Question

#9.

Assume that human body temperatures are normally distributed with 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 considered to be a fever. What percentage of normal and healthy persons would be considered to have a​ fever? Does this percentage suggest that a cutoff of 100.6 °F is​ appropriate?

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

a. The percentage of normal and healthy persons considered to have 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 tests should be __ if we want only​ 5.0% of healthy people to exceed it.

#8

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

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

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

Answer 1

Please post 9th question separately