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data on the weights? (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. assume that the two samples are independent simple random samples selected from normally distributed? populations, and do not assume that the population standard deviations are equal. complete parts? (a) and? (b) below. use a 0.01 significance level for both parts.

a) the test statistic, t is (round two decimals places as needed)

b) the p-value is (round to three decimals places as needed)

c) construct a confidence interval appropriate for the hypothesis test in part:

lb < u1 - u2 < lb