Answer:
By the Central Limit Theorem, the mean of the distribution of sample means is 1992.3 minutes.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sample means with size n of at least 30 can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]
Mean of the population:
1992.3 minutes
What is the mean of the distribution of sample means?
By the Central Limit Theorem, the mean of the distribution of sample means is 1992.3 minutes.