Q3: Wireless Plan Subscribers
A cell phone company offers two plans to its wireless subscribers. At the time of subscription in January 2024, two random samples of the plan members are selected and their annual income is reported.
(a) Would it be reasonable to assume the variances of the two underlying populations (i.e., Silver and Platinum plan members) are equal? Why or why not? Justify.
(b) Construct and interpret a 90% confidence interval for the difference between the population average annual incomes of two plan members.
(c) What conditions and assumptions are required for the confidence interval to be valid?
Plan Sample Size Mean($) Standard Deviation($)
Silver 15 75,000 3,000
Platinum 10 85,000 2,000