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5 April, 00:14

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:

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  1. 5 April, 02:07
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    We are 95% sure that the region's true average snowfall is between 21 and 25 inches.

    Step-by-step 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.
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