Chapter 8: Q. 9.21 (page 358)

9.21 Body Temperature. A study by researchers at the University of Maryland addressed the question of whether the mean body temperature of humans is 98.6°F. The results of the study by P. Mack owiak et al. appeared in the article "A Critical Appraisal of 98.6°F .
cies of Carl Reinhold August Wunderlich" (Journal of the American Medical Association, Vol. 268, pp. 1578-1580). Among other data. the researchers obtained the body temperatures of 93 healthy humans. Suppose that you want to use those data to decide whether the mean body temperature of healthy humans differs from 98.6⁰F.

Short Answer

Expert verified

Because the alternative hypothesis test is to determine whether the mean body temperature of 93 healthy persons is different from $98.6 ° F$ (or not equal (#) sign occurs in the alternative hypothesis), this hypothesis test is a two-failed test.

Step by step solution

Step 1. Given information.

Among other things the temperatures of 93 healthy people were gathered by the researchers.

Part (a) Step 2. Explanation

The null hypothesis states that the average body temperature of 93 healthy people is the same as. $98.6 ° F$

i.e., $H_{0} : μ = 98.6 ° F$ .

Step 3. Alternative hypothesis

The alternative theory is that the average body temperature of 93 healthy persons differs from the average body temperature of 93 healthy humans by $98.6 ° F$

i.e., $H_{0} : μ 98.6 ° F .$

Step 4. Two-tailed test

Because another hypothesis test determines whether the body temperature of 93 healthy people differs from 98.6 ° F (or an unequal sign (#) occurs in another theory), this hypothesis test is a double failure test.