Answer:
The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.
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.
Standard deviation is 9.5 for a population.
This means that
Sample of 60:
This means that
What is the standard deviation of the distribution of sample means for samples of size 60?
The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.