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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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 3E
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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.
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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