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18. a joint frequency distribution for number of farms by acreage and tenure of operator is provided in following contingency table. Tenure of Operator Full Corner Part Owner Tenant 50-179 18 13 14 180-499 20 15 13 acreage 500-999 15 19 17 1060 & Over 16 11 18 a. alt 25%, significance level do the data provide sufficient evidence to conclude that the farms are of different capacity and the owners are of different status? ( answer: J.S] = 0.28, C.V1 = 6.60 & J.$2 = 0.79, C.02 = 7.26) 6. Find and interpret a 95%, confidence interval for the difference in mean status of part owner and tenant. (answer: -6.402 to 4.40) c. Find and interpret an 807, confidence interval for the difference in mean capacity of farms acreage 180-499 and 1000 & Over. (answer: 2.67 to 4.67 )19. The number of defective bolts turned out by three different workers and three different machines in two days is represented by following contingency table 202 203 10 14 MI 13 16 22 13 19 14 Machines M2 16 27 9 11 14 M3 14 17 17 at the 5%, significance level do the data provide sufficient evidence to conclude that the defection in product is either due to the difference in the performance of machine s or due to the difference in performance of workers as if there is an interaction between machines and workers. ( answer: 5 51 = 2.51, ev1 = 4.26; J.52 = 4.34, C.12 = 4.26; 3.53 = 195, 6.03 = 3.63) 20 The independent simple random samples of households in four U.S. regions yielded the data on last year's energy consumptions shown in following table at the 5%, significance level, do the data provide sufficient evidence to conclude that a difference exists in last year's mean energy consumption by households among the four .S. regions? ( Closures: J.5 = 6.32, (.V) = 3.24)