1. Minimum Sample Size Determine the minimum sample size required when you want to be 95% confident that the sample mean is within one unit of the population mean and s = 4.8. Assume the population is normally distributed.
2. Minimum Sample Size Determine the minimum sample size required when you want to be 99% confident that the sample mean is within two units of the population mean and s = 1.4. Assume the population is normally distributed.
3. Cholesterol Contents of Cheese A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of cheese. The estimate must be within 0.5 milligram of the
population mean.
(a) Determine the minimum sample size required to construct a 95% confidence interval for the population mean. Assume the population standard deviation is 2.8 milligrams.
(b) Repeat part (a) using a 99% confidence interval.
(c) Which level of confidence requires a larger sample size?
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