A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based

Question

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 are correct interpretations? a. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams. b. 99% of all ravioli made by this process will have cheese filling weights between 14.16 and 15.84 grams c. The weight of cheese fillings in the ravioli is between 14.16 and 15.84 grams 99% of the time Options for answer choice: A. C only B. A only C. B Only D All of these E None of these

Explanation / Answer

The confidence interval gives the plausible values of mean. The correct interpretation is "a. We are 99% confident that the mean weight of cheese filling in all ravioli made by this process is between 14.16 and 15.84 grams."

Therefore, the correct option is B. A only.

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