A recent survey was conducted to compare the cost of solar energy to the cost of gas or electric energy. Results of the survey revealed that the distribution of the amount of the monthly utility bill of a 3-bedroom house using gas or electric energy had a mean of $135 and a standard deviation of $11. If the distribution can be considered mound-shaped and symmetric, what percentage of homes will have a monthly utility bill of more than $124?
A) approximately 84%
B) approximately 95%
C) approximately 16%
D) approximately 34%

Question

Quizplus · Accepted Answer

The correct answer is A because the empirical rule states that for a mound-shaped and symmetric distribution, approximately 84% of the data will fall within 1 standard deviation of the mean. In this case, the mean is $135 and the standard deviation is $11, so 84% of the homes will have a monthly utility bill between $124 and $146.

A Recent Survey Was Conducted to Compare the Cost of Solar