The Statistical Abstract of the United States published by the U.S. Census
Bureau reports that the average annual consumption of fresh fruit per
person is 98 pounds.The standard deviation of fresh fruit consumption is
about 35 pounds. Suppose a researcher took a random sample of 40 people
and had them keep a record of the fresh fruit they ate for one year.
(a) What is the probability that the sample average would be less than
95 pounds?
(b) What is the probability that the sample average would be between
96 and 103 pounds?
(c) What is the probability that the sample average would be less than
110 pounds?
(d) What is the probability that the sample average would be between
91 and 94 pounds?
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