Chapter 7, Problem 13P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

The population of IQ scores forms a normal distribution with a mean of μ = 100 and a standard deviation of σ = 15. What is the probability of obtaining a sample mean greater than *M* = 97.

- a. for a random sample of
*n*= 9 people? - b. for a random sample of
*n*= 25 people?

**a.**

To determine

**To dtermine:** The probability of obtaining a sample mean greater than

Explanation

**Given info:**

Numbers of people in a random sample are

**Calculation:**

If
*n* represents numbers of scores in each sample. Let *M* represents given sample mean. Then,

Let

Let *p* represents the probability that random mean is greater than

**b.**

To determine

The probability of obtaining a sample mean greater than
M = 97 for given sample.

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