A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The (paired) test results are below (scores are out of 100%); Person 1 2 3 4 5 61 74 69 75 70 Is there evidence, at an a = 0.001 level of significance, to conclude that the prep course improves scores by more than 3 points? Carry out an appropriate hypothesis test, filling in the information requested. (Use the order Post-Test - Initial-Test when performing the hypothesis test.) (a) The value of the standardized test statistic: OB. Reject Ho- OC. Do Not Reject H₁- OD. Reject H₁- 6 - Initial Test Post-Test 71 76 77 91 74 86 59 7 8 74 65 79 74 Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, xo) is expressed (b, infty), and an answer of the form (-∞o, a) U (b, xo) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: A. Do Not Reject He
A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after the course. The (paired) test results are below (scores are out of 100%); Person 1 2 3 4 5 61 74 69 75 70 Is there evidence, at an a = 0.001 level of significance, to conclude that the prep course improves scores by more than 3 points? Carry out an appropriate hypothesis test, filling in the information requested. (Use the order Post-Test - Initial-Test when performing the hypothesis test.) (a) The value of the standardized test statistic: OB. Reject Ho- OC. Do Not Reject H₁- OD. Reject H₁- 6 - Initial Test Post-Test 71 76 77 91 74 86 59 7 8 74 65 79 74 Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, xo) is expressed (b, infty), and an answer of the form (-∞o, a) U (b, xo) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: A. Do Not Reject He
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:A company that sponsors LSAT prep courses would like to be able to claim that their courses improve scores by more than 3 percentage points. To test this, they take a sample of 8 people, have each take an initial diagnostic test, then take the prep course, and then take a post-test after
the course. The (paired) test results are below (scores are out of 100%):
(a) The value of the standardized test statistic:
Person
1
2
3
4
O C. Do Not Reject H₁.
O D. Reject H₁.
5
6
7
8
Initial Test Post-Test
71
76
77
91
74
86
61
74
69
75
70
Is there evidence, at an a = 0.001 level of significance, to conclude that the prep course improves scores by more than 3 points? Carry out an appropriate hypothesis test, filling in the information requested. (Use the order Post-Test - Initial-Test when performing the hypothesis test.)
59
74
65
79
74
Note: For the next part, your answer should use interval notation. An answer of the form (-∞, a) is expressed (-infty, a), an answer of the form (b, ∞) is expressed (b, infty), and an answer of the form (-∞, a) U (b, ∞o) is expressed (-infty, a)U(b, infty).
(b) The rejection region for the standardized test statistic:
(c) Your decision for the hypothesis test:
ⒸA. Do Not Reject Ho.
OB. Reject Ho.
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