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Description: In each of Exercises, we have provided a scenario for a hypothesis test for a population mean. Decide whether the z-test is an appropriate method for conducting the hypothesis test. Assume that the population standard deviation is known in each case.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In each of Exercises, we have provided a scenario for a hypothesis test for a population mean. Decide whether the z-test is an appropriate method for conducting the hypothesis test. Assume that the population standard deviation is known in each case.

A normal probability plot of the sample data shows no outliers and is quite linear. The sample size is 12.

Expert Solution

Step 1

Criteria for using the z test:

If the sample size is less than 15 and the variable is approximately normally distributed, then z-test can be used.
If the sample size is in between 15 to 30, the z test can be used if no outlier is present in the data or the variable is normally distributed.
If the sample size is more than 30, then z-test can be used.

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