Suppose a Consumer Product Researcher Wanted to Find Out Whether $$\bar { x } = 13.6 \text { hours, } s = 1.3 \text { hours }$$

question 31

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: $$\bar { x } = 13.6 \text { hours, } s = 1.3 \text { hours }$$ 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) \(\mathrm { z } = 1.946 ; \mathrm { p } = 0.974\); Fail to reject the null hypothesis; there is not strong evidence to suggest that the highlighters last less than 14 hours.
• B) \(z = 1.946 ; \mathrm { p } = 0.029\); 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.

---

Definitions:

Human Chorionic Gonadotropin (hCG)

A hormone produced in pregnancy that is made by the embryo soon after conception.

Crystal Violet

A triarylmethane dye used in microbiology to stain cells, particularly in the Gram staining procedure to identify and classify bacteria.

Primary Dye

A basic colorant used in staining or coloring materials, essential for establishing the base color in various applications.