The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers a government employees. A random sample of 65 workers is drawn a) Does the "Central Limit Theorem" hold? Since n p = n.p<10 ≥ 10 and n (1-P) = n(1-p)>10 holds. > 10 we conclude that CLT b) The mean of the sample proportion of non-farm workers that are government employees is p = % and the standard deviation of the sample proportion is standard deviation to 3 decimal places. c) The probability that the sample proportion of non-farm workers that are government employees is less than 20% is: P(p < 0.2) = Round your answer to two decimal places. d) What sample proportion is needed for for a non-farm worker to be at the 60th percentile. (HINT: Use inverse probability) P(p < )= 0.60. Round your answer to two decimal places. op = Round the

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
5
The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers are
government employees. A random sample of 65 workers is drawn
a) Does the "Central Limit Theorem" hold? Since n. p=
≥ 10 and n · (1 − p) =
n(1-p)>10
holds.
n.p<10
10 we conclude that CLT
b) The mean of the sample proportion of non-farm workers that are
government employees is p
=
% and the standard
=
deviation of the sample proportion is o
standard deviation to 3 decimal places.
c) The probability that the sample proportion of non-farm workers that are
government employees is less than 20% is: P(p < 0.2) =
. Round your answer to two decimal places.
d) What sample proportion is needed for for a non-farm worker to be at the
60th percentile. (HINT: Use inverse probability) P(p <
)= 0.60. Round your answer to two decimal places.
Round the
Transcribed Image Text:5 The Bureau of Labor Statistics reported that 16% of U.S. non-farm workers are government employees. A random sample of 65 workers is drawn a) Does the "Central Limit Theorem" hold? Since n. p= ≥ 10 and n · (1 − p) = n(1-p)>10 holds. n.p<10 10 we conclude that CLT b) The mean of the sample proportion of non-farm workers that are government employees is p = % and the standard = deviation of the sample proportion is o standard deviation to 3 decimal places. c) The probability that the sample proportion of non-farm workers that are government employees is less than 20% is: P(p < 0.2) = . Round your answer to two decimal places. d) What sample proportion is needed for for a non-farm worker to be at the 60th percentile. (HINT: Use inverse probability) P(p < )= 0.60. Round your answer to two decimal places. Round the
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