Essentials of Statistics (6th Edition)
6th Edition
ISBN: 9780134685779
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 8, Problem 1CQQ
Distributions Using the methods of this chapter, identify the distribution that should be used for testing a claim about the given population parameter.
a. Mean
b. Proportion
c. Standard deviation
a.
Expert Solution
To determine
To identify: The distribution that is used for testing a claim about given population mean.
Answer to Problem 1CQQ
The distribution that is used for testing a claim about given population mean is the t distribution.
Explanation of Solution
The t test is used for smaller sample sizes and when the population standard deviation is not known. T test is used for testing the mean of the population with the sample or for comparing the differences of means of two samples. The t test consists the t statistic that follows student’s t distribution.
b.
Expert Solution
To determine
To identify: The distribution that is used for testing a claim about given population proportion.
Answer to Problem 1CQQ
The distribution that is used for testing a claim about given population proportion is the normal distribution.
Explanation of Solution
The z test is used for larger sample sizes and when the population standard deviation is known. z test is used for testing the proportion of the population with the sample or for comparing the differences of proportion of two samples. The z test consists the z statistic that follows normal distribution.
c.
Expert Solution
To determine
To identify: The distribution that is used for testing a claim about given population standard deviation.
Answer to Problem 1CQQ
The distribution that is used to test a claim about population standard deviation is
Explanation of Solution
The
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Chapter 8 Solutions
Essentials of Statistics (6th Edition)
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