Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the Z-Score of a man 66.3 inches tall. (to 2 decimal places)

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Adult men have heights with a mean of 69.0 inches and a standard deviatlon of 2.8 inches. Find the
Z-score of a man 66.3 inches tall. (to 2 decimal places)
Transcribed Image Text:Adult men have heights with a mean of 69.0 inches and a standard deviatlon of 2.8 inches. Find the Z-score of a man 66.3 inches tall. (to 2 decimal places)
Expert Solution
Step 1

Given Information:

Mean μ=69.0 inches

Standard deviation σ=2.8 inches.

To find the z-score of a man 66.3 inches tall:

 

Z-score is a measure which tells how many standard deviations away, a data value is, from the mean. It is given by the formula:

z=X-μσ

Here, X = 66.3

 

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