a. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: o= 10 beats per minute H,:o< 10 beats per minute O B. H,: o 10 beats per minute H,: o = 10 beats per minute O C. Ho: o2 10 beats per minute H1:0<10 beats per minute 'D. Ho: o = 10 beats per minute H1:0 10 beats per minute b. Compute the test statistic. (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Compute the test statistic.

Find the​ P-value.

State the conclusion.

A simple random sample of 36 men from a normally distributed population results in a standard deviation of 7.4 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 (b) below.

a. Identify the null and alternative hypotheses. Choose the correct answer below:

- A. \( H_0: \sigma = 10 \text{ beats per minute} \)
      \( H_1: \sigma < 10 \text{ beats per minute} \)

- B. \( H_0: \sigma \neq 10 \text{ beats per minute} \)
      \( H_1: \sigma = 10 \text{ beats per minute} \)

- C. \( H_0: \sigma \geq 10 \text{ beats per minute} \)
      \( H_1: \sigma < 10 \text{ beats per minute} \)

- D. \( H_0: \sigma = 10 \text{ beats per minute} \)
      \( H_1: \sigma \neq 10 \text{ beats per minute} \)

Selection: C (indicated by a checkmark)

b. Compute the test statistic. 

\( \chi^2 = \) ____ 

(Round to three decimal places as needed.)
Transcribed Image Text:A simple random sample of 36 men from a normally distributed population results in a standard deviation of 7.4 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 (b) below. a. Identify the null and alternative hypotheses. Choose the correct answer below: - A. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - B. \( H_0: \sigma \neq 10 \text{ beats per minute} \) \( H_1: \sigma = 10 \text{ beats per minute} \) - C. \( H_0: \sigma \geq 10 \text{ beats per minute} \) \( H_1: \sigma < 10 \text{ beats per minute} \) - D. \( H_0: \sigma = 10 \text{ beats per minute} \) \( H_1: \sigma \neq 10 \text{ beats per minute} \) Selection: C (indicated by a checkmark) b. Compute the test statistic. \( \chi^2 = \) ____ (Round to three decimal places as needed.)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
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 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…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
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
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman