You wish to test the following claim (HaHa) at a significance level of α=0.005. For the context of this problem, μd=μ2−μ1where the first data set represents a pre-test and the second data set represents a post-test. Ho:μd=0  Ha: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=38  subjects. The average difference (post - pre) is ¯d=−1.8d with a standard deviation of the differences of sd=12.3    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 not equal to 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0. The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0. There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You wish to test the following claim (HaHa) at a significance level of α=0.005. For the context of this problem, μd=μ2−μ1where the first data set represents a pre-test and the second data set represents a post-test.

Ho:μd=0
 Ha: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=38  subjects. The average difference (post - pre) is ¯d=−1.8d with a standard deviation of the differences of sd=12.3 

 

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 not equal to 0.
  • There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is not equal to 0.
  • The sample data support the claim that the mean difference of post-test from pre-test is not equal to 0.
  • There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is not equal to 0.
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