Answer:
By the Central Limit Theorem, the distribution of the sample mean will be normally distributed with mean and standard deviation
Step-by-step explanation:
We use the Central Limit Theorem to solve this problem.
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation , a large sample size, of at least 30, can be approximated to a normal distribution with mean and standard deviation
In this problem, we have that
What is the distribution of the sample mean?
By the Central Limit Theorem, the distribution of the sample mean will be normally distributed with mean and standard deviation