SOLUTION: The average age of cars driven in one town is 5.5 years with a standard deviation of 1.4 years if 25 cars are chosen from this town what is the probability that the average age of
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Question 875398: The average age of cars driven in one town is 5.5 years with a standard deviation of 1.4 years if 25 cars are chosen from this town what is the probability that the average age of the cars in the sample is less than 5 years? Answer by ewatrrr(24785) (Show Source):
Hi
z = = -1.7857
P(x < 5) = P(z <-1.7857) = .0371 0r 3.71%
Below: z = 0, z = ± 1, z= ±2 , z= ±3 are plotted.
Note: z = 0 (x value: the mean) 50% of the area under the curve is to the left and %50 to the right