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In: Statistics and Probability

A study was done on body temperatures of men and women. The results are shown in...

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. Find the t statistic, p-value, and conclusion on if we reject or fail to reject the null hypothesis.

Men Women

Mean Mean 1 Mean 2

N 11 59

x   97.52°F 97.46°F

s   0.82°F 0.64°F

a. Use a 0.05 significance​ level, and test the claim that men have a higher mean body temperature than women.

What are the null and alternative​ hypotheses?

What is the t statistic?

What is the p-value?

What is the conclusion?

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