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 millimetres, and the standard deviation of the length is 0.03 millimetre. At periodic intervals, a sample is selected to determine whether the mean paper length is still equal to 8 millimetres 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 8.001 millimetres. A 99% confidence interval estimate for the population mean paper length is 7.99326 8.00874. Is it true that you do not know for sure whether the population mean is between 7.99326 and 8.00874 millimetres? Explain Choose the correct answer below. 0 A. O B. It is true because only 1% of the confidence intervals will contain the population mean. It is false because the sample mean falls outside the confidence interval. OG C. It is false because the sample mean falls within the confidence interval. ( D. It is true because only 99% of the confidence intervals will contain the population mean.

Explanation / Answer

If sample mean lies within confidence interval then we can conclude population mean will fall within this range,therefore option c is correct answer.

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