Question

Submit Quiz Quiz: Chapter 9 Quiz This Question: 2 pts 12 of 15 (1 complete This Quiz: 30 pts possible A study was done on body temperatures of men and women. The results are shown in the Assume that the two samples are independent simple random samples selected from nomally 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 a. Test the claim that men have a higher mean body temperature than women. What are the nail and alternative hypotheses? H2 ОА не ва H2 oc. Mo: 1992 Hi! OD H2 Click to select your answers).

Answer 1

a)

The Null and Alternative hypothesis is:

Ho: μ1​ = μ2​

Ha: μ1​ > μ2​

The t statistic is:

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97.56 – 97.24 V 0.972 _ 0.692 11 + 59

t = 1.05

p-value is p = 0.158

Significance level ($\alpha$) = 0.05

Since p=0.158 ≥ 0.05, it is concluded that the null hypothesis is not rejected.

Fail to reject the null hypothesis, there is no sufficient evidence to support the claim that men have higher body temperature than women.

b)

CI = | Xı – X2 – tc XV - V ni X – X2 +tcV + na

The 95% confidence interval is −0.347 < μ1​−μ2 ​< 0.987.

Yes, because the confidence interval contains 0.