The amount of money collected by a snack bar at a large university has been recorded daily for the past five years. Records indicate that the mean daily amount collected is $4000 and the standard deviation is $450. The distribution is skewed to the right due to several high volume days (including football game days). Suppose that 100 days were randomly selected from the five years and the average amount collected from those days was recorded. Which of the following describes the sampling distribution of the sample mean? A) skewed to the right with a mean of $4000 and a standard deviation of $450 B) normally distributed with a mean of $4000 and a standard deviation of $450 C) normally distributed with a mean of $4000 and a standard deviation of $45 D) normally distributed with a mean of $400 and a standard deviation of $45

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Answer:

A) skewed to the right with a mean of $4000 and a standard deviation of $450

Step-by-step explanation:

While the sample was collected from the skewed distribution at the right because of the number of high volume days that also includes a day for football games

The mean and variance always remain stable since the mean and variance of the sample is the unbiased approximation of the mean and variance in the population.

Therefore the correct option is A.