What would I need to do for the following problem?

timer Asked: Feb 28th, 2015

Question description

The mean of a population is 76 and the standard deviation is 16. The shape of the population is unknown. Determine the probability of each of the following occurring from this population

a. A random sample of size 36 yielding a sample mean of 79 or more
b. A random sample of size 160 yielding a sample mean of between 75 and 77
c. A random sample of size 217 yielding a sample mean of less than 76.4

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