standard deviation is o = 0.24 mm. A 95% confidence interval for the true mean diameter of the 10,000 bearings is 10 + 1.96 * 0.24 /(10000)^1/2. True or False (b) For large n (i.e. n > 30), a two-sided 95% confidence interval for the population mean µ will contain the sample mean x approximately 95% of the time. True or False (c) Suppose that a random sample of n = 50 bottles of a certain brand of cough syrup is selected, and a 95% confidence interval for the true mean alcohol content in these bottles is calculated as [7.8, 9.4] mg. A 99% confidence interval calculated from the same sample data would be wider.

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