Roll NO:-20Uec069

Let a = .05, and assume that all possible paired comparisons are to be made. For each value of k given in Exercise 12, use the Bonferroni procedure to find an upper bound for o', the overall probability of making at least one incorrect rejection. In each case, what level should be used to guarantee that o' s .10?Scientists concerned with treatment of tar sand wastewater studied three treatment methods for the removal of organic carbon. (Based on "Statistical Planning and Analysis for Treatments of Tar Sand Wastewater," W. R. Pirie, Technical Report, Virginia Tech University). The three treatment methods used were air flotation (A.F.), foam separation (F.S.), and ferric-chloride coagulation (F.C.C.). The organic carbon material measurements for the three treatments yielded the following data: A.F. F.S. F.C.C. 34.6 38.8 26.7 35.1 26.7 35.3 40 1 27.0 35.8 40.9 27,1 36.1 41.0 27.5 36.5 43.2 28.1 36.8 44.9 28.1 37.2 46.9 28.7 37.4 51.6 30.7 37.7 59.6 31.2 Test for differences among means. Be sure to report the P value of your test and state your conclusion.[Bonferroni inequality.) The following inequality provides the basis for determining the comparisonwise error rate needed to control the experimentwise error rate at some specified level. Let A. A,. .... A. be events. Then PAnAn . .nAJel-[PA)] + PAY + . . . + PLAY]] (=) Prove this result for c = 2. Hint Notice that by the general addition rule. PIA; UA'