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

Question

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 for both parts.

men/ women

u: u1/u2

n: 11/59

x: 97.77/97.24

s: 0.86/0.67

(a) what are the null and alternative hypotheses?

(b) test statistic

(c) P-value

(d) _<u1-u2<_

Explanation / Answer

a)

b)

c)

p-value = 0.0383*2 = 0.0766

At 0.05 significance level, do not reject null hypothesis

d)

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