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Name: Problems each include a normal probability plot and either a frequency
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Description: Problems each include a normal probability plot and either a frequency histogram or a stem-and-leaf diagram for a set of sample data. The intent is to use the sample data to perform a hypothesis test for the mean of the population from which the data

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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Problems each include a normal probability plot and either a frequency histogram or a stem-and-leaf diagram for a set of sample data. The intent is to use the sample data to perform a hypothesis test for the mean of the population from which the data were obtained. In each case, consult the graphs provided to decide whether to use the z-test, the t-test, or neither. Explain your answer.

The normal probability plot and stem-and-leaf diagram of the data are depicted in Fig. on the next page; σ is unknown.

FIGURE Normal probability plot and stem-and-leaf diagram for Problem 35

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Expert Solution

Step 1

Here, σ isunknown.

For testing population mean:

If sample size is small, the population standard deviation is unknown and the population is normally distributed, then t-test can be used.
If sample size is large, the population standard deviation is known and the population is normally distributed, then z-test can be used.

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