6-38 Farmer Braun, who sells grain to Germany, owns 60 acres of wheat fields.
Based on past experience, he knows that the yield from each individual acre
is normally distributed with mean 120 bushels and standard deviation 12
bushels. Help Farmer Braun plan for his next year's crop by finding
(a) The expected mean of the yields from Farmer Braun's 60 acres of
wheat.
(b) The standard deviation of the sample mean of the yields from Farmer
Braun's 60 acres.
(c) The probability that the mean yield per acre will exceed 123.8 bushels.
(d) The probability that the mean yield per acre will fall between 117 and
122 bushels.
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