Perform the Indicated Hypothesis Test $$\alpha = 0.01 \text {. }$$

question 83

Essay

Perform the indicated hypothesis test. Be sure to do the following: identify the claim and state the null and alternative
hypotheses. Determine the critical value and rejection region. Calculate the test statistic. Decide to reject or to fail to
reject the null hypothesis and interpret the decision in the context of the original claim. Assume that the samples are
independent and that each population has a normal distribution.
-At a college, 61 female students were randomly selected and it was found that their monthly income had a
standard deviation of $218.70. For 121 male students, the standard deviation was $303.66. Test the claim that
variance of monthly incomes is higher for male students than it is for female students. Use $$\alpha = 0.01 \text {. }$$

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Definitions:

Retinal Circadian Rhythms

The biological clock present in the retinal cells that regulates various physiological and behavioral rhythms based on light-dark cycles.

Body Temperature Rhythms

The natural fluctuations in body temperature throughout the day, typically regulated by the body's internal clock or circadian rhythm.

Hypersomnulence

Excessive sleepiness, even after adequate or prolonged nighttime sleep, that can significantly disrupt daily activities.

Falls Asleep

The transition from wakefulness into sleep, a natural periodic state of rest for the mind and body.