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Essentials of Statistics for the B...

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

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Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

A random sample is obtained from a normal population with a mean of μ = 95 and a standard deviation of σ = 40. The sample mean is M = 86.

  1. a. Is this a representative sample mean or an extreme value for a sample of n = 16 scores?
  2. b. Is this a representative sample mean or an extreme value for a sample of n = 100 scores?

a.

To determine
The sample mean is a representative value or extreme value for a sample of n=16 scores.

Explanation

Given info:

Population mean is μ=95

Standard deviation is σ=40.

Sample mean is M=86.

Sample size is n=16 scores.

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, z-score is given by:

z=(Mμ)σn

Consider μ=95, σ=40, n=16 and M=86

b.

To determine
Sample mean is a representative value or extreme value for a sample of n=100 scores.

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