NASA has been working with utility companies to set up expensive power generating windmills. In order...

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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 Î± = 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.

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Answer 1 a Given sample n 45 xbar 217 mph Standard deviation 42 mph mean u 20 mph we need to test Ho xbar u Ha xbar u let us consider test statistic t xussqrtn substitute values t 217 2042sqrt45 t 272 degree of freedom n 1 45 1 44 The pesteem for above test is 00047 since from t table P value 00047 See Answer

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