A manufacturer of cream filled donuts collected data from its automatic filling process, the amount of cream inserted into the donuts is normally distributed.To make sure that the automatic filling process is on target, quality control inspectors take a sample of 25 donuts and measure the weight of cream filling.They find the 99% confidence interval of 14.16 to 15.84 grams.Which of the following is the correct interpretation?
A)We are 99% confident that the mean weight of cream filling in all donuts made by this process is between 14.16 and 15.84 grams.
B)99% of all donuts made by this process will have cream filling weights between 14.16 and 15.84 grams.
C)The weight of cream filling in the donuts is between 14.16 and 15.84 grams 99% of the time.
D)All of the above.
E)None of the above.

Question

Quizplus · Accepted Answer

A confidence interval provides an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data. In this case, the confidence interval is used to estimate the mean weight of cream filling in all donuts made by this process, not the weight of cream in individual donuts or the percentage of donuts within this range.

A Manufacturer of Cream Filled Donuts Collected Data from Its