Perform a One-Sample Z-Test for a Population Mean Using the P-Value

question 12

Essay

Perform a one-sample z-test for a population mean using the P-value approach. Be sure to state the hypotheses and thesignificance level, to compute the value of the test statistic, to obtain the P-value, and to state your conclusion. Also,assess the strength of the evidence against the null hypothesis.
-In one city, the average amount of time that tenth-graders spend watching television each week is 21.6 hours. The principal of Birchwood High School believes that at his school, tenth-graders watch less television. For a sample of 28 tenth-graders from Birchwood High School, the mean amount of time spent watching television per week was 19.4 hours. Do the data provide sufficient evidence to conclude that for tenth-graders at Birchwood High School, the mean amount of time spent watching television per week is less than the city average of 21.6 hours? Perform the appropriate hypothesis test using a significance level of 5%. Assume that $$\sigma$$ = 7.2 hours.

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Definitions:

Universal Experiences

Phenomena or events that are common and relatable across different cultures and individuals, suggesting a shared aspect of human existence.

Manifest Content

The literal surface content and storyline of a dream, as opposed to its latent content or underlying meaning.

Dream

A succession of images, ideas, emotions, and sensations occurring involuntarily in the mind during certain stages of sleep.

Repressed Impulses

Psychological phenomena where desires or emotions are unconsciously hidden to conform to societal expectations or personal ideals.