Answer:
The mean for the sample mean distribution is 297 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], a large sample size can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\frac{\sigma}{\sqrt{n}}[/tex].
Using the Central Limit Theorem for Means, what is the mean for the sample mean distribution?
The mean is the same as the population mean, that is, 297 minutes.