SOLUTION: The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches. A sample of 25 metal sheets is
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Question 1143671: The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.0 inches and a standard deviation of 0.9 inches. A sample of 25 metal sheets is randomly selected from a batch. What is the probability that the average length of a sheet is between 29.82 and 30.27 inches long? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! z=(x bar-mean)/sigma/sqrt(n)
=(29.82-30)/0.9/sqrt(25)=-.1.8*5/.9=-10
=(30.27-30)/0.9/sqrt(25)=-2.7*5/.9=+15
For z between-10 and +12 the probability is 1.
