Snow 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. Assuming he used a 95% confidence interval, how should viewers interpret this news? Comment on each of these statements: a) During 95 of the past 100 winters, the region got between 21" and 25" of snow. b) There's a 95% chance the region will get between 21" and 25" of snow this winter. c) There will be between 21" and 25" of snow on the ground for 95% of the winter days. d) Residents can be 95% sure that the area's average snowfall is between 21" and 25". e) Residents can be 95% confident that the average snowfall during the past century was between 21" and 25" per winter.

Question

Ashly Harmon

Mathematics

12 April, 10:12

Snow 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. Assuming he used a 95% confidence interval, how should viewers interpret this news? Comment on each of these statements: a) During 95 of the past 100 winters, the region got between 21" and 25" of snow. b) There's a 95% chance the region will get between 21" and 25" of snow this winter. c) There will be between 21" and 25" of snow on the ground for 95% of the winter days. d) Residents can be 95% sure that the area's average snowfall is between 21" and 25". e) Residents can be 95% confident that the average snowfall during the past century was between 21" and 25" per winter.

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Zhang · Answer 1

Step-by-step explanation:

Given that Snow based on meterological 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]

i. e. conf interval = (21,25)

The interpretation of confidence interval is as sample sizes grow and samples are drawn at random we can be 95% confident that the sample mean will fall within this interval

Hence option d is right.

d) Residents can be 95% sure that the area's average snowfall is between 21" and 25"