1. (The following problem has been taken from Encyclopedia W There was a lot commotion on planet BAJOUR. The Grand m is coming to inspect whether the money given to planet BAJOUR has been protably spent on the projects for which it was assigned to. Planet BAJOUR Entire Federation of Planets Latinmu spent in recovering of Average Average Wasteland after No. of Expense . . Expense the Great War Observations Per Observations Per of Supremacy on hectare hectare star-date 99880 _--_ (Use alpha value = 0.01) Assume that the populations (recovery expenses of wastelands in 5.619143: and the entire federation of planets) are normally distributed and that the samples are independent. The population variances are not known. Answer the following a. Prior experience says that the mean recovery expense of wastelands like in Planet m is 50.12. Based on this information, do you think that the current mean recovery expense of the wasteland in Planet m is signicantly more than prior expenses? b. Obtain a 95% condence interval on the mean recovery expense of wasteland in Planet m c. Do you think that the mean recovery expense of the wasteland in Planet 5.419115; 13 same as the mean recovery expense of wastelands in the entire federation of planets? Use the proper statistical test to arrive at your conclusion. You must justify as to why did you use this test? (Exchange rate Earth 1 = m 1.2) (Use alpha value = 0.01)