Question

The heights of basketball players have an approximate normal distribution with mean, µ = 79 inches...

The heights of basketball players have an approximate normal distribution with mean, µ = 79 inches and a standard deviation, σ = 3.89 inches. For each of the following heights, calculate the z-score and interpret it using complete sentences:

a) 74 inches                  b) 87 inches                   c) 77 inches                   d) 60 inches

e) Explain, using statistical language, why the basketball player’s recorded height in part d) above is likely an outlier.

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