Statistics II20755 marksNumerical: confidence interval estimationEstimation
A manufacturer of computer paper has a production process that operates continuously throughout an entire production shift. The paper is expected to have an average length of 11 inches and standard deviation is known to be 0.01 inch. Suppose random sample of 100 sheets is selected and the average pa
A manufacturer of computer paper has a production process that operates continuously throughout an entire production shift. The paper is expected to have an average length of 11 inches and standard deviation is known to be 0.01 inch. Suppose random sample of 100 sheets is selected and the average paper length is found to be 10.68 inches. Set up 95% and 90% confidence interval estimate of the population average paper length. [5]
Parameter Value ------------------ Expected/target mean 11 inches (target, not used in CI) Population standard deviation ($\sigma$) 0.01 inch Sample size ($n$) 100 Sample mean ($\bar{X}$) 10.68 inches Since $\sigma$ is known and $n = 100$ (large), we use the Z-distribution. --- Standard Error: $$...