[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 &lt; 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 &gt; [1.96...

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This question was answered on: Sep 18, 2020

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