A dairy scientist is testing a new feed additive. She chooses 13 cows at random from...

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A dairy scientist is testing a new feed additive. She chooses 13cows at random from a large population. She randomly assigns n_old= 8 to the old diet and n_new = 5 to a new diet including theadditive. The cows are housed in 13 widely separated pens. Aftertwo weeks, she milks each cow and records the milk produced inpounds:
Old Diet: 43, 51, 44, 47, 38, 46, 40, 35 New Diet: 47, 75, 85,100, 58
Let ?new and ?old be the population mean milk productions forthe new and old diets, respectively. She wishes to test H0 : ?new ??old = 0 against HA : ?new ? ?old ?= 0 using ? = 0.05.
(a) Graph the data as you see fit. Why did you choose thegraph(s) that you did and what does it (do they) tell you?
(b) Choose a test appropriate for the hypotheses and justifyyour choice based on your answer to part (a). Then perform the testby computing a p-value, and making a reject or not reject decision.Do this without R and show your work. (Also do it with R, if youwish, to check your work). Finally, state your conclusion in thecontext of the problem.

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3.6 Ratings (464 Votes)

a The graph isI chose this graph to check the variation in milk produced rateIt is clear that the New Diet is way better than the Old Dietb The hypothesis being tested isH0 See Answer

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