e drug 3.6 1.9 2.4 3.7 4.8 4.5 2.9 4.9 4.5 2.3 2.3 3.5 3.6 4.7 3.1 3.2 4.4 5.4 5.4 3.6 6.8 6.6 4.0 4.9 5.6 4.8 drug ach patient by subtracting the number of hours of sleep with the drug from the number without the c Tor a decimal. Round to two decimal places as needed.)

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Construct a 90% confidence interval, using the inequality d-t.
To test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night,
researchers randomly select 13 patients and record the number of hours of sleep each gets with and without the new drug.
Patient
Sleep without the drug 3.6 1.9 2.4 3.7 4.8 4.5 2.9 4.9 4.5 2.3 2.3 3.5 3.6
Sleep using the drug
12 3 4 56 7 89 10 11 12 13 D
4.7 3.1 3.2 4.4 5.4 5.4 3.6 6.8 6.6 4.0 4.9 5.6 4.8
Calculate d for each patient by subtracting the number of hours of sleep with the drug from the number without the drug. The confidence interval is <H, <
(Type an integer or a decimal. Round to two decimal places as needed.)
Enter your answer in the edit fields and then click Check Answer.
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Transcribed Image Text:Construct a 90% confidence interval, using the inequality d-t. To test the effectiveness of a new drug that is reported to increase the number of hours of sleep patients get during the night, researchers randomly select 13 patients and record the number of hours of sleep each gets with and without the new drug. Patient Sleep without the drug 3.6 1.9 2.4 3.7 4.8 4.5 2.9 4.9 4.5 2.3 2.3 3.5 3.6 Sleep using the drug 12 3 4 56 7 89 10 11 12 13 D 4.7 3.1 3.2 4.4 5.4 5.4 3.6 6.8 6.6 4.0 4.9 5.6 4.8 Calculate d for each patient by subtracting the number of hours of sleep with the drug from the number without the drug. The confidence interval is <H, < (Type an integer or a decimal. Round to two decimal places as needed.) Enter your answer in the edit fields and then click Check Answer. All parts showing Clear All Check Answer P Type here to search a 8:38 PM 99+ 2/21/2021 20 esc 4+ 144 ho トト insert prt sc delete & 7 $ @ 2. %23 6. 8. backspace home W E R T Y. U tab pg up K L F H J pg dn enter caps lock D pause ↑ shift shift M. ctri
Expert Solution
Step 1

Let x be the number of hours of sleep with using the drug and y be the number of hours of sleep without using the drug.

Let d be the difference between the number of hours of sleep with using the drug and the number of hours of sleep without using the drug.

Patient sleep with using drug(x) sleep without using drug (y) d=x-y d-dbar (d-dbar)^2
1 4.7 3.6 1.1 -0.2538 0.064414
2 3.1 1.9 1.2

-0.1538

0.023654
3 3.2 2.4 0.8 -0.5538  0.306694
4 4.4 3.7 0.7 -0.6538 0.427454
5 5.4 4.8 0.6 -0.7538 0.568214
6 5.4 4.5 0.9 -0.4538 0.205934
7 3.6 2.9 0.7 -0.6538 0.427454
8 6.8 4.9 1.9 0.5462 0.298334
9 6.6 4.5 2.1 0.7462 0.556814
10 4.0 2.3

1.7

0.3462 0.119854
11 4.9 2.3 2.6 1.2462 1.553014
12 5.6 3.5 2.1 0.7462 0.556814
13 4.8 3.6

1.2

-0.1538 0.023654
    Sum 17.6  

5.132308

           
           
           
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