A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the Sd Sd two-night study. Construct a 90% confidence interval for μg, using the inequality d-t√
A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the Sd Sd two-night study. Construct a 90% confidence interval for μg, using the inequality d-t√
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 3EA
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Question
![A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of
hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the
number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the
Sd
Sd
two-night study. Construct a 90% confidence interval for Hd, using the inequality d-t√ Hd <d+t√ Assume
the populations are normally distributed.
Click the icon to view the data on hours of sleep with and without the drug.
Calculated for each patient by subtracting the number of hours of sleep with the drug from the number without the
drug. The confidence interval is hr<Hd<hr.
(Round to two decimal places as needed.)
arc](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e3d67e0-c3b7-4e68-aa85-03ce9c0ee3bf%2F0dd9024d-e18f-480b-b0b5-65bae83c3192%2Funq9oh.jpeg&w=3840&q=75)
Transcribed Image Text:A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the number of
hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records the
number of hours of sleep each gets with and without the new drug. The accompanying table shows the results of the
Sd
Sd
two-night study. Construct a 90% confidence interval for Hd, using the inequality d-t√ Hd <d+t√ Assume
the populations are normally distributed.
Click the icon to view the data on hours of sleep with and without the drug.
Calculated for each patient by subtracting the number of hours of sleep with the drug from the number without the
drug. The confidence interval is hr<Hd<hr.
(Round to two decimal places as needed.)
arc
![Hours of Sleep
Patient
Hours of sleep
(without the drug)
Hours of sleep
(using the drug)
1
4 5 6 7
2 3
8 9 10 11 12 13 14 15
16 D
4.3 3.4 3.4 2.2 3.6 4.8 3.3 2.2 2.9 3.7 5.8 4.7 4.2 3.4 4.5 2.1
6.6 4.6 5.5 4.8 5.4 5.6 5.0 4.7 5.0 4.8 7.5 6.2 6.8 4.9 5.4 2.8](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9e3d67e0-c3b7-4e68-aa85-03ce9c0ee3bf%2F0dd9024d-e18f-480b-b0b5-65bae83c3192%2Fbklahv.jpeg&w=3840&q=75)
Transcribed Image Text:Hours of Sleep
Patient
Hours of sleep
(without the drug)
Hours of sleep
(using the drug)
1
4 5 6 7
2 3
8 9 10 11 12 13 14 15
16 D
4.3 3.4 3.4 2.2 3.6 4.8 3.3 2.2 2.9 3.7 5.8 4.7 4.2 3.4 4.5 2.1
6.6 4.6 5.5 4.8 5.4 5.6 5.0 4.7 5.0 4.8 7.5 6.2 6.8 4.9 5.4 2.8
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