Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 2.6 (to 2 decimal places)

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Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the
height of a man with a z-score of 2.6 (to 2 decimal places)
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Transcribed Image Text:Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the height of a man with a z-score of 2.6 (to 2 decimal places) Add Work
Expert Solution
Step 1

The normal distribution is the most useful theoretical distribution for continuous variable. 

For the normal distribution,

Mean = μ and

Standard deviation = σ, symbolically we write.

The formula for z-score is,

z = x-μσ

were,

x: Random variable

μ: Population mean

σ: Population standard deviation

Given,

μ = 69.0σ = 2.8z = 2.6

 

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