In an effort to improve the statistics data analysis skills of 25 students, a teacher provides a weekly 2-hour tutoring session for the students. A pretest is given before the sessions, and a post-test is given after. Test scores are shown in Spreadsheet "Question 6". Pretest mark X₁: 71 61 63 66 68 64 63 78 70 65 49 72 67 44 64 60 62 59 64 64 69 68 66 76 62 Post-test mark X2: 64 60 79 79 70 79 63 71 79 64 89 54 57 89 86 81 69 72 76 75 75 81 77 63 78 Post-Pre D = X2 - X₁: -7 -1 16 13 2 15 0-7 9-1 40 -18 -10 45 22 21 7 13 12 11 6 13 11-13 16 n = 25, Σε - 215, = D² = 7043. Let HD be the mean score of the population differences (post-test pre-test scores). (a) What is the point estimate of μD? (b) Find the 95% confidence interval for HD. (c) The teacher claims that the sessions can help to improve the students' data analysis skills by more than 2 points (μD > 2), Test the claim at a = =0.05. 6
In an effort to improve the statistics data analysis skills of 25 students, a teacher provides a weekly 2-hour tutoring session for the students. A pretest is given before the sessions, and a post-test is given after. Test scores are shown in Spreadsheet "Question 6". Pretest mark X₁: 71 61 63 66 68 64 63 78 70 65 49 72 67 44 64 60 62 59 64 64 69 68 66 76 62 Post-test mark X2: 64 60 79 79 70 79 63 71 79 64 89 54 57 89 86 81 69 72 76 75 75 81 77 63 78 Post-Pre D = X2 - X₁: -7 -1 16 13 2 15 0-7 9-1 40 -18 -10 45 22 21 7 13 12 11 6 13 11-13 16 n = 25, Σε - 215, = D² = 7043. Let HD be the mean score of the population differences (post-test pre-test scores). (a) What is the point estimate of μD? (b) Find the 95% confidence interval for HD. (c) The teacher claims that the sessions can help to improve the students' data analysis skills by more than 2 points (μD > 2), Test the claim at a = =0.05. 6
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 23PFA
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Transcribed Image Text:In an effort to improve the statistics data analysis skills of 25 students, a
teacher provides a weekly 2-hour tutoring session for the students. A pretest is given
before the sessions, and a post-test is given after. Test scores are shown in Spreadsheet
"Question 6". Pretest mark X₁: 71 61 63 66 68 64 63 78 70 65 49 72 67 44 64 60 62 59 64
64 69 68 66 76 62
Post-test mark X2: 64 60 79 79 70 79 63 71 79 64 89 54 57 89 86 81 69 72 76 75 75 81
77 63 78
Post-Pre D = X2 - X₁: -7 -1 16 13 2 15 0-7 9-1 40 -18 -10 45 22 21 7 13 12 11 6 13
11-13 16
n = 25,
Σε - 215,
=
D² = 7043.
Let HD
be the mean score of the population differences (post-test pre-test scores).
(a) What is the point estimate of μD?
(b) Find the 95% confidence interval for HD.
(c) The teacher claims that the sessions can help to improve the students' data analysis
skills by more than 2 points (μD > 2), Test the claim at a =
=0.05.
6
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