A National Organization Has Been Working with Utilities Throughout the Nation

Multiple Choice

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 10 miles per hour (mph) for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of $n = 100$ wind speed recordings (taken at random intervals) , the wind speed at the site averaged $\bar { x } = 9 \mathrm { mph }$ , with a standard deviation of $s = 3.0 \mathrm { mph }$ . To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 10$ vs. $H _ { \mathrm { a } } : \mu > 10$ , where $\mu$ is the true mean wind speed at the site and $\alpha = .05$ . 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 $10 \mathrm { mph }$ when it actually $10 \mathrm { mph } . "$

A) equals; equals
B) equals; exceeds
C) exceeds; equals
D) exceeds; exceeds