Question

In: Statistics and Probability

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

5. 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.

Expert Solution

Solution :

Given that ,

mean = = 96

standard deviation = = 15

n = 36

= 96

= / $\sqrt$ n= 15/ $\sqrt$ 36=2.5

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

= P( 0.8< Z <1.6 )

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

Using z table

=0.9452-0.7881

=0.1571

probability= 0.1571

orchestra answered 1 year ago

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