A paper manufacturer has a production process that operates continuously through

Question

A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean length of 8 inches, and the standard deviation of the length is 0.03 inch. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 8 inches or whether something has gone wrong in the production process to change the length of the paper produced. A random sample of 100 sheets is selected, and the mean paper length is 7.998 inches. A 99% confidence interval estimate for the population mean paper length is 7.99026 lessthanorequalto mu lessthanorequalto 8.00574. Is it true that you do not know for sure whether the population mean is between 7.99026 and 8.00574 inches? Explain. Choose the correct answer below. A. It is true because the population mean will be in the interval only 1% of the time. B. It is true because the population mean will be in the interval only 99% of the time. C. It is false because the sample mean falls outside the interval. D. It is false because the sample mean falls within the interval.

Explanation / Answer

99% Confidence Interval inplies we are 99% confident that population mean will fall within this interval, i.e. population mean will be in the interval only 99% of the time.

Hence, Option (B) is the correct choice. (Ans).

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