You wish to test the following claim (HaHa) at a significance level of =0.005. F

Question

You wish to test the following claim (HaHa) at a significance level of =0.005. For the context of this problem, d=21 where the first data set represents a pre-test and the second data set represents a post-test.

      Ho:d=0
      Ha:d>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=17 subjects. The average difference (post - pre) is ¯d=38.3 with a standard deviation of the differences of sd=49.3.

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)

greater than

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 greater than 0.

There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.

The sample data support the claim that the mean difference of post-test from pre-test is greater than 0.

There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0.

You wish to test the following claim H set represents a post-test. at a significance level of 0.005 For the context of this problem where the first data set represents a pr test and the second data 17 subjects. The 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 average difference (post-pre) is d 38.3 with a standard deviation of the differences of 8d-493. 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) greater than This test statistic leads to a decision to... reject the null accept the null fail to reject the nul 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 greater than 0. There is not sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0 The sample data support the claim that the mean difference of post-test from pre-test is greater than 0 There is not sufficient sample evidence to support the claim that the mean difference of post-test from pre-test is greater than 0

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =49.3/(17)1/2 =11.957

therefore test statistic t=d/std error =38.3/11.957=3.203

for (n-1=16) degree of freedom and right tailed test p value =0.0028

The p-value is less than

This test statistic leads to a decision to reject the null

There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0.

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