Using the Central Limit Theorem. In Exercises use this information about the overhead reach distances of adult females:μ = 205.5 cm,σ = 8.6 cm, and overhead reach distances are normally distributed (based on data from the Federal Aviation Administration). The overhead reach distances are used in planning assembly work stations.

a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 195.0 cm.

b. If 25 adult females are randomly selected, find the probability that they have a mean overhead reach greater than 203.0 cm.

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

Solution 8BSC

If 1 adult female is randomly selected, the probability that her overhead reach is greater than 195.0 cm is 0.8889.If 25 adult female is randomly selected, the probability that her overhead reach is greater than...