Question

An environmental journal discussing current water usage within us reports a 95% confidence interval of (82,88) for the average number of household gallons used per person per day . the study was based on a random sample of 30 individuals throughout the nation. determine the average useage of the 30 individuals sampled

Answer 1

The average useage of the 30 individuals sampled is 85 gallons per day

Explanation:

A confidence interval has two bounds, the lower bound and the upper bound.

A confidence interval is symmetric, which means that the sample mean is the halfway point between these two bounds, that is, the sum of them divided by two.

In this problem, we have that:

Lower bound: 82

Upper bound: 88

Determine the average useage of the 30 individuals sampled

(82 + 88)/2 = 85

The average useage of the 30 individuals sampled is 85 gallons per day