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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 random rumple of n = 25 individuals is selected from a population with μ = 20, and a treatment is administered to each individual in the sample. After treatment, the sample mean is found to be M = 22.2 with SS = 384.

a. How much difference is there between the mean for the treated sample and the mean for the original population? (Note: In a hypothesis test, this value forms the numerator of the t statistic.)

b. If there is no treatment effect, how, much difference is expected between the sample mean and its population mean? That is, find the standard error for M. (Note: In a hypothesis test, this value is the denominator of the t statistic.)

c. Based on the sample data, does the treatment have a significant effect? Use a two-tailed test with α = .05.

a.

To determine

To find: The difference between the mean for the treated sample and the mean for the original population for the given question

Explanation

Given info:

A sample of 25 individuals is selected from a population with mean 20. The sample mean and sum of squared difference (SS) is found to be 22.2 and 384 respectively.

Calculation:

The difference can be calculated using formula:

...

b.

To determine

To find: The standard error for mean.

c.

To determine

To find: Whether or not the treatment has significant effect at α=0.05.

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