In a previous alternate exercise, Mrs. Gallas hoped to determine if the two versions of her AP® Statistics final exam were equally difficult. Last year, she set up a randomized comparative experiment, and the data showed no statistically significant difference in the scores between the two versions. This year, she selected a random sample of 20 students from the large district and used a matched pairs design, where each student was given both versions of the test. For each student, the test order was randomized. Here are the scores, along with the differences in scores for each student: Student 1 2 3 4 6. 7 9 10 11 12 13 14 15 16 17 18 19 20 Verslon A 90 85 77 96 88 83 93 81 84 71 65 98 93 83 85 91 82 79 74 72 Version B 86 84 80 91 83 80 87 83 80 70 60 99 96 75 78 88 81 74 65 66 Difference (A – B) 4 1 -3 36 -2 4 1 5-1 -3 8 7 3 1 5 9 6

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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Determine if the two versions of her AP Statistics final exam were equally difficult
In a previous alternate exercise, Mrs. Gallas hoped to determine if the two versions of her
AP® Statistics final exam were equally difficult. Last year, she set up a randomized
comparative experiment, and the data showed no statistically significant difference in the
scores between the two versions. This year, she selected a random sample of 20 students
from the large district and used a matched pairs design, where each student was given both
versions of the test. For each student, the test order was randomized. Here are the scores,
along with the differences in scores for each student:
Student
2 3
6.
7
8 9 10 11 12 13 14 15 16 17 18 19 20
Verslon A
90 85 77 96
83 93 81 84 71 65 98 93 83 85 91 82 79 74 72
Version B
86 84 80 91 83 80 87 83 80 70 60 99 96 75 78 88 81 74 65 66
Difference (A – B) Ź 4 1 -3 5 5
3
6 -2
5 -1 -3 8 7 3 1 5 9 6
4.
Transcribed Image Text:In a previous alternate exercise, Mrs. Gallas hoped to determine if the two versions of her AP® Statistics final exam were equally difficult. Last year, she set up a randomized comparative experiment, and the data showed no statistically significant difference in the scores between the two versions. This year, she selected a random sample of 20 students from the large district and used a matched pairs design, where each student was given both versions of the test. For each student, the test order was randomized. Here are the scores, along with the differences in scores for each student: Student 2 3 6. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 Verslon A 90 85 77 96 83 93 81 84 71 65 98 93 83 85 91 82 79 74 72 Version B 86 84 80 91 83 80 87 83 80 70 60 99 96 75 78 88 81 74 65 66 Difference (A – B) Ź 4 1 -3 5 5 3 6 -2 5 -1 -3 8 7 3 1 5 9 6 4.
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