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A National Organization Has Been Working with Utilities Throughout the Nation

question 83

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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=100n = 100 wind speed recordings (taken at random intervals) , the wind speed at the site averaged xˉ=9mph\bar { x } = 9 \mathrm { mph } , with a standard deviation of s=3.0mphs = 3.0 \mathrm { mph } . To determine whether the site meets the organization's requirements, consider the test, H0:μ=10H _ { 0 } : \mu = 10 vs. Ha:μ>10H _ { \mathrm { a } } : \mu > 10 , where μ\mu is the true mean wind speed at the site and α=.05\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 10mph10 \mathrm { mph } when it actually 10mph."10 \mathrm { mph } . "


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