A company that makes robotic vacuums claims that their newest model of vacuum lasts, on average, two hours when starting on a full charge. To investigate this claim, a consumer group purchases a random sample of five vacuums of this model. They charge each unit fully and then measure the amount of time each unit runs. Here are the data (in hours): 2.2, 1.85, 2.15, 1.95, and 1.90. They would like to know if the data provide convincing evidence that the true mean run time differs from two hours. The consumer group plans to test the hypotheses H0: μ = 2 versus Ha: μ ≠ 2, where μ = the true mean run time for all vacuums of this model. The conditions for inference are met. What are the appropriate test statistic and P-value? t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartFraction 0.893 Over StartRoot 5 EndRoot EndFraction EndEndFraction. The P-value is greater than 0.25.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is less than 0.0005.
t = StartStartFraction 2.01 minus 2 OverOver StartRoot StartFraction 0.893 (1 minus 0.893) Over 5 EndFraction EndRoot EndEndFraction. The P-value is greater than 0.25.