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 nine patients and records the number of hours of sleep each gets with and without the new drug. The results of the two-night study are listed below. Using this data, find the 80% confidence interval for the true difference in hours of sleep between the patients using and not using the new drug. Assume that the hours of sleep are normally distributed for the population of patients both before and after taking the new drug.

Patient   Hours of sleep without drug   Hours of sleep with new drug
1    6 7.8
2 4 6.7
3 3.3 5
4 3.9 5

Step 1 of 4 :

Find the point estimate for the population mean of the paired differences. Let x1 be the number of hours of sleep without the new drug and x2 be the number of hours of sleep with the new drug and use the formula d=x2−x1 to calculate the paired differences. Round your answer to two decimal places.

Answer 1

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