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A group of students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. Use a 0.01 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. Does it appear that students are reasonably good at estimating one minute? $$\begin{array}{lllllllllllllll} 76 & 93 & 47 & 76 & 48 & 35 & 72 & 70 & 77 & 59 & 74 & 80 & 102 & 95 & 71 \end{array}$$
Assuming all conditions for conducting a hypothesis test are met, what are the null and alternative hypotheses? A. $\mathrm{H}_{0}: \mu=60$ seconds B. $H_{0}: \mu=60$ seconds $H_{1}: \mu>60$ seconds $H_{1}: \mu \neq 60$ seconds C. $\mathrm{H}_{0}: \mu=60$ seconds D. $H_{0}: \mu \neq 60$ seconds $\mathrm{H}_{1}: \mu<60$ seconds $H_{1}: \mu=60$ seconds
Determine the test statistic. (Round to two decimal places as needed.) Determine the P -value. (Round to three decimal places as needed.) State the final conclusion that addresses the original claim.