Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20 23 21 16 20 Without Caffeine 28 27 24 25 25 21 21 21 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful
sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of
restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8
adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day
for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each
period, the participants record the numbers of nights of restful sleep that they had. The following table
gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the
population distribution of the paired differences is approximately normal. Let the period before
removing caffeine be Population 1 and let the period after removing caffeine be Population 2.
Numbers of Nights of Restful Sleep in a Four-Week Period
With Caffeine
24 22 24 20 23 21 16 20
Without Caffeine
28
27 24
25 25 21 21 21
Copy Data
Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Transcribed Image Text:Sarah believes that completely cutting caffeine out of a person's diet will allow him or her more restful sleep at night. In fact, she believes that, on average, adults will have more than two additional nights of restful sleep in a four-week period after removing caffeine from their diets. She randomly selects 8 adults to help her test this theory. Each person is asked to consume two caffeinated beverages per day for 28 days, and then cut back to no caffeinated beverages for the following 28 days. During each period, the participants record the numbers of nights of restful sleep that they had. The following table gives the results of the study. Test Sarah's claim at the 0.05 level of significance assuming that the population distribution of the paired differences is approximately normal. Let the period before removing caffeine be Population 1 and let the period after removing caffeine be Population 2. Numbers of Nights of Restful Sleep in a Four-Week Period With Caffeine 24 22 24 20 23 21 16 20 Without Caffeine 28 27 24 25 25 21 21 21 Copy Data Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
Expert Solution
steps

Step by step

Solved in 6 steps with 23 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman