A study was done on the 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​...



A study was done on the 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 0.010.01significance level for both parts.

































Men

 Women


μ


μ1


μ2


n


11


59


x overbar



97.67°F




97.22°F



s



0.77°F


0.66°F



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.


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

__________ <μ1 −="" μ2=""><>



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




__________, because the confidence interval contains __________.








Jun 03, 2022
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