A study was done on body temperatures of men and women. Theresults are shown in the table. Assume that the two samples areindependent simple random samples selected from normallydistributed? populations, and do not assume that the populationstandard deviations are equal. Complete parts? (a) and? (b) below.Use a 0.01 significance level for both parts.

Men                Women

?         ?1                   ?2

n         11                   59

x         97.78°F          97.25°F

s          0.97°F            0.66°F

a. Test the claim that men have a higher mean body temperaturethan women.

What are the null and alternative? hypotheses?

A. H0?: ?1??2

H1?: ?1

B. H0?: ?1=?2

H1?: ?1??2

C. H0?: ?1=?2

H1?: ?1>?2

D. H0?: ?1??2

H1?: ?1

The test? statistic, t, is _____. ?(Round to two decimal placesas? needed.)

The? P-value is _____. ?(Round to three decimal places as?needed.)

State the conclusion for the test.

A. Reject the null hypothesis. There is not sufficient evidenceto support the claim that men have a higher mean body temperaturethan women.

B. Fail to reject the null hypothesis. There is not sufficientevidence to support the claim that men have a higher mean bodytemperature than women.

C. Reject the null hypothesis. There is sufficient evidence tosupport the claim that men have a higher mean body temperature thanwomen.

D. Fail to reject the null hypothesis. There is sufficientevidence to support the claim that men have a higher mean bodytemperature than women.

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

_____