1. Suppose that for a given population with σ = 7.2 we want to test H0:μ = 80 against H1:μ < 80="" based="" on="" a="" sample="" of="" n="">
(a) If the null hypothesis is rejected when ¯y < 76,="" what="" is="" the="" probability="" of="" a="" type="" i="">
(b) What would be the rejection region if we wanted to have a level of significance of exactly 0.05?
2. An experiment designed to estimate the mean reaction time of a certain chemical process has ¯y = 79.6 s, based on 144 observations. The standard deviation is σ = 8.
(a) What is the maximum error of estimate at 0.95 confidences?
(b) Construct a 0.95 confidence interval on μ.
(c) How large a sample must be taken so that the 0.95 maximum error of estimate is 1 s or less?