You wish to test the following claim (Ha) at a significance level of a=0.001. For the context of this problem, Ha=H2-H1 where the first data set (µ1 ) represents the score on a Chemistry pre-test (taken before four weeks of tutoring) and the second data set (µ2) represents the score on a Chemistry post-test (taken after four weeks of tutoring). Ho: Hd = 0 Ha: Hd> 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 47 51.6 40.4 22.9 42 52.4 42.7 34.1 37.4 38.3 40.1 34 45.2 30.5 43.6 44.5 40.1 53.8 40.5 58.4 44.4 32.9 43.9 46.3 42 37.9 44.7 31.8 48.2 47.2 38.4 46.7 43 51.8 49.1 61 43.1 66.9 44.8 51.8 49.7 64.1 46.1 59.2

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Chapter1: Starting With Matlab
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a) What type of test should you perform?
b) What is the test statistic?
c) What is the p-value?
d) What is the conclusion (in the context of the problem)?
Transcribed Image Text:a) What type of test should you perform? b) What is the test statistic? c) What is the p-value? d) What is the conclusion (in the context of the problem)?
You wish to test the following claim (Ha) at a significance level of a=0.001. For
the context of this problem, µd=µ2-µ1 where the first data set (µ1)
represents the score on a Chemistry pre-test (taken before four weeks of
tutoring) and the second data set (H2) represents the score on a Chemistry
post-test (taken after four weeks of tutoring).
Ho: Hd = 0
Ha: Hd > 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
47
51.6
40.4
22.9
42
52.4
42.7
34.1
37.4
38.3
40.1
34
45.2
30.5
43.6
44.5
40.1
53.8
40.5
58.4
44.4
32.9
43.9
46.3
42
37.9
44.7
31.8
48.2
47.2
38.4
46.7
43
51.8
49.1
61
43.1
66.9
44.8
51.8
49.7
64.1
46.1
59.2
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, µd=µ2-µ1 where the first data set (µ1) represents the score on a Chemistry pre-test (taken before four weeks of tutoring) and the second data set (H2) represents the score on a Chemistry post-test (taken after four weeks of tutoring). Ho: Hd = 0 Ha: Hd > 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 47 51.6 40.4 22.9 42 52.4 42.7 34.1 37.4 38.3 40.1 34 45.2 30.5 43.6 44.5 40.1 53.8 40.5 58.4 44.4 32.9 43.9 46.3 42 37.9 44.7 31.8 48.2 47.2 38.4 46.7 43 51.8 49.1 61 43.1 66.9 44.8 51.8 49.7 64.1 46.1 59.2
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