Question

Doctors are comparing the efficacy of two painkillers. They randomly assign one of the two painkillers to their patients and measure time to relief for each individual. The group assigned painkiller 1 has 41 people in it. The group assigned painkiller 2 has 61 people in it. For group 1, the mean time to relief is 10 minutes, and the sample variance is 2 minutes. For group 2, the mean to time to relief is 9.5 minutes, and the sample variance is 3.5 minutes.

A) Construct a 95% confidence interval for the difference in average time to relief for the two painkillers.

B) Based on the confidence interval in part (a), the doctors conclude that the two painkillers are quite similar in their average time to relief. However, they noticed that painkiller 2 had a higher sample variance than painkiller 1. Perform a hypothesis test to determine if the variance for painkiller 2 is significantly higher than for painkiller 1. Test at the α = .05 level. (You may make any necessary assumptions to make the hypothesis test feasible.)

Also, if you're going to write the answer please write in a way where it's highly easy to read your handwriting. I don't mean to be rude, but I've had answers from chegg before that were almost worthless because I could only half read the handwriting. So if you're going to write please make sure your writing is very readable. Thank you.

Answer 1

Solution: