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] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the distribution of the averages? a) x-bar ~ N(0, 9) b) x-bar ~ N(12.59, 1) c) x-bar ~ N(0, 81) d) x-bar ~ N(0, 1)
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] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the distribution of the averages? a) x-bar ~ N(0, 9) b) x-bar ~ N(12.59, 1) c) x-bar ~ N(0, 81) d) x-bar ~ N(0, 1)
Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment
Section: Chapter Questions
Problem 1CE
Related questions
Question
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] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the distribution of the averages?
| a) |
x-bar ~ N(0, 9) |
|
| b) |
x-bar ~ N(12.59, 1) |
|
| c) |
x-bar ~ N(0, 81) |
|
| d) |
x-bar ~ N(0, 1) |
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