MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=μ2−μ1μd=μ2-μ1 where the first data set represents a pre-test and the second data set represents a post-test.

      Ho:μd=0Ho:μd=0
      Ha:μd<0Ha:μd<0

You believe the population of difference scores is normally distributed, but you do not know the standard deviation. You obtain pre-test and post-test samples for n=217n=217 subjects. The average difference (post - pre) is ¯d=−3.2d¯=-3.2 with a standard deviation of the differences of sd=36.8sd=36.8.

What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic = 

What is the p-value for this sample? (Report answer accurate to four decimal places.)
p-value = 

The p-value is...
  • less than (or equal to) αα
  • greater than αα


This test statistic leads to a decision to...
  • reject the null
  • accept the null
  • fail to reject the null


As such, the final conclusion is that...
  • There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
  • There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is less than 0.
  • The sample data support the claim that the mean difference of post-test from pre-test is less than 0.
  • There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is less than 0.
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