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.
MATLAB: An Introduction with Applications
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Author:Amos Gilat
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![9. 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
s 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.
(d) It is estimated that 99.7% of the 8 million people in New York City had incomes between
$59,210.00-$1567.20 $57,542.80 and $59,210+ $1567.20 $60,777.20.
(e) The normal curve can't be used to figure confidence levels here because the data don't follow
the normal curve.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbec7db69-f1c6-411f-ad54-786c5c411d57%2Fe81691e2-c28b-4356-83d6-2a84a2ff575c%2Fa9fw7r_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9. 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
s 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.
(d) It is estimated that 99.7% of the 8 million people in New York City had incomes between
$59,210.00-$1567.20 $57,542.80 and $59,210+ $1567.20 $60,777.20.
(e) The normal curve can't be used to figure confidence levels here because the data don't follow
the normal curve.
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