Mathematics, 13.09.2019 18:30 cyndy50
your lumber company has bought a machine that automatically cuts lumber. the seller of the machine claims that the machine cuts lumber to a mean length of 6 feet (72inches) with a standard deviation of 0.5 inch. assume the lengths are normally distributed. you randomly select 47 boards and find that the mean length is 72.15 inches. complete parts (a) through (c).
use the standard normal table
(a) assuming the seller's claim is correct, what is the probability that the mean of the sample is 72.15 inches or more?
(round to four decimal places as needed.)
(b) using your answer from part (a), what do you think of the seller's claim?
(c) assuming the seller's claim is true, would it be unusual to have an individual board with a length of 72.15 inches? why or why not?
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