1) A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling process, the amount of cheese inserted into the ravioli is normally distributed. To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 ravioli and measure the weight of cheese filling. They find a sample mean weight of 15 grams with a standard deviation of 1.5 grams. a. Describe the sampling distribution for the sample mean. b. What is the standard error? c. What is the margin of error for 99% confidence? d. What is the margin of error for 90% confidence? e. Based on the sample results, find the 99% confidence interval and interpret. f. Based on the sample results, find the 90% confidence interval and interpret