(- 3X2-5)ICOMPLITE FOR THE ANSWER?
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Answer:
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.
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.
In this problem
The mean of the population is 643.6 minutes.
By the Central Limit theorem, the mean of the distribution of sample means is 643.6 minutes.