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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 shaped distribution with μ = 40 and σ = 8.

  1. a. A sample of n = 16 scores from this population has a mean of M = 36. Would you describe this as a relatively typical sample, or is the sample mean an extreme value? Explain your answer.
  2. b. If the sample from part a had n = 4 scores, would it be considered typical or extreme?

(a)

To determine

To find: The z-score is extreme value or typical

Explanation

Given info:

The population has mean of μ=40 and σ=8. Also the sample mean M is 36.

Calculation:

Standard error:

σM=σn=816=2

z- score:

z=MμσM

Where, σM=σ

(b)

To determine

To find: The z-score is extreme value or extreme.

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