Suppose a Consumer Product Researcher Wanted to Find Out Whether

question 1

Multiple Choice

Suppose a consumer product researcher wanted to find out whether a highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours. The researcher tested 40 highlighters and recorded the number of continuous hours each highlighter wrote before drying up. Test the hypothesis that the highlighters wrote for less than 14 continuous hours. Following are the summary statistics: x =13.6 hours, s =1.3 hours
Report the test statistic, p- value, your decision regarding the null hypothesis, and your conclusion about the original claim. Round all values to the nearest thousandth.

• A)z = 1.946; p = 0.974; Fail to reject the null hypothesis; there is not strong evidence to suggest that the highlighters last less than 14 hours.
• B)z = 1.946; p = 0.029; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last less than 14 hours.
• C)t = - 1.946; p = 0.029; Fail to reject the null hypothesis; there is not strong evidence to suggest that the highlighters last less than 14 hours.
• D)t = - 1.946; p = 0.029; Reject the null hypothesis; there is strong evidence to suggest that the highlighters last less than 14 hours.

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Definitions:

Random Sample

A subset of individuals chosen from a larger set, where each individual has an equal chance of being selected.

Large-Sample Z

A statistical test used to infer that the means of two populations are equal when the sample size is large and the population variance is known.

Major Defects

Significant problems or imperfections observed in products or process outputs that typically require correction or significantly affect usability.

Hypotheses

Proposed explanations made on the basis of limited evidence as a starting point for further investigation, often framed as predictions to be tested by scientific experiments.