An Asian fusion cafe sells an average of 1240 wasabi lattes with a standard deviation of 80.What level of customer demand represents the 65th percentile for wasabi lattes?
A)1209
B)1253
C)1271
D)1293

Question

Quizplus · Accepted Answer

To find the customer demand that represents the 65th percentile, we need to use the z-score formula:

z = (x - μ) / σ

where x is the demand we want to find, μ is the mean demand (1240), σ is the standard deviation (80), and z represents the number of standard deviations away from the mean.

We can use a z-table or calculator to find the z-score that corresponds to the 65th percentile, which is 0.3853.

0.3853 = (x - 1240) / 80

x - 1240 = 30.824

x = 1270.824

Rounding to the nearest integer, the customer demand that represents the 65th percentile for wasabi lattes is 1271. Therefore, the answer is C.

An Asian Fusion Cafe Sells an Average of 1240 Wasabi