Answer to Question #342934 in Statistics and Probability for ...

Question #342934

The average age of public jeepneys playing in Metro Manila is 15 years. Assume that the standard deviation is 4 years. If a random sample of 64 public jeepneys is chosen, find the probability that the mean of jeepneys ages is Between 12 to 19 years

1
Expert's answer
2022-05-23T08:45:58-0400
P(12<X<19)=P(Z<19154/64)P(12<X<19)=P(Z<\dfrac{19-15}{4/\sqrt{64}})

P(Z12154/64)-P(Z\le\dfrac{12-15}{4/\sqrt{64}})

=P(Z<8)P(Z6)=P(Z<8)-P(Z\le-6 )

10=1\approx 1-0=1


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