Some evidence suggests that you are likely to improve your test score if you rethink and change answers on a multiple-choice exam (Johnston, 1975). To examine this phenomenon, a teacher gave the same final exam to two sections of a course. Students in one section were told to turn in their exams immediately after finishing, without changing any answers. In the other section, students were encouraged to reconsider each question and to change answers when they felt it was appropriate. Before the final, the teacher matched 9 students in the first section with 9 students in the second section based on their midterm grades. For example, a student in the no-change section with an 89 on the midterm was matched with a student in the change section who also had an 89 on the midterm. The final exam grades for the 9 matched pairs of students are presented in the table below. Do the data indicate a significant difference between the two conditions? Use a two-tailed test with . Construct a 95% confidence interval to estimate the size of the population mean difference. Write a sentence demonstrating how the results of the hypothesis test and the confidence interval would appear in a research report. Matched Pair No-Change Section Change Section #1 71 86 #2 68 80 #3 91 88 #4 65 74 #5 73 82 #6 81 89 #7 85 85 #8 86 88 #9 65 76

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Description: Some evidence suggests that you are likely to improve your test score if you rethink and change answers on a multiple-choice exam (Johnston, 1975). To examine this phenomenon, a teacher gave the same final exam to two sections of a course. Students i

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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Some evidence suggests that you are likely to improve your test score if you rethink and change answers on a multiple-choice exam (Johnston, 1975). To examine this phenomenon, a teacher gave the same final exam to two sections of a course. Students in one section were told to turn in their exams immediately after finishing, without changing any answers. In the other section, students were encouraged to reconsider each question and to change answers when they felt it was appropriate. Before the final, the teacher matched 9 students in the first section with 9 students in the second section based on their midterm grades. For example, a student in the no-change section with an 89 on the midterm was matched with a student in the change section who also had an 89 on the midterm. The final exam grades for the 9 matched pairs of students are presented in the table below.

Do the data indicate a significant difference between the two conditions? Use a two-tailed test with .
Construct a 95% confidence interval to estimate the size of the population mean difference.
Write a sentence demonstrating how the results of the hypothesis test and the confidence interval would appear in a research report.

Matched Pair	No-Change Section	Change Section
#1	71	86
#2	68	80
#3	91	88
#4	65	74
#5	73	82
#6	81	89
#7	85	85
#8	86	88
#9	65	76

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