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In: Statistics and Probability

The mean of a population is 75 and the standard deviation is 13. The shape of...

The mean of a population is 75 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 32 yielding a sample mean of 76 or more
b. A random sample of size 160 yielding a sample mean of between 74 and 76
c. A random sample of size 218 yielding a sample mean of less than 75.2

(Round all the values of z to 2 decimal places and final answers to 4 decimal places.)


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