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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

Briefly explain how increasing sample size influences each of the following. Assume that all other factors are held constant.

a. The size of the z-score in a hypothesis test

b. The size of Cohen’s d.

c. The power of a hypothesis test

a.

To determine
The effect of increasing the sample size on a z-score in hypothesis test.

Explanation

Given info:

The sample size increases.

Justification:

If the z-score is increases then that means there is a significant effect and reject the null hypothesis. The z-score is calculated as:

z=MμσM

Where σM is known as standard error and calculated as

σM=σn

b.

To determine
The effect of increasing the sample size on the size of Cohen’s d.

c.

To determine
Whether the power of a hypothesis test influenced with the increase in sample size.

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