# 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

### Essentials of Statistics for the B...

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

### Essentials of Statistics for the B...

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

#### Solutions

Chapter
Section
Chapter 8, Problem 18P
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 testb. The size of Cohen’s d.c. The power of a hypothesis test

Expert Solution

a.

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

### Explanation of Solution

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

Expert Solution

b.

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

Expert Solution

c.

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

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