Sony Would Like to Test the Hypothesis That the Average

question 32

Multiple Choice

Sony would like to test the hypothesis that the average age of a PlayStation user is different from the average age of an Xbox user. A random sample of 36 PlayStation users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set α = 0.10. Which one of the following statements is true?

• A)Because the 90% confidence interval does not include zero, we fail to reject the null hypothesis and can conclude that the average age of PlayStation users is different from the average age of Xbox users.
• B)Because the 90% confidence interval does not include zero, we reject the null hypothesis and can conclude that the average age of PlayStation users is different from the average age of Xbox users.
• C)Because the 90% confidence interval includes zero, we fail to reject the null hypothesis and cannot conclude that the average age of PlayStation users is different from the average age of Xbox users.
• D)Because the 90% confidence interval includes zero, we fail to reject the null hypothesis and conclude that the average age of PlayStation users is equal to the average age of Xbox users.

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Definitions:

Primary Circular Reactions

Repetitive actions or behaviors in infants focused on their own body, observed as a foundational stage in the development of cognitive skills.

Mirror Neurons

A type of brain cell that responds equally when an individual performs an action or when they observe another individual performing the same action.

Motor Act

A physical action resulting from the contraction of muscles, often in response to stimuli, involving movement or manipulation of the environment.

Emotions

Complex psychological states that involve physiological arousal, expressive behaviors, and conscious experience.