Answered: 31. The interaction plot does not show…

Math

Statistics

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Experimental Methods - Question 31

The particular question is related to Lean Six Sigma Black Belt (MindPro) covering Experimental Methods.

Please thoroughly understand the relevant image, and accurately confirm whether the mentioned statement is TRUE or FALSE, by, clearly providing a Justification/Working.

31. The interaction plot does not show a reversal of effect.
Two-Factor Two-Levels
Mean
6
5
2
1
Copyright 2005 Dr. Mikel Harry, Ltd.
Experimental Methods
Interaction Plot (data means) for Y
B
SM 19.09C

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You may need to use the appropriate appendix table or technology to answer this question. An agency reports that 11.5% of workers in a particular country belonged to unions. Suppose a sample of 300 workers is collected to determine whether union efforts to organize have increased union membership. (a) Formulate the hypotheses that can be used to determine whether union membership has increased. H0: p = 0.115 Ha: p ≠ 0.115 H0: p > 0.115 Ha: p ≤ 0.115 H0: p ≤ 0.115 Ha: p > 0.115 H0: p ≥ 0.115 Ha: p < 0.115 H0: p < 0.115 Ha: p ≥ 0.115 (b) If the sample results show that 36 of the workers belonged to unions, what is the p-value for your hypothesis test? Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At ? = 0.05, what is your conclusion? Do not reject H0. There is insufficient evidence to conclude that there has been an increase in union…
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