8. A national organization has been working with utilities throughout the nation

Question

8. A national organization has been working with utilities throughout the nation to find sites for large wind machines that generate electricity Wind speeds must average more than 12 milés per hour (mph) for a site to be acceptable. Recently; the organization conducted wind speed tests at a particular site. Bašed on a sample of n 150 wind speed recordings (taken at random intervals), the wind speed at the site averaged X- 11.8 mph, with a standard deviation of s 3.4 mph. To determine whether the site meets the organization's requirements, consider the test, Ho: ? 12, H1 : ? > 12, where ? is the true mean wind speed at the site and a 05. Fill in the blanks. "A Type I error in the context of this problem is to conclude that the true mean wind speed at the site 12 mph when it actually12 mph." (a) exceeds; equals (c) equals; exceeds (b) equals; equals (d) exceeds; exceeds

Explanation / Answer

A type I error is rejecting the Null hypothesis when it is true.Here the Null hypothesis states that the true mean wind speed is less than or equal to 12mph.So a type I error will be saying that the true mean wind exceeds 12 mph when it actually is less than than or equal to 12 mph.So Option(a) will be correct.

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