2 A shudy was dane on hodty temperaturas of man andwomen The results are shown i

Question

2 A shudy was dane on hodty temperaturas of man andwomen The results are shown in the table Assume that the two samples ara indapendent simpla random samplas selechad from normally distrihuad populations, and do not assume that he population standard deviations are equal Camp ele parts a and b below Use ? 0.05 significance level or buth parts 97.63°F 0.82 97 480F 0.62 a. Test the cleim thet men have a higher meen body tempereture than women. What are the nul and aternaivc hypotheses? The test statistic. t, is 58 (Round to two decimal places as needed.) The P-value is 0.28 Round to three decimal places as needed.) State the conclusion fur the te A. Fail to rejec the nul hypothesis. There is nol sulficient evidence o suppot the am hat men ave a hige mean body temperalurethan women. ? B Relect the null hypothesis. There is nol sufficlent evidence 10 support Ihe claim that men have a higher mean body temperature 1han women ? ?. Fail tn re er the nul hypothesis. There is sufficient nvidenc o support hn daim that men have a hioher mean body tempera turn han women ?D. Reject the rull hypothesis. There is sufficient evidence to support the deim that men have 8 higher mean body tempeiature than wrren b. Cunetruct a corfiderice intercal suilable for testiny Uhe claim thal ren have a higher meari body temperalure thari woe Round lo ee decinal places as needed.)

Explanation / Answer

The statistical software output for this problem is:

Two sample T summary confidence interval:
?1 : Mean of Population 1
?2 : Mean of Population 2
?1 - ?2 : Difference between two means
(with pooled variances)

95% confidence interval results:

Hence,

95% confidence interval will be:

-0.278 < ?1 - ?2 < 0.578

Difference Sample Diff. Std. Err. DF L. Limit U. Limit ?1 - ?2 0.15 0.21454329 68 -0.27811447 0.57811447

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