A simple random sample of 46 men from a normally distributed population results in a standard deviation of 7.7 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 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ<10 beats per minute D. H0: σ=10 beats per minute H1: σ≠10 beats per minute Your answer is correct. Part 2 b. Compute the test statistic. χ2=26.68126.681 (Round to three decimal places as needed.) Part 3 c. Find the P-value. P-value=0.02720.0272 (Round to four decimal places as needed.) Part 4 d. State the conclusion. ▼ Reject Do not reject H0, because the P-value is ▼ greater than less than or equal to the level of significance. There is ▼ insufficient sufficient evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
A simple random sample of 46 men from a normally distributed population results in a standard deviation of 7.7 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 0.05 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Question content area bottom Part 1 a. Identify the null and alternative hypotheses. Choose the correct answer below. A. H0: σ≥10 beats per minute H1: σ<10 beats per minute B. H0: σ≠10 beats per minute H1: σ=10 beats per minute C. H0: σ=10 beats per minute H1: σ<10 beats per minute D. H0: σ=10 beats per minute H1: σ≠10 beats per minute Your answer is correct. Part 2 b. Compute the test statistic. χ2=26.68126.681 (Round to three decimal places as needed.) Part 3 c. Find the P-value. P-value=0.02720.0272 (Round to four decimal places as needed.) Part 4 d. State the conclusion. ▼ Reject Do not reject H0, because the P-value is ▼ greater than less than or equal to the level of significance. There is ▼ insufficient sufficient evidence to warrant rejection of the claim that the standard deviation of men's pulse rates is equal to 10 beats per minute.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A simple random sample of
normally distributed population results in a standard deviation of
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
46
men from a 7.7
beats per minute. The normal 10
beats per minute. Use the sample results with a
0.05
significance level to test the claim that pulse rates of men have a standard deviation equal to
10
beats per minute. Complete parts (a) through (d) below.Question content area bottom
Part 1
a. Identify the null and alternative hypotheses. Choose the correct answer below.
H0: σ≥10
beats per minuteH1: σ<10
beats per minuteH0: σ≠10
beats per minuteH1: σ=10
beats per minuteH0: σ=10
beats per minuteH1: σ<10
beats per minuteH0: σ=10
beats per minuteH1: σ≠10
beats per minutePart 2
b. Compute the test statistic.
χ2=26.68126.681
(Round to three decimal places as needed.)
Part 3
c. Find the P-value.
P-value=0.02720.0272
(Round to four decimal places as needed.)
Part 4
d. State the conclusion.
▼
Reject
Do not reject
H0,
because the P-value is
▼
greater than
less than or equal to
▼
insufficient
sufficient
10
beats per minute. Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman