An experiment was designed to estimate the mean difference

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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) after 45 days are shown below:

RationA RationB
65 58
37 39
40 31
47 45
49 47
65 55
53 59
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.

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