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Rolling a fair 12 sided die produces a uniformly distributed set of numbers between one and 12 with a mean of 6.5

Rolling a fair 12 sided die produces a uniformly distributed set of

numbers between one and 12 with a mean of 6.5 any standard deviation of 3.452. Assume that and 12 sided dice our world many times and the meaning of and outcomes is computed each time. What is the standard deviation of the distribution of sample means for and equaling 144?

 
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