State the limitation of the z test and name an alternative to the z test that does not have any limitation.
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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Chapter 9 Solutions
Statistics for the Behavioral Sciences
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