The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0053 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.006. The alternative hypothesis is H,: o 0.006, Calculate the value of the test statistic. Xổ = 21.85 (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer
The piston diameter of a certain hand pump is 0.4 inch. The manager determines that the diameters are normally distributed, with a mean of 0.4 inch and a standard deviation of 0.006 inch. After recalibrating the production machine, the manager randomly selects 29 pistons and determines that the standard deviation is 0.0053 inch. Is there significant evidence for the manager to conclude that the standard deviation has decreased at the a = 0.05 level of significance? What are the correct hypotheses for this test? The null hypothesis is Ho: o 0.006. The alternative hypothesis is H,: o 0.006, Calculate the value of the test statistic. Xổ = 21.85 (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is. (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer. part remaining Clear All Check Answer
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
Expert Solution
Step 1 Introduction:
Test for Population Standard Deviation Chi-Square Test : Chi-Square Test is used to test the significance difference between Population Standard Deviation (Hypothesized value) and Sample Standard Deviation. Then the test statistic is denoted by and it is given by
has a Chi-square distribution with (n-1) degrees of freedom.
where n is Sample size
s is Sample Standard Deviation
is Population Standard Deviation
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.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