For the data in the file

obs lmHUIUI-thi-I 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 X 0.596621 70.0867 0.929538 0.834923 70.07962 70.22416 71.47277 71.06487 70.34355 0.629907 0.727952 0.41952 71.81937 0.317109 0.41269 70.62482 70.54805 70.45728 70.37384 1.130298 0.531202 71.84686 70.63557 70.51226 71.22553 71.09863 70.49782 0.530068 0.062899 0.469451 2.066846 70.64982 0.794169 71.29863 0.225823 1.242751 V 70.52433 70.57313 0.635719 1.560606 70.02214 70.88915 72.22312 70.09852 71.43034 71.85192 72.06744 0.805519 0.23945 70.50716 70.10607 71.79735 71.86238 70.10292 2.594769 70.84969 0.30402 0.983087 0.523696 72.16509 71.60526 0.64762 0.310519 70.47479 0.721083 71.09647 70.80059 2.02633 0.007356 0.789204 0.42455 70.73967 Produce a 95% confidence interval for the mean of each of X and Y. Test the null hypothesis that Mu X = Mu Y How large a sample would you need to know the mean of X within 0.1 unit with 95% confidence