The amount of natural gas that Taylor Exploration extracts daily at its Cane Creek site in Utah has a normal distribution, with an average of 82,300 cubic feet and a standard deviation of 12,400 cubic feet.On a randomly selected day, it is 68.3% likely that the amount extracted will be between 69,900 and how many cubic feet.
A)87,600
B)91,220
C)96,720
D)93,000
E)94,700

Question

Quizplus · Accepted Answer

Given that the distribution is normal and the probability of the amount extracted being between 69,900 and an unknown upper limit is 68.3%, this corresponds to the range within one standard deviation from the mean in a normal distribution. The mean is 82,300 cubic feet, and one standard deviation is 12,400 cubic feet. Adding one standard deviation to the mean gives the upper limit: 82,300 + 12,400 = 94,700 cubic feet.

The Amount of Natural Gas That Taylor Exploration Extracts Daily