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.      A. The test​ statistic, t, is ​(Round to two decimal places as​ needed.)   B. The​ P-value iS. ​(Round to three decimal places as​ needed.)       C. Construct a confidence interval appropriate for the hypothesis test lb less than mu 1 minus mu 2less than lb ​(Round to three decimal places as​ needed.)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.