For a simple random sample of pulse rates of women (measured in beats per minute),

nequals=138

and

sequals=12.7

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

0.01

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

10

beats per minute; see the accompanying JMP display that results from using the original list of pulse rates instead of the summary statistics. (Hint: The bottom three rows of the display provide P-values for a two-tailed test, a left-tailed test, and a right-tailed test,

respectively.)

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

sigma

in this case?

Assume

that the simple random sample is selected from a normally distributed population.

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Question content area bottom

Part 1

Let

sigma

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

Upper H 0H0:

sigma

greater than>

equals=

not equals

less than<

enter your response here

Upper H 1H1:

sigma

less than<

equals=

not equals

greater than>

enter your response here

(Type integers or decimals. Do not round.)

Part 2

Identify the test statistic.

enter your response here

(Round to two decimal places as needed.)

Part 3

Identify the P-value.

enter your response here

(Round to three decimal places as needed.)

Part 4

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

Fail to reject

Accept

Reject

the null hypothesis. There

is

is not

sufficient evidence to

support

warrant rejection of

the claim that pulse rates of women have a standard deviation equal to

1010

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

sigma

is not

is

effective in this case.