# Question

An automobile mileage study tested the following hypotheses.
Hypothesis Conclusion
H0: μ > 25 mpg ..... Manufacturer’s claim supported
Ha: μ < 25 mpg ..... Manufacturer’s claim rejected; average mileage per gallon less than stated
For σ = 3 and a .02 level of significance, what sample size would be recommended if the researcher wants an 80% chance of detecting that μ is less than 25 miles per gallon when it is actually 24?

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