An automobile mileage study tested the following hypotheses. Hypothesis Conclusion H 0: 25 mpg Manufacturer's claim supported H a:

An automobile mileage study tested the following hypotheses.

Hypothesis              Conclusion H0:  25 mpg     Manufacturer's claim supportedHa:  < 25 mpg       Manufacturer's claim rejected;                                 average mileage per gallon less than stated

For  = 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance of detecting that  is less than 25 miles per gallon when it is actually 24 (to the next whole number)?