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.

---

Definitions:

Self-induced Vomiting

The act of voluntarily causing oneself to vomit, often as a symptom of eating disorders like bulimia nervosa.

Compensatory Efforts

Actions taken to make up for or overcome deficiencies, disadvantages, or errors, often aiming to achieve a state of balance or equity.

Anorexia Nervosa

An eating disorder characterized by intense fear of gaining weight, disturbed body image, refusal to maintain normal weight, and use of dangerous measures to lose weight.

Disturbed Body Image

A psychological condition where a person has a distorted perception of their body, leading to dissatisfaction and possible mental health issues.