The mean of a population is 76 and the standard deviation is 13. 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 78 or more
b. A random sample of size 120 yielding a sample
mean of between 75 and 79
c. A random sample of size 219 yielding a sample
mean of less than 76.7
(Round all the values of z to 2 decimal places and final answers to 4 decimal places.)
a. ?
b. ?
c. ?
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