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

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 is not normal.
(a) Is it reasonable to assume a normal 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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