SOLUTION: The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2500 kg and the standard deviation is 60 kg. Assume that the population

Question 1118602: The Crossett Trucking Company claims that the mean mass of its delivery trucks when they are fully loaded is 2500 kg and the standard deviation is 60 kg. Assume that the population follows the normal distribution. Forty trucks are randomly selected and their masses measured. Within what limits will 99% of the sample means occur?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
99% will occur within |z|=2.576
z=(xbar-mean)/sigma/sqrt(n)
2.576=(xbar-2500)/60/sqrt(40); denominator equals 9.49.
24.45=(xbar-2500)
upper limit is 2524.45
lower limit is 2475.55
(2475.55 kg, 2524.45 kg)

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