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PLEASE HELP FAST!!! IT IS URGENT!!

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 H: H = 2 versus Ha: µ #2, where u = the true mean run time for all vacuums of this model. The conditions for inference are met. The test statistic is t = 0.14 and the P-value is greater than 0.25. What conclusion should be made at the significance level, α = 0.01?
A.Reject H. There is convincing evidence that the true mean run time for all vacuums of this model is different from 2 hours.
B. Reject H. There is not convincing evidence that the true mean run time for all vacuums of this model is different from 2 hours.
C.Fail to reject H. There is convincing evidence that the true mean run time for all vacuums of this model is different from 2 hours.
D.Fail to reject H. There is not convincing evidence that the true mean run time for all vacuums of this model is different from 2 hours.​

User Gaurav
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1 Answer

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Since the P-value is greater than 0.25, which is higher than the significance level α = 0.01, we fail to reject the null hypothesis. Therefore, we do not have convincing evidence that the true mean run time for all vacuums of this model is different from 2 hours. The correct answer is D.
User Jimenez
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