Chapter 7, Problem 10P

### Essentials of Statistics for the B...

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

Chapter
Section

### Essentials of Statistics for the B...

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

# A sample of n = 4 scores has a mean of M = 75.Find the z-score for this sample:a. If it was obtained from a population with μ = 80 and σ = 10.b. If it was obtained from a population with μ. = 80 and σ = 20.c. If it was obtained from a population with μ. = 80 and σ = 40.

a.

To determine
The z-score for given sample.

Explanation

Given info:

The number of score is n=4, the population mean is μ=80, the population standard deviation is σ=10 and the sample mean is M=75.

Calculation:

If μ and σ represents the population mean and standard deviation respectively. Let n represents numbers of scores in each sample. Let M represents sample mean. Then,

μ=80σ=10n=4M=75

The z-score corresponding to the sample mean is given by:

z=(

b.

To determine
The z-score for given sample.

c.

To determine
The z-score for given sample.

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