A National Organization Has Been Working with Utilities Throughout the Nation

question 115

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 19 miles per hour $( \mathrm { mph } )$ for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. Based on a sample of $n = 45$ wind speed recordings (taken at random intervals) , the wind speed at the site averaged $\bar { x } = 19.9 \mathrm { mph }$ , with a standard deviation of $s = 4.5 \mathrm { mph }$ . To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 19$ vs. $H _ { \mathrm { a } } : \mu > 19$ , 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 $1.34$ . State the conclusion.

• A) At \(\alpha = .01\), there is insufficient evidence to conclude the true mean wind speed at the site exceeds \(19 \mathrm { mph }\).
• B) At \(\alpha = .01\), there is sufficient evidence to conclude the true mean wind speed at the site exceeds \(19 \mathrm { mph }\).
• C) We are \(99 \%\) confident that the site does not meet the organization's requirements.
• D) We are \(99 \%\) confident that the site meets the organization's requirements.

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Definitions:

Behavioral Approach

A perspective in psychology focusing on observable behaviors and the ways in which the environment influences those behaviors.

Profits

The financial gain obtained when the revenues generated from business activities exceed the expenses, costs, and taxes involved in sustaining the activities.

Bivariate Analysis

Statistical analysis that involves the investigation of the relationship between two variables.

Closed System

An organizational perspective in which interactions with the external environment are minimized, focusing instead on internal processes and maintaining a stable state.