A paper manufacturer has a production process that operates

A paper manufacturer has a production process that operates continuously throughout an entire production shift. The paper is expected to have a mean of 8 inches, and the standard deviation is .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 7.999 inches. A 99% confidence interval estimate for the population mean paper length is . Is it true that you do not know for sure whether the population mean is between ?

A. It is false because the sample mean falls within the interval

b. it is true because the population mean will be in the interval of only 1% of the time

C it is false because the sample mean falls outside of the interval

d it is true because the population mean will be in the interval of 99% of the time.

Solution

A. It is false because the sample mean falls within the interval