The diameters of Red Delicious apples in a certain orchard are normally distributed with a mean of
Question:
a. What percentage of the apples in this orchard have diameters less than 2.25 inches?
b. What percentage of the apples in this orchard are larger than 2.56 inches in diameter? A random sample of 100 apples is gathered, and the mean diameter obtained is x = 2.56
c. If another sample of size 100 is taken, what is the probability that its sample mean will be greater than 2.56 inches?
e. Why is the formula for the z-score used in part c different from that used in parts a and b?
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