Question

9. Suppose a probability and statistics class took an exam that had a mean of 60 and a standard deviation of 12. If the professor gave everyone a 10 point “curve” what would that do to the mean? What would that do to the standard deviation?                                          

Answer 1

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Giving a "10 point" curve to every student is like giving everybody a sample of 10. The distribution now becomes a sampling distribution.

The mean of the sampling distribution is equal to the mean of population distribution = 60

The standard deviation of sampling distribution is equal to population standard deviation divided by sqrt(sample size)

= 12/sqrt(10)

= 3.7947

Answer: Mean = 60

Standard deviation = 3.7947