Chapter 7.2, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A population has a mean of μ = 65 and a standard deviation of σ = 16.

**a.**Describe the distribution of sample means (shape, central tendency, and variability) for samples of size*n*= 4 selected from this population.**b.**Describe the distribution of sample means (shape, central tendency, and variability) for samples of size*n*= 64 selected from this population.

**(a)**

To determine

**To find:** The distribution of the sample means for samples of size

Explanation

**Given info:**

The population has a normal distribution with a mean of

**Calculation:**

The problem belongs to the concept of sampling distribution. The sample mean of the sampling distribution is the point estimate of the population mean and the standard error provides a measure of how much distance is expected on average between a sample mean and the population mean.

The formula for sample mean of the sampling distribution is,

The formula for standard deviation of the sampling distribution is,

The sample mean of the sampling distribution is,

**(b)**

To determine

**To find:** The distribution of the sample means for samples of size

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