the ages of commercial aircraft are normally distributed with a mean of 13.0 years and a...

the ages of commercial aircraft are normally distributed with a mean of 13.0 years and a standard deviation of 7.7159 years. what percentage of individual aircraft have ages between 10 years and 16 years? assume that a random sample of 49 aircraft is selected and the mean age of the sample is computed. what percentage of sample means have ages between 10 years and 16 years?

Solutions

Expert Solution

Solution :

Given that,

mean = = 13.0

standard deviation = = 7.7159

n = 49

= 13.0

= / n = 7.7159 / 49 = 1.1023

P( 10 < < 16)

= P[( 10 - 13.0 ) / 1.1023 < ( - ) / < ( 16 - 13.0) / 1.1023)]

= P( -2.72 < Z < 2.72 )

= P(Z < 2.72 ) - P(Z < -2.72 )

Using z table,

= 0.9967 - 0.0033

= 0.9934

= 99.34%

Answer : P( 10 < < 16) = 99.34%

orchestra answered 1 year ago

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