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Suppose that South Carolina elementary school teacher salaries have a distribution that is skewed right with a mean of $27,000 and a standard deviation of $2,000. Suppose someone took a random sample of 40 elementary school teachers salaries and found the sample mean.

Required:
What is the standard deviation of the sampling distribution of the sample mean for all samples of size 40?

Respuesta :

raphealnwobi

The standard deviation of the sampling distribution of the sample mean for all samples of size 40 is $316.2

What is z score?

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean = $27000, Standard deviation = $2000. For a sample of 40:

Mean = $27000

Standard deviation = 2000/√40 = 316.2

The standard deviation of the sampling distribution of the sample mean for all samples of size 40 is $316.2

Find out more on z score at: https://brainly.com/question/25638875

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