1) A quality control specialist for a restaurant chain takes a random sample of size 15 to check the amount of soda served in the 16 oz. serving size. The sample average is 15.5 with a sample standard deviation is 2.45. Find the 95% confidence interval for the mean amount of soda in a serving. You cannot assume the underlying population is normally distributed.
Show your value for E and your confidence interval
2) One of your distributors reports an average of 175 sales per day. You suspect that the average is different from 175, so you select 42 days and determine the number of sales each day. The sample mean is 166 with a standard deviation of 20 sales. At alpha = 0.01, is there enough evidence to doubt the distributor's reported average?
Show your hypothesis your calculated z or t score and your decision to accept or not accept the null hypothesis.