You wish to test the following claim (Ha) at a significance level of a = 0.02. d denotes the mean of the difference between pre-test and post-test scores. Ho: Pd=0 Ha: d> 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: post-test pre-test 62.5 62.8 80.6 56.9 32.1 53.6 37.4 37.9 54.8 42.8 46.7 37.4 54.4 38.9 73.7 34.1 47.9 28.9 49.4 44.4 18.2 59.1 47.1 72.3 42.7 55.1 59.2 36.3 test statistic - 59.8 39.6 43.6 43.3 99.4 49.5 65.6 29.1 49 44.3 31.6 80.3 67.7 81 Make sure to choose the appropriate column for Sample 1 and 2 so that you are estimating the improved post-test score: pre-test post-test, 2-1 a. What is the test statistic for this sample? Round to 3 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. p-value= c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0. O 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. O The sample data support the claim that the mean difference of post-test from pre-test is greater than 0. O There is not sufficient sample evidence to support the claim that the mean difference of post- test from pre-test is greater than 0.

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You wish to test the following claim (Ha) at a significance level of a 0.02. d denotes the mean of the
difference between pre-test and post-test scores.
Ho: d=0
Ha : μα > 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:
post-test
56.9
32.1
53.6
37.4
37.9
54.8
42.8
46.7
37.4
54.4
38.9
73.7
34.1
47.9
28.9
49.4
44.4
18.2
59.1
47.1
72.3
pre-test
62.5
62.8
80.6
42.7
55.1
59.2
36.3
59.8
39.6
43.6
test statistic =
p-value=
43.3
99.4
49.5
• Make sure to choose the appropriate column for Sample 1 and 2 so that you are estimating the improved
post-test score: pre-test-post-test, 2 -μ1
a. What is the test statistic for this sample?
65.6
29.1
49
44.3
31.6
80.3
67.7
81
Round to 3 decimal places.
b. What is the p-value for this sample? Round to 4 decimal places.
c. The p-value is...
O less than (or equal to) a
O greater than a
d. This test statistic leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
e. As such, the final conclusion is that...
O There is sufficient evidence to warrant rejection of the claim that the mean difference of
post-test from pre-test is greater than 0.
O 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.
O The sample data support the claim that the mean difference of post-test from pre-test is
greater than 0.
O There is not sufficient sample evidence to support the claim that the mean difference of post-
test from pre-test is greater than 0.
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a 0.02. d denotes the mean of the difference between pre-test and post-test scores. Ho: d=0 Ha : μα > 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: post-test 56.9 32.1 53.6 37.4 37.9 54.8 42.8 46.7 37.4 54.4 38.9 73.7 34.1 47.9 28.9 49.4 44.4 18.2 59.1 47.1 72.3 pre-test 62.5 62.8 80.6 42.7 55.1 59.2 36.3 59.8 39.6 43.6 test statistic = p-value= 43.3 99.4 49.5 • Make sure to choose the appropriate column for Sample 1 and 2 so that you are estimating the improved post-test score: pre-test-post-test, 2 -μ1 a. What is the test statistic for this sample? 65.6 29.1 49 44.3 31.6 80.3 67.7 81 Round to 3 decimal places. b. What is the p-value for this sample? Round to 4 decimal places. c. The p-value is... O less than (or equal to) a O greater than a d. This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e. As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the mean difference of post-test from pre-test is greater than 0. O 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. O The sample data support the claim that the mean difference of post-test from pre-test is greater than 0. O There is not sufficient sample evidence to support the claim that the mean difference of post- test from pre-test is greater than 0.
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