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 the 99% confidence interval of 14.16 to 15.84 grams.Which of the following is the correct interpretation?

Question

Quizplus · Accepted Answer

The correct interpretation of a confidence interval is that we are a certain percent confident (in this case, 99%) that the true mean (average) of the population (in this case, the mean weight of cheese filling in all ravioli made by this process) falls within the interval. Choices B and C misinterpret the concept of a confidence interval, suggesting it applies to individual observations or to the frequency of observations within the interval, which is incorrect.

A Manufacturer of Cheese Filled Ravioli Supplies a Pizza Restaurant