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Essentials of Statistics for the B...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

A population has a standard deviation of σ = 24.

  1. a. On average, how much difference should exist between the population mean and the sample mean for n = 4 scores randomly selected from the population?
  2. b. On average, how much difference should exist for a sample of n = 9 scores?
  3. c. On average, how much difference should exist for a sample of n = 16 scores?

a.

To determine
Average difference between the sample mean and population mean for a random sample of n=4 scores.

Explanation

Given info:

Population standard deviation is σ=24 and the sample size is n=4.

Calculation:

Let σ and n represents the population standard deviation and number of scores in the sample. Then,

σ=24n=4

Standard error measures the distance expected on an average between sample means and population mean

b.

To determine
Average difference between the sample mean and population mean for a random sample of n=9 scores.

c.

To determine
Average difference between the sample mean and population mean for a random sample of n=16 scores.

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