There are about 8 million people in the City of New York. A survey organization took a simple random sample of 2,500 persons and found that the average household income in the sample was $59,210 and the SD was $26,120. The organization estimates the average income in the entire city to be around $59,210, they put a give-or-take number of $522.40 on this estimate. Say whether each of the following statements is true or false, and explain. (a) An approximate 99.7%-confidence interval for the average household income in the city runs from $57.642.80 to $60,777.20 (b) If a statistician takes a simple random sample of 2,500 persons out of the 8 million people in the city, and goes 3 SEs either way from the average household income of the the 2.500 people in the sample, there is about a 99.7% chance that his interval will cover the average household income in the city. (c) About 99.7% of the people in the sample had incomes in the range $59, 210+ $78,360.

There are about 8 million people in the City of New York. A survey organization took a simple random sample of 2,500 persons and found that the average household income in the sample was $59,210 and the SD was $26,120. The organization estimates the average income in the entire city to be around $59,210, they put a give-or-take number of $522.40 on this estimate. Say whether each of the following statements is true or false, and explain. (a) An approximate 99.7%-confidence interval for the average household income in the city runs from $57.642.80 to $60,777.20 (b) If a statistician takes a simple random sample of 2,500 persons out of the 8 million people in the city, and goes 3 SEs either way from the average household income of the the 2.500 people in the sample, there is about a 99.7% chance that his interval will cover the average household income in the city. (c) About 99.7% of the people in the sample had incomes in the range $59, 210+ $78,360.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 26PFA

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