A plant manager knows that the number of boxes of supplies received weekly is normally distributed with a mean of 200 and a standard of 20.
-What percentage of the time will the number of boxes received weekly be less than 160?
A)0844
B)0987
C)0913
D)0750
E)0228

Question

Quizplus · Accepted Answer

To find the percentage of time the number of boxes received weekly is less than 160, we calculate the Z-score using the formula Z = (X - μ) / σ, where X is the value in question (160), μ is the mean (200), and σ is the standard deviation (20). Plugging in the values, we get Z = (160 - 200) / 20 = -40 / 20 = -2. A Z-score of -2 corresponds to a percentile of approximately 2.28% in the standard normal distribution, which means about 2.28% of the time, the number of boxes received will be less than 160.

A Plant Manager Knows That the Number of Boxes of Supplies