Answer:
By the Central Limit Theorem, the mean of the average scores you get will be close to 1012.5.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean score of the population:
1012.5
If you do this many times, the mean of the average scores you get will be close to
By the Central Limit Theorem, the mean of the average scores you get will be close to 1012.5.
