Problem 9BSC

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 between 179.7 cm and 231.3 cm.

b. If 40 adult females are randomly selected, find the probability that they have a mean overhead reach between 204.0 cm and 206.0 cm.

Solution 9BSC

- If 1 adult female is randomly selected, the probability of her overhead reach is between 179.7 cm and 231.3 cm is 0.9974.
- If 40 adult female is randomly selected, the probability that they have mean overhead reach is between 204.0 cm and 206.0 cm is 0.5086.