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Chapter 8: Q1 (page 407)

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

Short Answer

Expert verified

a. Normal Distribution (when 蟽 is known) and Student鈥檚 t distribution (when is unknown)

b.Normal Distribution

c.Chi-square Distribution

Step by step solution

01

Given information

Different claims are to be tested for different population parameters, and thus, different probability distributions are applied.

02

Testing a claim about the population mean

a.

If a claim about the population mean is to be tested, two distributions can be utilized:

Normal distribution

Student鈥檚 t distribution

A test statistic following the normal distribution is used to test the claim about the population mean when the population standard deviation is known.

A test statistic following the student鈥檚 t-distribution is used to test the claim about the population mean when the population standard deviation is unknown.

03

Testing a claim about the population proportion

b.

If a claim about the population proportion is to be tested, thenormal distribution is applied.

04

Testing a claim about the population standard deviation

c.

If a claim about the population standard deviation is to be tested, thechi-square distribution is applied.

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