women (measured in beats per minute),n=143 and s=13.0.
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 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 σ in this case?
Assume that the simple random sample is selected from a normally
distributed population.
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- For A Simple Random Sample Of Pulse Rates Of Women Measured In Beats Per Minute N 143 And S 13 0 The Normal Range O 1 (90.18 KiB) Viewed 22 times
Part 1
Let
σ
denote population standard deviation of the pulse rates of
women (in beats per minute). Identify the null and
alternative hypotheses.
H0:
σ
▼
equals=
greater than>
not equals≠
less than<
enter your response here
H1:
σ
▼
equals=
greater than>
less than<
not equals≠
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
Reject
Accept
the null hypothesis. There
▼
is
is not
sufficient evidence to
▼
warrant rejection of
support
the claim that pulse rates of women 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
σ
▼
is not
is
effective in this case.
4 Test Standard Deviation Hypothesized Value 10 Actual Estimate 13.0291 DF 142 Test Chi Square Test Statistic 241.0550 Min PValue <.0001 Prob <Chisq 1.0000 Prob > Chisa <.0001 * *