Problem-Solving and Data AnalysisMediumPlausible values inside an interval
Problem-Solving and Data Analysis practice question
A survey of a random sample of a town's households estimates that the mean number of hours of television watched per week is 42, with a margin of error of 6 hours. Which of the following is a plausible value for the mean number of hours watched per week by ALL households in the town?
- A. 45Correct
- B. 30
- C. 50
- D. 6
Answer: A. 45
The interval is 42 ± 6, from 36 to 48. Of the choices only 45 lies inside it.
Why the other answers are wrong
- B. 30
- 30 is below the interval's lower end of 36.
- C. 50
- 50 is above the upper end of 48.
- D. 6
- 6 is the margin of error, not a plausible mean.
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