A National Organization Has Been Working with Utilities Throughout the Nation

question 90

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 25 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 $n = 43$ wind speed recordings (taken at random intervals) , the wind speed at the site averaged $\bar { x } = 25.8 \mathrm { mph }$ , with a standard deviation of $s = 4.2 \mathrm { mph }$ . To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 25$ vs. $H _ { \mathrm { a } } : \mu > 25$ , where $\mu$ is the true mean wind speed at the site and $\alpha = .01$ . Suppose the value of the test statistic were computed to be $1.25$ . State the conclusion.

• A) We are \(99 \%\) confident that the site does not meet the organization's requirements.
• B) We are \(99 \%\) confident that the site meets the organization's requirements.
• C) At \(\alpha = .01\), there is insufficient evidence to conclude the true mean wind speed at the site exceeds \(25 \mathrm { mph }\).
• D) At \(\alpha = .01\), there is sufficient evidence to conclude the true mean wind speed at the site exceeds \(25 \mathrm { mph }\).

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Definitions:

Operations Strategy

A plan that outlines how an organization will allocate resources to support infrastructure and production to meet business objectives.

Competitive Strategy

Strategic approaches that organizations adopt to gain an advantageous position over their competitors in the market.

Automation

The technology by which a process or procedure is performed without human assistance.

Low-Cost Leadership

A competitive strategy where a company becomes the most cost-efficient producer in its industry, often allowing for lower pricing to customers.