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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 σ is known) and Student’s 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’s 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’s 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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Most popular questions from this chapter

Technology. In Exercises 9–12, test the given claim by using the display provided from technology. Use a 0.05 significance level. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

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b. What is the test statistic?

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