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 ▼   less than< equals= greater 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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Question
For a simple random sample of pulse rates of women​ (measured in beats per​ minute),
n=144
and
s=13.9.
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
σ
in this​ case?
Assume
that the simple random sample is selected from a normally distributed population.
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Click the icon to view the JMP display.
 
 
 

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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
 
less than<
equals=
greater 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.
 
 
Reject
Fail to reject
Accept
the null hypothesis. There
 
is not
is
sufficient evidence to
 
support
warrant rejection of
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
is not
effective in this case.
 
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