A bottling company uses a filling machine to fill plastic bottles with water. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to the normal distribution with N( = 298, ! = 3). What is the probability that an individual bottle contains less than 295ml? Make sure to standardize (z) using the standard deviation for the sampling distribution. Let"s consider the very large database of individual incomes from the Bureau of Labor Statistics as our population. It is strongly right skewed. How large a sample size?
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