Answer:
a) The mean is of
b) The standard deviation is of
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean and standard deviation
Question a:
Exactly 16% of all applications were from minority members
This means , and thus, the mean is of
b. Find the standard deviation of p.
2100 open positions, thus .
The standard deviation is of