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Essentials of Statistics for the B...

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

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BuyFindarrow_forward

Essentials of Statistics for the B...

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

For a population with a mean of μ = 80 and a standard deviation of σ = 12, find the z-score corresponding to each of the following samples.

  • a. M = 83 for a sample of n = 4 scores
  • b. M = 83 for a sample of n = 16 scores
  • c. M = 83 for a sample of n = 36 scores

a.

To determine

The z-score for given sample.

Explanation

Given info:

The numbers of scores in each sample are n=4, the population mean is μ=80, the population standard deviation is σ=12 and the sample mean is M=83.

Calculation:

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

μ=80σ=12n=4M=83

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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