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

Question:

a. If 1 adult female is randomly selected, find the probability that her overhead reach is greater than 218.4 cm.
b. If 9 adult females are randomly selected, find the probability that they have a mean overhead reach greater than 204.0 cm.
c. Why can the normal be used in part (b), even though the sample size does not exceed 30?
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.
Distribution
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