B. Solve the given problem on hypothesis testing on paired t-test. Show the complete solution. A hog raiser in a certain province uses two methods of pig-farming: intensive pig farming, where pigs are housed indoors in group-housing or straw-lines sheds; and extensive pig farming, where pigs are allowed to wander around the farm or fence. Test the hypothesis whether or not the mean weight of pigs in intensive farming is better than the extensive farming based from the mean weight of the pigs in the sample with data shown below. Use a two-tailed test at a = 1%. Intensive farming: X, = 85 kg, sỉ = 10 kg, and n1 = 55 Extensive farming: X, = 79 kg, s = 6 kg, and n2 = 45 %3D %3D 1. What are the appropriate hypotheses for the two-tailed test? 2. What is the test statistic to be used and the reasons for its selection?

Find a number between 3.24 and 3.241 if there is one. If there is no number between them, explain why not.

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Assume that z = f(x, y) is a continuous function over the region R. Assume a = 2. a C R r=a a x Express the double integral ff f(x, y) dA over R as an iterated integral using polar coordinates. 0₂ 12 N₁ f(x, y) dA = [" [" f(r cos(0), r sin(0))r dr de

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