Chapter 9.2, Problem 1LC

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8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A sample of *n =* 4 individuals is selected from a population with a mean of
*M* = 44 and a variance of s^{2} = 16.

a. Is this sample sufficient to conclude that the treatment has a significant effect? Use a two-tailed test with
* =* .05.

b. If all other factors are held constant and the sample size is increased to *n* = 16, is the sample sufficient to conclude that the treatment has a significant effect? Again, use a two-tailed test with

**a.**

To determine

**To test:** Whether there is any sufficient evidence to infer that the treatment has a significant effect.

Explanation

**Given info:**

A sample of 4 individual is selected from a population with mean 40. The sample mean and variance are 44 and 16 respectively. The two-tailed hypothesis test using

**Calculations:**

*The test hypothesis is given below:*

*Null Hypothesis:*

*Alternative Hypothesis:*

*Degrees of freedom:*

*Critical value:*

For a two-tailed test with

*Test statistic:*

The *t*-statistic is,

Calculate

**b.**

To determine

**To find:** Whether there is any sufficient evidence to infer that the treatment has a significant effect.

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