A researcher studied the impact of sleep deprivation on problem solving. He collected data from a sample of n = 10 students. On the first day of the study, each student attempted to answer 20 logic problems. They were then instructed to not sleep for the next 24 hours. On the next day the students, now sleep deprived, attempted to answer another set of 20 logic problems. The researchers recorded the number of problems each student solved before versus after sleep deprivation. The data are shown here: Student Before After Zachary 16 15 Yolanda 12 13 Xian 16 14 Wayne 13 13 Vera 16 16 Ursula 17 14 Tom 13 12 Siobhan 18 19 Ravi 18 17 Quadim 17 17 1. Calculate D and D². 2. Calculate MD. 3. Calculate SSD. 4. Calculates and sp. 5. Calculate SMD' 6. What is the critical value of t for this related samples t-test? 7. Calculate t. 8. Is there a significant difference in the number of problems solved before versus after sleep depriva- tion? 9. Calculate 2, the coefficient of determination.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 11CYU
Question
A researcher studied the impact of sleep deprivation on problem solving. He collected data from a sample
of n = 10 students. On the first day of the study, each student attempted to answer 20 logic problems.
They were then instructed to not sleep for the next 24 hours. On the next day the students, now sleep
deprived, attempted to answer another set of 20 logic problems. The researchers recorded the number of
problems each student solved before versus after sleep deprivation. The data are shown here:
Student Before After
Zachary 16
15
Yolanda
12
13
Xian
16
14
Wayne
13
13
Vera
16
16
Ursula
17
14
Tom
13
12
Siobhan
18
19
Ravi
18
17
Quadim 17
17
1. Calculate D and D².
2. Calculate MD.
3. Calculate SSD.
4. Calculates and sp.
5. Calculate SMD'
6. What is the critical value of t for this related samples t-test?
7. Calculate t.
8. Is there a significant difference in the number of problems solved before versus after sleep depriva-
tion?
9. Calculate 2, the coefficient of determination.
Transcribed Image Text:A researcher studied the impact of sleep deprivation on problem solving. He collected data from a sample of n = 10 students. On the first day of the study, each student attempted to answer 20 logic problems. They were then instructed to not sleep for the next 24 hours. On the next day the students, now sleep deprived, attempted to answer another set of 20 logic problems. The researchers recorded the number of problems each student solved before versus after sleep deprivation. The data are shown here: Student Before After Zachary 16 15 Yolanda 12 13 Xian 16 14 Wayne 13 13 Vera 16 16 Ursula 17 14 Tom 13 12 Siobhan 18 19 Ravi 18 17 Quadim 17 17 1. Calculate D and D². 2. Calculate MD. 3. Calculate SSD. 4. Calculates and sp. 5. Calculate SMD' 6. What is the critical value of t for this related samples t-test? 7. Calculate t. 8. Is there a significant difference in the number of problems solved before versus after sleep depriva- tion? 9. Calculate 2, the coefficient of determination.
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