Assume that the population is normally distributed and that the sample has been randomly selected and test the given claim. 4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses.. 62.13 65.09 64.18 66.72 63.09 61.15 67.50 64.65 63.80 64.21 60.17 68.28 66.49 62.10 65.73 64.72 (a) Set up the null hypothesis and alternative hypothesis and indicate the claim. (b) Calculate the test statistic. Round to three decimal places. (c) Find the critical value(s). Draw a sketch of the distribution curve and indicate the significance level and the critical value(s) on the graph.
Assume that the population is normally distributed and that the sample has been randomly selected and test the given claim. 4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses.. 62.13 65.09 64.18 66.72 63.09 61.15 67.50 64.65 63.80 64.21 60.17 68.28 66.49 62.10 65.73 64.72 (a) Set up the null hypothesis and alternative hypothesis and indicate the claim. (b) Calculate the test statistic. Round to three decimal places. (c) Find the critical value(s). Draw a sketch of the distribution curve and indicate the significance level and the critical value(s) on the graph.
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

Transcribed Image Text:**Problem Statement:**
Assume that the population is normally distributed and that the sample has been randomly selected to test the given claim.
4) Heights of men aged 25 to 34 have a standard deviation of 2.9. Use a 0.05 significance level to test the claim that the heights of women aged 25 to 34 have a different standard deviation. The heights (in inches) of 16 randomly selected women aged 25 to 34 are listed below. Use the traditional method of testing hypotheses.
**Data:**
62.13, 65.09, 64.18, 66.72, 63.09, 61.15, 67.50, 64.65
63.80, 64.21, 60.17, 68.28, 66.49, 62.10, 65.73, 64.72
**Tasks:**
(a) **Set up the null hypothesis and alternative hypothesis and indicate the claim.**
(b) **Calculate the test statistic.** Round to three decimal places.
(c) **Find the critical value(s).** Draw a sketch of the distribution curve and indicate the significance level and the critical value(s) on the graph.
(d) **Make a decision about the null hypothesis.** Be sure to explain how you make the decision.
(e) **Draw a conclusion about the original claim.**
**Instructions for the Diagram:**
(c) When drawing a sketch of the distribution curve:
- Label the x-axis with the distribution of the test statistic.
- Mark the critical value(s) according to the significance level (0.05).
- Shade the area representing the rejection region(s).
- Indicate the critical value(s) on the curve.
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 3 steps with 3 images

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