Answer:
The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.
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.
Each student:
Mean of 2.2 hours, standard deviation of 2 hours.
Sampling distribution of the time spent studying has approximate distribution
Sample of 200.
By the Central Limit Theorem,
Approximately normal
Mean 2.2
Standard deviation

The sampling distribution of the time spent studying has an approximately normal distribution, with mean 2.2 and standard deviation 0.1414.