A National Organization Has Been Working with Utilities Throughout the Nation

question 82

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 11 miles per hour $( \mathrm { mph } )$ for a site to be acceptable. Recently, the organization conducted wind speed tests at a particular site. To determine whether the site meets the organization's requirements, consider the test, $H _ { 0 } : \mu = 11$ vs. $H _ { \mathrm { a } } : \mu > 11$ , where $\mu$ is the true mean wind speed at the site and $\alpha = .01$ . Suppose the observed significance level ( $p$ -value) of the test is calculated to be $p = 0.4052$ . Interpret this result.

• A) Since the \(p\)-value exceeds \(\alpha = .01\), there is insufficient evidence to reject the null hypothesis.
• B) We are \(59.48 \%\) confident that \(\mu = 11\).
• C) Since the \(p\)-value greatly exceeds \(\alpha = .01\), there is strong evidence to reject the null hypothesis.
• D) The probability of rejecting the null hypothesis is \(0.4052\).

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Definitions:

Change Bodies

Refers to the idea of altering one's physical form, potentially in the context of medical, technological, or speculative fiction scenarios.

Total Institutions

Are settings in which people are isolated from the larger society and under the strict control and constant supervision of a specialized staff.

Institutional Settings

Environments or contexts defined by established organizations or structured systems where specific rules, practices, and cultures are maintained.

Authoritarian Communities

Societies or groups that are governed by leaders who exercise absolute control, often limiting personal freedoms.