Quantify the uncertainty of your estimate by giving the standard deviation of th
ID: 3409780 • Letter: Q
Question
Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
(If necessary, consult a list of formulas.)
a.
b.
The workers' union at a certain university is quite strong. About of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview a sample of workers, chosen at random, to get their opinions on the strike.Estimate the number of workers in the sample who are union members by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable). Do not round your response.Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
(If necessary, consult a list of formulas.)
Explanation / Answer
a) number of workers in the sample who are union members by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).vDo not round your response.
mean = np = 10*0.94 = 9.4
b) standard deviation of the distribution. Round your response to at least three decimal places.
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std = sqrt(npq) = sqrt(9.4*0.06) = 0.751