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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

Two separate samples, each with n = 15 individuals receive different treatments. After treatment, the first sample has SS = 1740 and the second has SS = 1620.

a. Find the pooled variance for the two samples.

b. Compute the estimated standard error for the sample mean difference.

c. If the sample mean difference is 8 points, is this enough to reject the null hypothesis and conclude that there is a significant difference for a two-tailed test at the .05 level?

a.

To determine

To Find: The pooled variance for the two samples given in the question.

Explanation

Given info:

Two samples each with size 15 each have sum of squared difference (SS) equal 1740 and 1620 respectively.

Calculations:

The degree of freedom for two samples is calculated as:

df1=df2=n1............(n1=n2=n)=151=14

So, the pooled variance, sp2, is calculated using formula:

sp2=SS1

b.

To determine

To Find: The estimated standard error for the sample mean difference.

c.

To determine

To check: Whether there is a significant mean difference for a two-tailed test at α=0.05.

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