Question

Each night you total the​ day's sales and the total volume of ice cream sold in your shop. You notice that when an employee named Ben​ works, the mean price of the ice cream sold is ​$ per pint with a standard deviation of ​$. On nights when an employee named Jerry​ works, the mean price of the ice cream sold is ​$ per pint with a standard deviation of ​$. Which employee likely receives more complaints that his servings are too​ small? Explain.

Answer 1

Complete Question:

Each night you total the day's sales and the total volume of ice cream sold in your shop. You notice that when an employee named Ben works, the mean price of the ice cream sold is $2.30 per pint with a standard deviation of $0.05. On nights when an employee named Jerry works, the mean price of the ice cream sold is $2.25 per pint with a standard deviation of $0.35. Which employee likely receives more complaints that his servings are too small? Explain.

Answer:

The employee that likely receives more complaints that his servings are too small is Jerry.

Step-by-step explanation:

a) Data:

Ben's mean price of ice cream sold = $2.30 per pint

Ben's mean price has a standard deviation = $0.05 (2.2%)

Jerry's mean price of ice cream sold = $2.25 per pint

Jerry's mean price has a standard deviation = $0.35 (15.5%)

b) Whereas the mean price of Ben's ice cream is $2.30, Jerry's mean price is less by $0.05, more than 20%.  On the other hand, the standard deviation of Ben's mean price is $0.05 (about 2.2% variation), while Jerry's is $0.35 representing about 15.6% variation.  This means that the variations in Jerry's price are far too much when compared to Ben's.

c) Percentages of Variations:

Ben = $0.05/$2.30 * 100 = 2.2%

Jerry = $0.35/$2.25 * 100 = 15.6%