Question: A random sample of size 150 is taken from the population of the ages of juniors enrolled at a large university during one semester. This

A random sample of size 150 is taken from the population of the ages of juniors enrolled at a large university during one semester. This population has mean 21.1 years and standard deviation 2.6. The population distribution is not normal.
(a) Is it reasonable to assume a normal distribution for the sample mean ? Why or why not?
(b) Find the probability that  lies between 20.85 and 21.54 years.
(c) Find the probability that  exceeds 25.91 years.

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