I need help answering and understanding problem #2. Thank you!

2 Goodness of fit: Plots, Tests, and MLEs, Oh My! Continuing your study of the Mos Eisley Cantina's bartender's blue milk volume, you col- lected 48 values representing his deviation from the desired volume. An Excel file (hw6_data.xlsx) containing these data has been posted to Canvas with this PDF. Please use that data to per- form the following exercises 2.1 Problem Create a Q-Q plot of the data against the normal distribution. (Note you will need to use the results from Problem 1 to calculate the appropriate MLEs.) Do you believe that the deviation from desired volume is a normally-distributed random variable based on your Q-Q plot?The next two problems walk you through the major steps of a KolmogorovSmirnov (KS) test, which is one way to test how well your chosen distribution ts the observed data. For the remaining problems, use only the rst 10 observations of the bartender deviation data: .039885044 .1233461?2 .170998764 .139751206 .010709052 .1033383? .014??052 .0?4?3?62 .004?589?6 .082437639 2.2 Problem Order the data from smallest to largest. Using these ordered observations, X (1) , X {2}, ...X{1D}, calculate Z,' = F(X(t-) ). (Hint: In Excel, the formula is NORM.DIST{x.val,mean,stdev,TRUE) - the nal argument indicates whether you are calculating the CDF). Also calculate the following values: 000000000 0 Let D = max(D+, D'). What are 13+, D', and D? 2.3 Problem We are performing a hypothesis test, in which our null hypothesis is 0 H0 : The data we observed follow a Nor-maa?) distribution, where the parameters are the appropriate Normal MLEs. When we use a KS test, we reject the null hypothesis if D > Dam, where Dam is a known critical value. Use a tolerance of CE = 0.05. (Hint: You can look up these values in Table A.8 in the Banks textbook. You can also nd a table of values here: http: Hpeople . cs .pitt . edug" "lipschultz,3c51533,'prob-table_KS . pdf.) Should you reject the null hypothesis in this