Statistics for the Behavioral Sciences
Statistics for the Behavioral Sciences
2nd Edition
ISBN: 9781452286907
Author: Gregory J. Privitera
Publisher: SAGE Publications, Inc
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Chapter 9, Problem 1FP
To determine

State the limitation of the z test and name an alternative to the z test that does not have any limitation.

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Answer to Problem 1FP

The limitation of the z test is that population variance should be known.

The t test is used as an alternative for z test that does not have any limitation.

Explanation of Solution

Justification: The main limitation of the z test is that the population variance should be known. If there is not information about the population variance the z test cannot be used.

The t test is similar to the z test. In t test sample variance is replaced with population variance for estimating the standard error. When the population standard deviation is not known t test is used in place of z test.

Hence, the t test is used as an alternative for z test when the population variance is unknown.

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