Use the empirical rule to solve the problem.
-The amount of Jen's monthly phone bill is normally distributed with a mean of $78 and a standard deviation of $8. Fill in the blanks.
68.26% of her phone bills are between $___ and $___.
A)70, 86
B)62, 78
C)78, 86
D)62, 94

Question

Use the empirical rule to solve the problem.
-The amount of Jen's monthly phone bill is normally distributed with a mean of $78 and a standard deviation of $8. Fill in the blanks.
68.26% of her phone bills are between $___ and $___. 
A)70, 86
B)62, 78
C)78, 86
D)62, 94

Quizplus · Accepted Answer

The empirical rule states that for a normal distribution, approximately 68.26% of the data falls within one standard deviation of the mean. Therefore, to find the range, we add and subtract one standard deviation ($8) from the mean ($78), resulting in $70 ($78 - $8) and $86 ($78 + $8).

Use the Empirical Rule to Solve the Problem