document.write( "Question 1182957: The main weekly salary a plant workers and a large corporation is $800 and a standard deviation is $120. Find the probability that the sampling error made is no more than $50 when predicting this mean salary based on the salary of 36 workers at a particular plant. \n" ); document.write( "
Algebra.Com's Answer #813101 by Boreal(15235)\"\" \"About 
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The SEM is sd/sqrt(n) or $120/6 or$ 20.
\n" ); document.write( "So the probability that sampling error is no more than $50 is another way of saying the sampling error is within 2.5 sd s of the mean.
\n" ); document.write( "so -2.5 < z < 2.5
\n" ); document.write( "and that probability is 0.9876.
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