Chapter 7, Problem 16P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A population of scores forms a normal distribution with a mean of μ = 80 and a standard deviation of σ = 10.

**a.**What proportion of the scores have values between 75 and 85?**b.**For samples of*n*= 4, what proportion of the samples will have means between 75 and 85?**c.**For samples of*n*= 16, what proportion of the samples will have means between 75 and 85?

**(a)**

To determine

**To find:** The proportion of scores has values between 75 and 85.

Explanation

**Given info:**

The random variable X denote the scores follow normal distribution with a mean of

**Calculation:**

*z-score:*

Substitute the values in the above formula is as follows:

*The probability of specified z-values using the Excel formula:*

**(b)**

To determine

**To find:** The proportion of samples will have means between 75 and 85.

**(c)**

To determine

**To find:** The proportion of samples will have means between 75 and 85.

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