Question

The confidence interval for the water consumption of a certain plant is 5 gallons to 13 gallons per year. The level of confidence is 95%. What is the average consumption and the margin of error?

Answer 1

Average consumption ( mean ) = 9

MOE = 4

Explanation:

We know that

CI ( 5 ; 13 )

and CI [ μ - MOE ; μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ = 18

μ = 9 and MOE = 13 - 9

MOE = 4