Question

Statistics and probabilty

The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate of the mean. He selects a random sampleof 49 trucks passing the weighing station and finds the mean is 15.8 tons, with a standard deviation of the sample of 4.2 tons. What is the probabilty that a truckwill weigh less than 14.3 tons?
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Answer #1
The probability is
P(X<14.3)
=P((X-mean)/s < (14.3-15.8)/4.2 )
=P(Z<-0.36)
= 0.3594 (check standard normal table)
answered by: vedrana
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