NASA has been working with utility companies to set up expensivepower generating windmills. In order for a site to be effective,the average wind speed must be more than 20 mph. At a specificsite, NASA took a sample of forty-five wind speed readings. Thesample average wind speed is 21.7 mph with a standard deviation of4.2 mph. NASA will only build the windmill if they are sure thatthe true average wind speed is greater than 20 mph.
a. Should they build the windmill? Justify by conducting ahypothesis test at α = 0.05.
b. Describe in the words of the problem what making a Type Ierror would be and its likely consequences
c. Describe in the words of the problem what making a Type IIerror would be and its likely consequences.
