# Question

According to the American Time Use Survey, Americans watch television on weekdays for an average of 151 minutes per day (Time, July 11, 2011). Suppose that the current distribution of times spent watching television per weekday by all Americans has a mean of 151 minutes and a standard deviation of 20 minutes. Let be the average time spent watching television on a weekday by 200 randomly selected Americans. Find the mean and the standard deviation of the sampling distribution of . What is the shape of the sampling distribution of ? Do you need to know the shape of the population distribution in order to make this conclusion? Explain why or why not.

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