1. Assume the fill amount of bottles of a soft drink is normally distributed with a mean of 2.0 liters and standard deviation of 0.04 liter. If we take random samples of 14 bottles, what is the standard deviation of the sampling distribution of the sample mean? Show your work.
2 The distribution of heights of American women aged 18 to 24 is approximately normally distributed with mean 65.5 inches and standard deviation 2.5 inches. Approximately what percentages of women are between 60.5 and 73 inches tall? Use the Empirical Rule. Show your work.