Question

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

Answer 1

Answer:

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

Explanation:

While the days are picked at random, the size of the sample is enough to represent the reality. Among the random pick those days of football game will be picked too and will skewed to the right the distribution

The distribution will not change into normal as the reality is that distribution of revenue is not normally distributed among the days of the year.