternative hypotheses?
The test statistic, t, is
The P-value is
State the conclusion for the test.
- Reject the null hypothesis. There is 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.
- Fail to reject the null hypothesis. There is 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.
Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.
Does the confidence interval support the conclusion found with the hypothesis test?
_____ because the confidence interval contains ______