Finding Confidence Intervals. In Exercises 916, assume

Chapter 7, Problem 11

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Finding Confidence Intervals. In Exercises 916, assume that each sample is a simplerandom sample obtained from a population with a normal distribution. Antifreeze A container of car antifreeze is supposed to hold 3785 mL of the liquid. Realizingthat fluctuations are inevitable, the quality-control manager of the Taconic ChemicalCompany wants to be quite sure that the standard deviation is less than 30 mL. Otherwise,some containers would overflow while others would not have enough of the coolant. Sheselects a simple random sample of 24 containers and finds that the mean is 3789 mL andthe standard deviation is 42.8 mL. Use these sample results to construct the 99% confidenceinterval for the true value of s. Does this confidence interval suggest that the variation is atan acceptable level?

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