Internet: Online Viewing Most individuals now get most of their content online through streaming services. Two of the top streaming services are Netflix and Hulu with viewers logging in a number of hours a day watching the service. Suppose a random sample of 100 adults were independently surveyed from each service to determine the amount of hours each participant watches per day. The Netflix users had an average watch time of x1 5 3.2 hours daily while the Hulu users had an average of x2 5 2.9 hours daily.

(a) Check Requirements Suppose s1 and s2 are unknown, what distribution does x1 2x2 follow?

Explain.

(b) Given s1 5 0.8 and s2 5 0.9, find a 95%

confidence interval for m1 2m2.

(c) Check Requirements Suppose s1 and s2 are unknown, but from the random samples, you know s1 51.10 and s2 5 1.05. What distribution approximates the x1 2x2 distribution? What are the degrees of freedom? Explain.

(d) Find a 95% confidence interval for m1 2m2.

(e) If you have an appropriate calculator or computer software, find a 95% confidence interval for m1 2m2 using the degrees of freedom based on Satterthwaite’s approximation.

(f) Interpretation Based on the confidence intervals you computed, can you be 95% confident that m1 is greater than m2? Explain.
(g) Interpretation Based on the confidence intervals you computed, what can you say about the difference in average viewing time on the two streaming sites?AppendixLO1