A Researcher Wants to Know If Mood Is Affected by Music

question 47

Multiple Choice

A researcher wants to know if mood is affected by music. She conducts a test on a sample of 4 randomly selected adults and measures mood rating before and after being exposed to classical music. Test the hypothesis that mood rating improved after being exposed to classical music. Following are the mood ratings for the four participants: Assume that all conditions for testing have been met. Report the null and alternative hypothesis and p- value. At the 5% significance level, state your decision regarding the null hypothesis and your conclusion about the original claim. Round all values to the nearest thousandth.

• A)H0: µ1 = µ2, Ha: µ1 × µ2; p = 0.008; Fail to reject the null hypothesis; there is not strong evidence to suggest that exposure to classical music improved mood rating.
• B)H0: µdifference = 0, Ha: µdifference < 0; p = 0.008; Reject the null hypothesis; there is strong evidence to suggest that exposure to classical music improved mood rating.
• C)H0: µ1 = µ2, Ha: µ1 < µ2; p = 0.077; Fail to reject the null hypothesis; there is not strong evidence to suggest that exposure to classical music improved mood rating.
• D)H0: µdifference = 0, Ha: µdifference > 0; p = 0.922; Fail to reject the null hypothesis; there is not strong evidence to suggest that exposure to classical music improved mood rating.

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Definitions:

Night Terror

A sleep disorder causing feelings of panic or dread, typically occurring during non-REM sleep and often unremembered.

REM Sleep

A phase of sleep characterized by rapid eye movements and brain activity similar to being awake, often associated with vivid dreaming.

Nightmare

A disturbing dream associated with negative feelings, such as fear or horror, which can awake a person.

Parasomnias

Sleep disturbances in which behaviors and physiological states that normally take place only in the waking state occur while a person is sleeping.