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A consumer research group is interested in testing an automobile manufacturer's claim that a new economy...

A consumer research group is interested in testing an automobile manufacturer's claim that a new economy model will travel at least 27 miles per gallon of gasoline (H 0:   27).

a. With a .02 level of significance and a sample of 40 cars, what is the rejection rule based on the value of 'x bar ' for the test to determine whether the manufacturer's claim should be rejected (to 2 decimals)? Assume that population standard deviation is 6 miles per gallon.

Reject H 0 if is less than or equal to greater than or equal to equal to ?

What is the probability of committing a Type II error if the actual mileage is 25 miles per gallon (to 4 decimals)?
  
What is the probability of committing a Type II error if the actual mileage is 26 miles per gallon (to 4 decimals)?
  

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