The daily sales from a salon are normally distributed with a mean of $1,500 and a standard deviation of $250. The salon owner notices that sales were $750 on a particular day. Why should the owner be concerned about sales based on this scenario?

This statement is incorrect because sales of $750 are actually three standard deviations below the mean. To calculate the number of standard deviations, we find the difference between the mean and the sales figure: $1,500 - $750 = $750. Dividing this by the standard deviation ($250) gives us 3, not 2. Therefore, sales of $750 are far more significant than just two standard deviations from the mean.

This choice is incorrect as it suggests that $750 is within a normal range of sales. In reality, sales of $750 are below the mean by more than two standard deviations (specifically, they are three standard deviations below), indicating an abnormal sales day that warrants concern.

This choice is misleading because it implies that $750 falls within a range of normal variability. Since $750 is exactly three standard deviations below the mean, it is technically on the boundary but not within the range considered typical sales, making it cause for concern.