#9.

Assume that human body temperatures are normally distributedwith a mean of 98.23 °F and a standard deviation of 0.63 °F.

1. A hospital uses 100.6 °F as the lowest temperature consideredto be a fever. What percentage of normal and healthy persons wouldbe considered to have a​ fever? Does this percentage suggest that acutoff of 100.6 °F is​ appropriate?

2. Physicians want to select a minimum temperature for requiringfurther medical tests. What should that temperature​ be, if we wantonly​ 5.0% of healthy people to exceed​ it? (Such a result is afalse​ positive, meaning that the test result is​ positive, but thesubject is not really​ sick.)

a. The percentage of normal and healthy persons considered tohave a fever is __

a1. Does this percentage suggest that a cutoff of 100.6 °F is​appropriate?

b. The minimum temperature for requiring further medical testsshould be __ if we want only​ 5.0% of healthy people to exceedit.

#8

A survey found that​ women's heights are normally distributedwith mean 63.4 in and standard deviation 2.4 in. A branch of themilitary requires​ women's heights to be between 58 in and 80in.

a. Find the percentage of women meeting the height requirement.Are many women being denied the opportunity to join this branch ofthe military because they are too short or too​ tall?

b. If this branch of the military changes the heightrequirements so that all women are eligible except the shortest​ 1%and the tallest​ 2%, what are the new height​ requirements?