Answer:
False
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.
In this problem
Sample of 121, which is higher than 30.
So we do not need to know anything about the shape of the distribution in order to make an interval estimate of the mean of all the account balances.
So the answer is False