2. A pig farmer has been told that a certain new diet will make his pigs gain we

Question

2. A pig farmer has been told that a certain new diet will make his pigs gain weight faster. Being a rational person, he decides to test this theory. He takes 10 young piglets and weighs them. He puts 6 of them on the new diet, wheras the other four he keeps on the old diet After four weeks, we weighs the piglets again. The data are as follows NameDict Inital Wcight(kg) Final Wcight(kg) Dac Diva ChatterNew 15.3 Lightning New17.2 OctaviaOld10.5 Oona Pinch Sexy Troy Zane mon New 10.1 Old 10.2 30.3 30.4 30.8 40.0 28.2 33.7 43.6 35.2 33.0 38.6 Old12.3 New 18.1 New 17.7 New 16.2 Old 19.4 (a) Estimate the mean weight gain and its standard error for the piglets on the new diet. (b) Estimate the mean weight gain and its standard error for the piglets on the old diet. (c) Is there sufficient evidence to conclude that the new diet makes piglets gain more weight? (Caution: Read the question carefully!)

Explanation / Answer

a) for new -

mean = 19.71666 ,sd = sqrt(14.8776) = 3.857158

b) for old

mean = 19.625 , sd = 1.56711

c) p-value for one-tailed test is 0.482828

since p-value > 0.05

we fail to reject the null and conclude that there is not sufficient evidence that enw diet makes piglets gain more weight.

Please rate my solution

initial final difference new 10.1 30.3 20.2 15.3 30.8 15.5 17.2 40 22.8 18.1 43.6 25.5 17.7 35.2 17.5 16.2 33 16.8 old 10.2 30.4 20.2 10.5 28.2 17.7 12.3 33.7 21.4 19.4 38.6 19.2 new Old 20.2 20.2 15.5 17.7 22.8 21.4 25.5 19.2 17.5 16.8

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