A sleep disorder specialist wants to test the effectiveness of a new drug that is reported to increase the humb hours of sleep patients get during the night. To do so, the specialist randomly selects 16 patients and records number of hours of sleep each gets with and without the new drug. The accompanying table shows the result-

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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
ઉત
two-night study. Construct a 90% confidence interval for μ, using the inequality d-t√<d<d+tc. √n
the populations are normally distributed.
Click the icon to view the data on hours of sleep with and without the drug.
DOO
Assume
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<<hr.
(Round to two decimal places as needed.)
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 ઉત two-night study. Construct a 90% confidence interval for μ, using the inequality d-t√<d<d+tc. √n the populations are normally distributed. Click the icon to view the data on hours of sleep with and without the drug. DOO Assume 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<<hr. (Round to two decimal places as needed.)
Hours of Sleep
Patient
Hours of sleep
(without the drug)
Hours of sleep
(using the drug)
1
3.3
2
3
4
5
1.9 1.8 2.3 1.9
FLESATIED
6
3.4 4.1 2.7 4.6
7 8 9 10 11 12 13 14 15 16
5.8 4.4 2.2 3.1 5.3 5.7
4.4
54 43 3.9 3.8 3.1 4.5 4.8 5.0 5.2 6.1 7.9 5.5 3.7 5.5 7.8 6.6
Transcribed Image Text:Hours of Sleep Patient Hours of sleep (without the drug) Hours of sleep (using the drug) 1 3.3 2 3 4 5 1.9 1.8 2.3 1.9 FLESATIED 6 3.4 4.1 2.7 4.6 7 8 9 10 11 12 13 14 15 16 5.8 4.4 2.2 3.1 5.3 5.7 4.4 54 43 3.9 3.8 3.1 4.5 4.8 5.0 5.2 6.1 7.9 5.5 3.7 5.5 7.8 6.6
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