You wish to test the following claim (Ha) at a significance level of α=0.002. For the context of this problem, μd=μ2−μ1 where 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=3.4 with a standard deviation of the differences of sd=19.2. 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) α   greater than α     This test statistic leads to a decision to... reject the null accept the null fail to reject the null

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You wish to test the following claim (Ha) at a significance level of α=0.002. For the context of this problem, μd=μ2−μ1 where 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=3.4 with a standard deviation of the differences of sd=19.2.

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) α

 

  • greater than α

 

 



This test statistic leads to a decision to...

  • reject the null
  • accept the null
  • fail to reject the null
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