An experiment was designed to estimate the mean difference in weight gain for the pigs fed ration A as compared with those fed ration B. Eight pairs of pigs were used. The pigs within each pair were littermates. Te rations were assigned at random to the two animals within each pair. The gains in pounds after 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 µd, where d=ration A - Ration B.
Analyze the problem and type a short summary (1-2 paragraphs) of the results.