In a study of pulse rates of men, a simple random sample of 140 men results in a standard deviation of 11.3 beats per minute. The normal range of pulse rates of adults is typically given as

60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10

significance level to test the claim that pulse rates of men have a standard deviation equal to 10

beats per minute; see the accompanying StatCrunch display for this test. What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60

to 100 beats per minute for estimating in this case? Assume that the simple random sample is selected from a normally distributed population.

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Part 1

Let denote population standard deviation of the pulse rates of men (in beats per minute). Identify the null and alternative hypotheses.

H0:

not equals

equals=

greater than>

less than<

H1:

greater than>

less than<

equals=

not equals

Part 2

Identify the test statistic.

Part 3

Identify the P-value.

Part 4

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

Reject

Accept

Fail to reject

the null hypothesis. There

is not

is

sufficient evidence to

support

warrant rejection of

the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. The results indicate that there

is not

is

significant evidence that using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating

is not

is

effective in this case.