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3) There are 1000 marbles in a box. Their diameters are D = N ( 1,...

3) There are 1000 marbles in a box. Their diameters are D = N ( 1, .25 ). You choose 100 marbles from the box and put them back. Many other people do the same. ( The person with the largest average diameter wins a car. ). Find the mean and standard deviation for their averages.







4) There are 9 dogs of a certain kind in your neighborhood. The weight of this kind of dog is normally distributed with the mean = 100 pounds and standard deviation = 10 pounds. D = N ( 100, 10 ). What is the mean and standard deviation of the distribution of the average weights of 9 such dogs?
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