Answer:
Normally distributed, with mean 2.35 hours per day and standard deviation 0.2492.
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.
Sampling distribution
By the Central Limit Theorem, normally distributed, with mean 2.35 hours per day and standard deviation
.