A sleep disorder specialist wants to test whether herbal medicine increases the number of hours of sleep patients get during the night. To do so, the specialist randomly selects 14 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 95% confidence interval for μ_d.

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

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Patient 1 23 4 5 67 1.0 1.43.4 3.7 5. 5.1 5.2 2.9 3.33.5 4.4 5.0 5.0 5.2 Hours of sleep (without medicine) Hours of sleep (using medicine) Patient 8 910 12 13 14 Hours of sleep (without medicine) 5.3 5.5 5.8 4.2 48 2.9 4.5 Hours of sleep (using medicine) 5.3 6.0 6.5 4.4 4.7 3.1 4.7