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[answered] A car manufacturer claims that its vehicles average at leas


A car manufacturer claims that its vehicles average at least 28 miles per gallon. Suppose, in fact, the cars only get 26.5 miles per gallon on average, with a population variance of 1. For an appropriate hypothesis test at a .975 confidence level, what is the power of a test of the company?s claim using a sample size of 4 cars?


We want to test ?0 < 28 at level ? = 0.025 , when true mean is ?1 = 26.5, true

 

std is 1, n = 4

 

The power of LEFT tailed test is given by: ? 

 

n

 

(?1 ? ?0 )]

 

?

 

?

 



 



 

4

 

= P Z > [1.96...

 


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