Question

Suppose the overhead reach distances of adult males are normally distributed and have the following parameters:...

Suppose the overhead reach distances of adult males are normally distributed and have the following parameters: µ = 233.3 cm and σ = 11.1 cm.

a. If one (1) adult male is randomly selected, find the probability that his overhead reach is greater than 218.4 cm.

b. If thirteen (13) adult males are randomly selected, find the probability that they have a mean overhead reach greater than 241.0 cm.

c. Why can the normal distribution be used in part (b)?

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