A researcher compares the average number of hours students s…

A researcher compares the average number of hours students spend outdoors in spring between two schools. School A:n₁ = 12, x̄₁ = 14 hours, s₁ = 3 School B:n₂ = 10, x̄₂ = 11 hours, s₂ = 5 a) Test whether School A students spend a different time outdoors than School B students at a .05 level of significance.   Include all steps in the hypothesis test, including drawing a diagram. List the critical value NOT the p-value. b)  Compute a 95% confidence interval around the difference in time outdoors.