For a population with a mean of μ = 72 and a standard deviation of σ = 8, find the z-score corresponding to the sample mean M= 80 and sample size n = 22 scores.

Respuesta :

The z score corresponding to the sample is -6.25

z-score of a population

The formula for calculating the z-score is expressed as

z = x- μ/σ

Given the following parameters

x = 22 (sample size)

Mean  μ = 72

standard deviation σ = 8

Substitute

z = 22-72/8

z = -50/8

z = -6.25

Hence the z score corresponding to the sample is -6.25

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