Perform an F-Test for Lack of Fit
-A Gym Teacher $95 \%$

question 37

Multiple Choice

Perform an F-test for Lack of Fit
-A gym teacher uses three exercises to increase arm strength: push-ups, pull-ups, and rope climbing. He has 10 students in small class. The exercises consist of doing as many push-ups as possible in 2 minutes. After a rest the student does as many push-ups as possible in 2 minutes. After a rest the student climbs a rope and the time is recorded in seconds. The data for this class is given below. Test the null hypothesis that all coefficients are zero at the $95 \%$ confidence level.

• A) Reject the null hypothesis.
• B) Fail to reject the null hypothesis.
• C) The probability plot of residuals indicates non-normality of residuals so the hypothesis test is inconclusive.
• D) The probability plot of residuals indicates normality of residuals so the hypothesis test is inconclusive.

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Definitions:

Formal Rationality

A decision-making process focused on efficiency, predictability, calculability, and dehumanization, often associated with bureaucratic organizations.

Industrial Era

A period in history characterized by significant technological advancements and the rise of industrial production from the late 18th to the early 20th century.

Bureaucracy

An organizational structure characterized by hierarchical authority, rigid division of labor, written rules, and impersonal relationships, primarily in governmental and large institutional settings.

Rational-legal Authority

A form of leadership in which authority is largely tied to legal rationality, legal legitimacy, and bureaucracy.