In: Statistics and Probability
A vending machine in the student cafeteria dispenses drinks into paper cups. A sample of 15 cups yields a mean of 15.3 ounces with a variance of 3.5. After adjusting the machine, a sample of 10 cups produces an average of 17.1 ounces with a variance of 3.9. If s2 is assumed to be constant before and after the adjustment, construct a 95 percent confidence interval for the difference in mean fills. Assume the amounts dispensed are normally distributed.
The tabulated value is
The margin of error is
The lower limit is and the Upper limit is