You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, d = 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 μ₁ and ₂ are so that the differences are computed correctly.) Ho: μd = 0 Ha: Md 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 43 44.8 48.1 52.8 60.8 37.8 39.2 51.6 69.6 53 42.4 55.4 51.6 49.6 55.7 51.8 61.3 34.6 49.2 53.7 56.7 42.4 64.4 -23.8 34.4 9.4 24.8 106.5 -105 82.8 72.8 107 61.7 -26.1 21.7 32.1 -19.9 61.6 69.4 -56.1 4.5 9 -1.3 27.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)

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M10 Assignment, Q15 - Hypothesis Testing With Two Samples

 

You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context
of this problem, d = 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 μ₁ and 2
are so that the differences are computed correctly.)
Ho: Md = 0
Ha: Md #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
43
44.8
48.1
52.8
60.8
37.8
39.2
51.6
69.6
53
42.4
55.4
51.6
49.6
55.7
51.8
61.3
34.6
49.2
53.7
56.7
42.4
64.4
-23.8
34.4
9.4
24.8
106.5
-105
82.8
72.8
107
61.7
-26.1
21.7
32.1
-19.9
61.6
69.4
-56.1
4.5
9
-1.3
27.4
What is the test statistic for this sample?
test statistic =
(Report answer accurate to 4 decimal places.)
What is the p-value for this sample?
p-value =
(Report answer accurate to 4 decimal places.)
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.001. For the context of this problem, d = 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 μ₁ and 2 are so that the differences are computed correctly.) Ho: Md = 0 Ha: Md #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 43 44.8 48.1 52.8 60.8 37.8 39.2 51.6 69.6 53 42.4 55.4 51.6 49.6 55.7 51.8 61.3 34.6 49.2 53.7 56.7 42.4 64.4 -23.8 34.4 9.4 24.8 106.5 -105 82.8 72.8 107 61.7 -26.1 21.7 32.1 -19.9 61.6 69.4 -56.1 4.5 9 -1.3 27.4 What is the test statistic for this sample? test statistic = (Report answer accurate to 4 decimal places.) What is the p-value for this sample? p-value = (Report answer accurate to 4 decimal places.)
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