Question 20 (6 points) You are given the following data set: 73.15 71.38 76.45 72.48 65.39 72.18 73.42 75.92 What are the mean and standard deviation values? (ii) What are the outliers data points in this data set? (ii) What is the median and the spread? (iv) What is the table value for comparison at 95% confidence level? () Is there an outlier through using the test? (vi) What is the lower limit of the confidence interval at 50% confidence level? CL = confidence level Grubbs table at 95% CL: n = 6 Gtable value = 1.822 n=7 Gtable value = 1.938 n = 8 Gtable value = 2.032 Q test table n = 6 90% CL 95% CL 99% CL Qtable value = Qtable value = 0.560 0.625 Qtable value = 0.740 n = 7 Qtable value = 0.507 Qtable value = Qtable value = 0.680 0.568 n = 8 table value = Qtable value = 0.526 Qtable value = 0.634 0.468 Student t test table Degrees of 50% CL 90% CL 95% CL 98% CL 99% CL 99.5% CL 99.9% CL Freedom 4 0.741 2.132 2.776 3.747 4.604 5.598 8.610 5 0.727 2.015 2.571 3.365 4.032 4.773 6.869 6 0.718 1.943 2.447 3.143 3.707 4.317 5.959 7 0.711 1.895 2.365 2.998 3.500 4.029 5,408 8 0.706 1.860 2.306 2.896 3.355 3.832 5.041 outliers are 73.15 and 75.92 median = 72.82 and spread = 11.06 M outliers are 73.15 and 75.92 median = 72.82 and spread = 11.06 Lower limit of the confidence interval = 74.05 Lower limit of the confidence interval = 72.07 There is no way to tell if there is an outlier. G table value = 5.26 G table value = 2.032 Lower limit of the confidence interval = not of these answers are correct. G table value = 2.306 median = 72.82 and spread = 3.39 Lower limit of the confidence interval = 74.08 G table value = 0.468 mean = 72.82 standard deviation = 3.17 outliers are 76.45 and 65.39 12 median = 72.55 and spread = 3.39 15 mean = 72.55 standard deviation = 3.39 18 21 mean - 72.82 standard deviation -3.39 No there is not an outlier. Lower limit of the confidence interval = 0.518 No there is not an outlier. Lower limit of the confidence interval = 0.518 Yes there is an outlier. median = 72.55 and spread = 11.06 Lower limit of the confidence interval = 73.57 mean = 72.55 standard deviation = 3.17 3 Lower limit of the confidence interval = 73.05 21 Question 21 (1 point) Question 21 (1 point) The sample standard deviation for the following data set: 10.1 10.5 11.3 12.2 is 1 A/