State University Recently Randomly Sampled Ten Students and Analyzed Grade

question 129

True/False

State University recently randomly sampled ten students and analyzed grade point average (GPA)and number of hours worked off-campus per week.The following data were observed:
If the university wished to test the claim that the correlation between hours worked and GPA is negative,the following null and alternative hypotheses would be appropriate:
H₀ : ρ < 0.0
H_a : ρ ≥ 0.0

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Definitions:

Hypocretin

A neurotransmitter also known as orexin, which plays a significant role in regulating wakefulness, arousal, and appetite.

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Narcolepsy

A habitual sleep issue typified by overpowering tiredness in the daytime and sudden bouts of sleep.

Insomnia

A sleep disorder where individuals have difficulty falling asleep, staying asleep, or experience non-restorative sleep, resulting in daytime impairment.