10
QuizMultiple Choice

Testing Claims about Means — Test

Question 10 • Statistics

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 point 2 comma 1 point 8 5 comma 2 point 1 5 comma 1 point 9 5 , and 1 point 9 0 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 ratio of cap h sub 0 to mu is equal to 2 versus ratio of cap h sub A to mu is not equal to 2 , where mu is equal to the true mean run time for all vacuums of this model. Are the conditions for inference met?

Answer
A
No, the 10 percent condition is not met.
B
No, the Normal/large sample condition is not met.
C
Yes, all conditions for inference are met.
D
No, the random condition is not met.
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A company that makes robotic vacuums claims that…