What is the distance across the lake?
2 answers:
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Answer:
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes 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 of 650 and a standard deviation of 24.
This means that .
Sample of 36:
This means that
What is the shape of the sampling distribution you would expect to produce?
By the Central Limit Theorem, it is approximately normal with mean 650 and standard deviation 4.