Question

Based on meteorological data for the past century, a local tv weather forecaster estimates that the region's average winter snowfall is 23", with a margin of error of ±2 inches. as- suming he used a 95% confidence interval, how should viewers interpret this news? com- ment on each of these statements:

Answer 1

We are 95% sure that the region's true average snowfall is between 21 and 25 inches.

Explanation:

A confidence interval has two bounds, a lower bound and an upper bound. These bounds vary according to the margin of error M.

Lower bound: Average - M

Upper bound: Average + M

AVerage winter snowfall is 23", with a margin of error of ±2 inches.

Lower bound: 23-2 = 21 inches

Upper bound: 23+2 = 25 inches

95% confidence interval, how should viewers interpret this news?

We are 95% sure that the region's true average snowfall is between 21 and 25 inches.