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Chapter 8: Q8 (page 371)

Identifying H0and H1. In Exercises 5–8, do the following:

a. Express the original claim in symbolic form.

b. Identify the null and alternative hypotheses.

Pulse Rates Claim: The standard deviation of pulse rates of adult males is more than 11 bpm. For the random sample of 153 adult males in Data Set 1 “Body Data” in Appendix B, the pulse rates have a standard deviation of 11.3 bpm.

Short Answer

Expert verified

a. The original claim in symbolic form is written in the following manner:

σ>11bpm

b. The null hypothesis and the alternative hypothesis are as follows:

H0:σ=11

H1:σ>11

Step by step solution

01

Given information

For a sample of 153 adult males, the pulse rate has a standard deviation, which is equal to 11.3 bpm.

02

Original claim

a.

It is claimed that the standard deviation of the pulse rate of adult males is more than 11 bpm.

Symbolically, the claim would be σ>11bpm, where σis the standard deviation of the pulse rate of all adult males.

03

Hypotheses

b.

Null hypothesis: The standard deviation of the pulse rate of adult males is equal to 11 bpm.

H0:σ=11

Alternative hypothesis: The standard deviation of the pulse rate of adult males is more than 11 bpm.

H1:σ>11

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Most popular questions from this chapter

Final Conclusions. In Exercises 25–28, use a significance level of α = 0.05 and use the given information for the following:

a. State a conclusion about the null hypothesis. (Reject H0or fail to reject H0.)

b. Without using technical terms or symbols, state a final conclusion that addresses the original claim.

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