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) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
z = %285-5.5%29%2F%281.4%2Fsqrt%2825%29%29 = -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