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 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 cour (paired) test results are below (scores are out of 100%): Person Initial Test Post-Test 1 62 75 2 61 67 3 62 60 4 74 75 5 67 68 68 76 7 63 59 8 68 74 Is there evidence, at an a = 0.025 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. (Arrange your data so that the standardized test statistic is for the change from t test to the post-test.) (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-infty, a), an answer of the form expressed (b, infty), and an answer of the form (-co, a) U (b, o0) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: OA. Do Not Reject Ho. OB. Reject Ho. OC. Do Not Reject H1. OD. Reject H1.
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 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 cour (paired) test results are below (scores are out of 100%): Person Initial Test Post-Test 1 62 75 2 61 67 3 62 60 4 74 75 5 67 68 68 76 7 63 59 8 68 74 Is there evidence, at an a = 0.025 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. (Arrange your data so that the standardized test statistic is for the change from t test to the post-test.) (a) The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-infty, a), an answer of the form expressed (b, infty), and an answer of the form (-co, a) U (b, o0) is expressed (-infty, a)U(b, infty). (b) The rejection region for the standardized test statistic: (c) Your decision for the hypothesis test: OA. Do Not Reject Ho. OB. Reject Ho. OC. Do Not Reject H1. OD. Reject H1.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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%):
Person
Initial Test
Post-Test
1
62
75
2
61
67
3
62
60
4
74
75
5
67
68
68
76
7
63
59
8
68
74
Is there evidence, at an a = 0.025 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. (Arrange your data so that the standardized test statistic is for the change from the initial
test to the post-test.)
(a) The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form (-co, a) is expressed (-infty, a), an answer of the form (b, co) is
expressed (b, infty), and an answer of the form (-co, a) U (b, co) is expressed (-infty, a)U(b, infty).
(b) The rejection region for the standardized test statistic:
(c) Your decision for the hypothesis test:
OA. Do Not Reject Ho.
OB. Reject Ho.
OC. Do Not Reject H1.
OD. Reject H1.
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