A Long-Haul Truck Driver Is Eligible for a Year-End Bonus $\bar { x }$

Short Answer

A long-haul truck driver is eligible for a year-end bonus if the average miles driven per day are more than 375 miles per eight-hour day.To determine whether or not a driver is to receive a year-end bonus,a random sample of 36 days from the driver's logbook is taken and the sample mean $\bar { x }$ is computed.The hypotheses are: H₀: $\mu \leq$ 375 miles (no bonus)vs.H₁: $\mu$ > 375 miles (eligible for bonus).If the population standard deviation $\text { σ }$ = 70 miles and the true mean is 405,what is the power of the test at $\alpha$ = 0.05?