Consider the test           ?0:????−????=3H0:μnew−μold=3   vs.  ?0:????−????<3H0:μnew−μold<3  What is the p-value?       (Hint:  best to use software, or else the Desmos Calculator for the 2 sample T and Z test)  Give as a decimal between 0 and 1 accurate to at least 4 decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A new material will replace the old material unless there is significant evidence that the mean strength of the new material is not more than 3 units higher than the mean strength of the old material.     

 

Sample from new material:     mean  is  106.122   ,     SD  is   4.7     and sample size is 14

Sample from old material:       mean  is  106.449   ,     SD  is   6      and sample size is 60

We do not know population standard deviations.

Consider the test

          ?0:????−????=3H0:μnew−μold=3   vs.  ?0:????−????<3H0:μnew−μold<3 

What is the p-value?       (Hint:  best to use software, or else the Desmos Calculator for the 2 sample T and Z test)

 Give as a decimal between 0 and 1 accurate to at least 4 decimal places.

 

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