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The average age of a vehicle registered in the United States is 8 years, or 96...

The average age of a vehicle registered in the United States is 8 years, or 96 months. If a random sample of 36 vehicles is selected, find the probability that the mean of their age is between 98 and 100 months? Assume the standard deviation for the population is 15. Label the normal curve and shade in the correct area desired

Math   Statistics-And-Probability   
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Answer #1

Solution :

= / n = 15 / 36 = 2.5

= P[(98 - 96) / 2.5 < ( - ) / < (100 - 96) / 2.5)]

= P(0.8 < Z < 1.6)

= P(Z < 1.6) - P(Z < 0.8)

= 0.1571

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