1. In order to compare two diets, 75 individuals were randomly assigned to one of the diets. The weight loss (in kg) was recorded for each subject. Summary data is given below.
Sample Size Diet A 40
Diet B 35
Mean Standard Dev 4.2 2.1
3.2 2.7
(a) Use an appropriate procedure, with justification, to test if the mean weight loss differs for the two diets (alpha = 0.01).
(b) Construct a 95% confidence interval for the difference of mean weight loss for the two diets.
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