- NASA has been working with utility companies to set upexpensive power generating windmills. In order for a site to beeffective, the average wind speed must be more than 20 mph. At aspecific site, NASA took a sample of forty-five wind speedreadings. The sample average wind speed is 21.7 mph with a standarddeviation of 4.2 mph. NASA will only build the windmill if they aresure that the true average wind speed is greater than 20 mph.
1a. Should they build the windmill? Justify byconducting a hypothesis test at α = 0.05.
1b. Describe in the words of the problem what making a Type Ierror would be and its likely consequences.
1c. Describe in the words of the problem what making a Type IIerror would be and its likely consequences.
