Packages of sugar bags for Sweeter Sugar Inc.have an average weight of 16 ounces and a standard deviation of 0.2 ounces.The weights of the sugar packages are normally distributed.What is the probability that 16 randomly selected packages will have a weight in excess of 16.075 ounces?
A) .0500
B) .3520
C) .9332
D) .0668

Question

Quizplus · Accepted Answer

The standard error for the mean of 16 packages is 0.2/sqrt(16) = 0.05. The z-score for 16.075 is (16.075-16)/0.05 = 1.5. The probability of a z-score greater than 1.5 is 1 - 0.9332 = 0.0668.

Packages of Sugar Bags for Sweeter Sugar Inc