A box contains 120 000 red marbles and 880 000 yellow marbles. (a) If you draw a random
Chapter 27, Problem 27-A(choose chapter or problem)
A box contains 120 000 red marbles and 880 000 yellow marbles. (a) If you draw a random sample of 1 000 marbles from the box, what are the expected numbers of red and yellow marbles? (b) Now put those marbles back in the box and repeat the experiment. What will be the absolute and relative standard deviations for the numbers in part (a) after many drawings of 1 000 marbles? (c) What will be the absolute and relative standard deviations after many drawings of 4 000 marbles? (d) If you quadruple the size of the sample, you decrease the sampling standard deviation by a factor of ___________. If you increase the sample size by a factor of n, you decrease the sampling standard deviation by a factor of _______.
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