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For each of the following scenarios, state whether the normal distribution may be used and justify...

For each of the following scenarios, state whether the normal distribution may be used and justify your answer. If the normal distribution can't be used, state which distribution should be used instead.

a. A random sample of size 15 is taken from a normal population with standard deviation 5. Find the probability that the sample mean is greater than 28.

b. A random sample of size 15 is taken from a normal population with standard deviation 5. Find the probability that the sample variance is greater than 28.

c. A random sample of size 125 is taken from an approximately normal population. Find the probability that the sample mean is greater than 28.

d. A random sample of size 15 is taken from an approximately normal population. Find the probability that the sample mean is greater than 28

Math   Statistics-And-Probability   
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