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 table shows the results of the two-night study. Construct a 90% confidence interval for μ_d.

Construct the indicated confidence interval for μ_d. Assume the populations are normally distributed.

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Patient Hours of sleep 1.8 2.0 3.4 3.5 3.7 3.8 3.9 3.9 3.0 3.6 4.0 4.4 4.5 5.2 5.5.7 9 10 12 13 14 5 16 4.0 4.9 5. 5.2 5.0 4.5 4.2 4.7 6.2 6.3 6.6 7.8 7.2 6.5 5.6 5.9 (without the drug) Hours of sleep (using the drug) Patient Hours of sleep (without the drug) Hors 6263 6.6 7.8 of sleep (using the drug)