Question

Is the mean body temperature of humans different from 98.6degrees°​F?After randomly sampling 105 adults and determining their body​ temperature, a researcher found a​ 95% confidence interval for the mean body temperature of adult humans as (98.0degrees°​F, 98.4degrees°​F).What conclusion can be made based on this confidence​ interval?

Choose the correct answer below.

A.There is no evidence at a​ 5% significance level to say that the mean body temperature of adult humans is different from 98.6degrees°F.

B.There is evidence at a​ 5% significance level to say that the mean body temperature of adult humans is different from

98.6degrees°F.

C.There is evidence at a​ 5% significance level to say that the mean body temperature of adult humans is 98.6degrees°F.

D.We can be sure that the mean body temperature of adult humans is different from 98.6degrees°F.

Answer 1

Correct option : B. There is evidence at a​ 5% significance level to say that the mean body temperature of adult humans is different from 98.6 degrees°F.

Reason :  If the value specified by the null hypothesis is not in the interval then the null hypothesis can be rejected at the 0.05 level.

98.6 degrees F is not in the 95 % confidence interval , hence, it can be concluded that the mean body temperature of adult humans is different from 98.6 degrees°F.