Chapter 9, Problem 10P

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

To evaluate the effect of a treatment, a sample of *n* = 8 is obtained from a population with a mean of
*M* = 35.

a. If the sample variance is *s*^{2} = 32, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with

b. If the sample variance is *s*^{2} = 72, are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with

c. Comparing your answer for parts a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

**a.**

To determine

**To Find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

Explanation

**Given info:**

A sample of 8 individual is selected from a population with mean 40. The sample mean is 35 and variance,

**Calculation:**

Step 1: Null Hypothesis is

Step 2: For a sample of

Step 3: The *t*-statistics can be calculated using formula:

Calculate

**b.**

To determine

**To Find:** Whether or not to conclude that the treatment has a significant effect for the given question using two-tailed test with

**c.**

To determine

**To State :** How does the variability of the scores in sample influence the outcome of a hypothesis test.

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