A few years ago, noon bicycle traffic past busy section of campus had mean of µ = 300. To see if any change in traffic has occurred, counts were taken for the sample of 15 weekdays. It was found that and s = 30.
(a) Develop an a = .05 test of H0 : µ = 300 against the alternative that some change has occurred.
(b) Obtain a 95% confidence interval for µ.