Problem-Solving and Data AnalysisMediumValue outside the plausible range
Problem-Solving and Data Analysis practice question
A random sample of 100 students at a university reported a mean of 7.2 hours of sleep per night, with a margin of error of 0.3 hours. Which of the following is NOT a plausible value for the mean hours of sleep of all students at the university?
- A. 7.6Correct
- B. 7.0
- C. 7.4
- D. 6.95
Answer: A. 7.6
The plausible range is 7.2 ± 0.3, that is, 6.9 to 7.5. Only 7.6 falls outside it.
Why the other answers are wrong
- B. 7.0
- 7.0 is inside 6.9 to 7.5.
- C. 7.4
- 7.4 is inside 6.9 to 7.5.
- D. 6.95
- 6.95 is just inside the bottom of the range, 6.9.
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