Question: A statistical test was proposed to check the air traffic controllers’ claim that a commercial jet’s position can be determined, on average, to within 125 feet in the usual range around airports in the US. The test was to be carried out at the .025 significance level using a random sample of 100 airplane sightings. The statistician designing the test wants to determine the power of this test if the actual average distances at detection are 112 feet, 117 feet, 122 feet, and 127 feet. An estimate of the standard deviation is 40 feet. Calculate the power of the test for the indicated average distances at detection and generate the power curve.