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
icon
Related questions
Question
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 13 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman