Exercise 4: Confidence Intervals for the Population Means using z-values A manufacturer of widgets expects that each widget will be 11 inches long (u = 11 inches). The population standard deviation (o) is thought to be 0.02 inch. The Sample Mean, X, is 10.998 inches. The sample size is 100. Inputs 2$ 10.998 Sample Mean (X) Presumed Population Standard Deviation, o Sample size (n) 0.02 inch 100 1. What is the point estimate for the population mean, µ? 2. What is the appropriate z-value to use when constructing a confidence interval at a 95% and 99% confidence levels? Use the z-value table and Microsoft Excel.

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