Suppose a Consumer Product Researcher Wanted to Find Out Whether $$\bar { x } = 415 \text { pages, } s = 30 \text { pages }$$

question 46

Essay

Suppose a consumer product researcher wanted to find out whether a printer ink cartridgelasted longer than the manufacturer's claim that their ink cartridges could print 400 pages.The researcher tested 40 ink cartridges and recorded the number of pages that wereprinted before the ink started to fade. Test the hypothesis that the ink cartridges lasted formore than 400 pages. Following are the summary statistics:
$$\bar { x } = 415 \text { pages, } s = 30 \text { pages }$$ Be sure to report the null and alternative hypothesis, test statistic, p-value, your decisionregarding the null hypothesis, and your conclusion about the original claim. Round allvalues to the nearest thousandth.

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Definitions:

Client-Centred Therapy

A counseling approach developed by Carl Rogers that focuses on the individual's subjective view of the world, emphasizing unconditional positive regard, empathy, and congruence in the therapeutic relationship.

Major Role

A primary or essential function, position, or part played by something or someone in a particular context or system.

Repressed Childhood Conflicts

Traumatic or anxiety-inducing experiences from one's childhood that are unconsciously blocked from conscious memory.

Client-Centred Therapy

A humanistic approach to psychotherapy developed by Carl Rogers, emphasizing an individual's capacity for self-healing and personal growth in a supportive environment.