*10.8 An experiment was designed to estimate the mean difference in weight gain

Question

*10.8 An experiment was designed to estimate the mean difference in weight gain for pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates. The rations were assigned at random to the two animals within each pair: The gains (in pounds fter-45 days are shown in the following table. Litter 1 2 3 4 5 6 7 8 Ration A 65 37 40 47 49 65 53 59 Ration B 58 39 31 45 47 55 59 51 Assuming weight gain is normal, find the 95% confidence interval estimate for the mean of the differences ?/d, where d ration A-ration B.

Explanation / Answer

CI = mean_diff +- t(a/2,n-1)*sd_diff/sqrt(n)

mean_diff= -0.52

sd_diff= 0.228

n= 5

alpha= 0.05

t(a/2,n-1) =t(0.05/2,5-1) =F.INV.2T(0.05,5-1) = 2.776

lower= -0.52-2.77644510519779*0.228035085019827/sqrt(5))= -0.803

upper= -0.52+2.77644510519779*0.228035085019827/sqrt(5))= -0.236857045

before after di 2.4 3 -0.6 2.5 2.9 -0.4 3 3.6 -0.6 2.9 3.1 -0.2 2.7 3.5 -0.8

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