Answer:
E. Approximately normal with standard deviation less than 0.7 sibling
Step-by-step explanation:
To solve this question, we use the Central Limit theorem.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
In this problem, we have that:
Skewed right distribution, with
Sampling distribution of the sample mean for samples of size 100
By the Central Limit Theorem, they will be approximately normal, with mean , and standard deviation
So the correct answer is:
E. Approximately normal with standard deviation less than 0.7 sibling