The time it takes to process phone orders in a small florist/gift shop is normally distributed with a mean of 6 minutes and a standard deviation of 1.24 minutes. What
Cutoff values would separate the 16% of orders that take the least time to process?
A) 3.52 minutes
B) 4.76 minutes
C) 8.48 minutes
D) 10.01 minutes
E) 11.98 minutes

Question

Quizplus · Accepted Answer

We need to find the cutoff values that separate the 16% of orders that take the least time to process. This means we need to find the value that corresponds to the 16th percentile. Using a standard normal distribution table or a calculator, we find this value to be approximately -0.994.

Now we need to convert this value back to the original units using the formula: 
z = (x - mean) / standard deviation

Solving for x: 
x = z * standard deviation + mean 
x = -0.994 * 1.24 + 6 
x = 4.76

Therefore, the cutoff value that separates the 16% of orders that take the least time to process is 4.76 minutes, which corresponds to choice B.

The Time It Takes to Process Phone Orders in a Small