Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . Say we roll the die 81 times, record the average, and repeat this process a total of 100 times. According to the Central Limit Theorem and the 68-95-99.7 rule, what is the probability of obtaining an average of -1 or less based on the facts above?  Assume that n is adequately large.  Select the choice that is closest to the answer.   A. 97.5%   B. 68%   C. 16%   D. 84%

Understanding Business
12th Edition
ISBN:9781259929434
Author:William Nickels
Publisher:William Nickels
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
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Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . Say we roll the die 81 times, record the average, and repeat this process a total of 100 times. According to the Central Limit Theorem and the 68-95-99.7 rule, what is the probability of obtaining an average of -1 or less based on the facts above?  Assume that n is adequately large.  Select the choice that is closest to the answer.

  A.

97.5%

  B.

68%

  C.

16%

  D.

84%

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