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 19 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 50 wind speed recordings (taken at random intervals), the wind speed at the site averaged 19.9 mph, with a sample standard deviation of 4.5 mph. To determine whether the site meets the organization's requirements, consider the test Ha: μ > 19, where μ is the true mean wind speed at the site. For a significance level of α = 0.10, do we reject the null hypothesis? Which of the following is an appropriate conclusion? At α = 0.10, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 19 mph. We are 90% confident that the site meets the organization's requirements. At α = 0.10, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 19 mph. We are 90% confident that the site does not meet the organization's requirements.
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 19 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 50 wind speed recordings (taken at random intervals), the wind speed at the site averaged 19.9 mph, with a sample standard deviation of 4.5 mph. To determine whether the site meets the organization's requirements, consider the test Ha: μ > 19, where μ is the true mean wind speed at the site. For a significance level of α = 0.10, do we reject the null hypothesis? Which of the following is an appropriate conclusion?
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At α = 0.10, there is insufficient evidence to conclude the true mean wind speed at the site exceeds 19 mph. |
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We are 90% confident that the site meets the organization's requirements. |
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At α = 0.10, there is sufficient evidence to conclude the true mean wind speed at the site exceeds 19 mph. |
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We are 90% confident that the site does not meet the organization's requirements. |
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