Suppose the total time to fill a routine prescription at a local pharmacy is 35 minutes based on the time the physician places the order to the time it is dispensed.Assume the standard deviation is 11 minutes and the z score is -1.3. What is x?
A) 20.7
B) 0.0
C) -14.3
D) 14.3
E) -20.7

Question

Quizplus · Accepted Answer

We can use the formula for z-score:
z = (x - μ) / σ
where x is the value we're looking for, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:
-1.3 = (x - 35) / 11

Solving for x, we get:
x = -1.3(11) + 35 = 20.7

However, the question is asking for the value of x, not the z-score. So we need to add the z-score times the standard deviation to the mean:
x = μ + zσ
x = 35 + (-1.3)(11)
x = 14.3

Therefore, the answer is D) 14.3.

Suppose the Total Time to Fill a Routine Prescription at a Local