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The height of 12-year-olds in a city is approximately Normally distributed, with a standard deviation of 12.3 inches. A study was conducted with the objective

The height of 12-year-olds in a city is approximately Normally distributed, with a standard deviation of 12.3 inches. A study was conducted with the objective of constructing a Confidence Interval for the average height of 12-year-old children in that city. For this, a random sample of 27 children was selected and the average height was calculated, being 59.5 inches, and with 95% Confidence the Interval found was: [54.9, 64.1]. A suitable interpretation for this interval is:

Select one: ____With 95% confidence the average height of the 27 children is between [54.9, 64.1] inches. ____The interval [54.9, 64.1] contains the average height of 59.5 pounds 95% of the time. ____There is a 5% probability that the average height of the 27 children is not between [54.9, 64.1] inches. ____With 95% confidence the average height for 12-year-olds in that city is between [54.9, 64.1] inches. ____With 95% confidence, the average height is 12.3 inches away from 59.5 inches.

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