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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 population forms a normal distribution with a mean of μ. = 80 and a standard deviation of σ = 20.

  1. a. If single score is selected from this population, how much distance would you expect, on average, between the score and the population mean?
  2. b. If a sample of n = 100 scores is selected from this population, how much distance would you expect, on average, between the sample mean and the population mean?

(a)

To determine

To Find: The distance would you expect, on average between the score and the population mean.

Explanation

Given info:

The population forms a normal distribution with a mean of μ=80 and standard deviation of σ=20. The score is n=1.

Calculation:

The problem belongs to the concept of standard error of means. The standard error provides a measure of how much distance is expected on average between a sample mean and the population mean.

The formula for calculating the standard error is,

σM=σ

(b)

To determine

To find: The distance would you expect, on average between the score and the population mean.

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