wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. For the context of this problem, μd=PostTest−PreTestμd=PostTest-PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1μ1 and μ2μ2 are so that the differences are computed correctly.)       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 the following sample of data: pre-test post-test 35 33 37 32 43 49 52 51 45 41 36 46   What is the test statistic for this sample? test statistic =  (Report answer accurate to 2 decimal places.) What is the p-value for this sample? p-value =  (Report answer accurate to 4 decimal places.)   The p-value is... (pick one) less than (or equal to) αα greater than αα This test statistic leads to a decision to... (pick one) reject the null accept the null fail to reject the null   As such, the final conclusion is that... (pick one) 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 equa

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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=PostTest−PreTestμd=PostTest-PreTest where the first data set represents a pre-test and the second data set represents a post-test. (Each row represents the pre and post test scores for an individual. Be careful when you enter your data and specify what your μ1μ1 and μ2μ2 are so that the differences are computed correctly.)

      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 the following sample of data:

pre-test post-test
35 33
37 32
43 49
52 51
45 41
36 46

 

What is the test statistic for this sample?
test statistic =  (Report answer accurate to 2 decimal places.)

What is the p-value for this sample?
p-value =  (Report answer accurate to 4 decimal places.)

 

The p-value is... (pick one)

  • less than (or equal to) αα
  • greater than αα



This test statistic leads to a decision to... (pick one)

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

 

As such, the final conclusion is that... (pick one)

  • 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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