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An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 5% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. A. Ho: H₁-4₂=U H₁: H₁-H₂0 B. Ho: H₁-H₂=U H₁: H₁-H₂ <0 C. Ho: H₁-H₂ FU H₁: H₁-H₂ = 0

An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 5% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. A. Ho: H₁-4₂=U H₁: H₁-H₂0 B. Ho: H₁-H₂=U H₁: H₁-H₂ <0 C. Ho: H₁-H₂ FU H₁: H₁-H₂ = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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Sample    Took_course    Did_not_take_course
1    95    92
2    78    67
3    65    47
4    84    76
5    69    53
6    74    61
7    76    64
8    71    56
9    90    85
10    96    94
11    67    50
12    93    89
13    75    62
14    99    98
15    94    91
16    79    68
17    73    59
18    91    86
19    72    58
20    89    83

An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 5% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. =U A. Ho: H₁ H₂ = H₁: H₁-H₂ #0 D. Ho: H₁-H₂ <0 H₁: H₁-H₂ 20 B. H₂: H₁ H₂ ²0 H₁: H₁-H₂ <0 E. Ho: H₁-H₂> >0 H₁: H₁-H₂ ≤0 The test statistic is t = (Round to three decimal places as needed.) C. Ho: H₁ H₂ FU H₁: H₁-H₂ = 0 F. Ho: μ₁ −μ₂ ≤0 H₁: H₁-H₂>0
Transcribed Image Text:An agency offers preparation courses for a graduate school admissions test to students. As part of an experiment to evaluate the merits of the course, 40 students were chosen and divided into 20 pairs in such a way that the members of any pair had similar academic records. Before taking the test, one member of each pair was assigned at random to take the preparation course, while the other member did not take a course. The achievement test scores are contained in the accompanying table. Assuming that the differences in scores follow a normal distribution, test at the 5% level, the null hypothesis that the two population means are equal against the alternative that the true mean is higher for students taking the preparation course. Click the icon to view the data table. Click the icon to view the critical values of the Student's t distribution. =U A. Ho: H₁ H₂ = H₁: H₁-H₂ #0 D. Ho: H₁-H₂ <0 H₁: H₁-H₂ 20 B. H₂: H₁ H₂ ²0 H₁: H₁-H₂ <0 E. Ho: H₁-H₂> >0 H₁: H₁-H₂ ≤0 The test statistic is t = (Round to three decimal places as needed.) C. Ho: H₁ H₂ FU H₁: H₁-H₂ = 0 F. Ho: μ₁ −μ₂ ≤0 H₁: H₁-H₂>0
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