In: Statistics and Probability
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
0.01 significance level for both parts. What are the null and alternative hypotheses? The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. |
Men |
Women |
|||
---|---|---|---|---|---|
muμ |
mu 1μ1 |
mu 2μ2 |
|||
n |
11 |
59 |
|||
x overbarx |
97.76degrees°F |
97.38degrees°F |
|||
s |
0.81degrees°F |
0.68degrees°F |