   Chapter 7.3, Problem 2LC Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

What is the probability of obtaining a sample mean greater than M = 60 for a random sample of n = 16 scores selected from a normal population with a mean of μ = 65 and a standard deviation of σ = 20?

To determine

To find: The probability of obtaining a sample mean greater than M=60.

Explanation

Given info:

The sample is selected from a population with a mean of μ=65 and standard deviation of σ=20. The sample size is n=16. The sample mean is M=60.

Calculation:

The formula for calculating the z-score:

z=MμσM

Where, σM=σn

Substitute the values in the above formula is as follows:

z=60652016=1

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