Answer:
The mean of the sampling distribution of the sample proportions is 0.62 and the standard deviation is 0.0485.
Explanation:
Central Limit Theorem
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.
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

62% of the households have cable tv.
This means that

Sample of 100.
This means that

What is the mean and standard deviation of the sampling distribution of the sample proportions?


The mean of the sampling distribution of the sample proportions is 0.62 and the standard deviation is 0.0485.