Problem-Solving and Data AnalysisEasy–MediumInterval from an estimate and margin
Problem-Solving and Data Analysis practice question
A random sample of a hotel's guests gives an estimated mean stay of 6.2 nights with a margin of error of 0.4 nights. Which of the following is the interval of plausible values for the mean stay of ALL the hotel's guests?
- A. 5.8 to 6.6 nightsCorrect
- B. 6.2 to 6.6 nights
- C. 5.8 to 6.2 nights
- D. 2.2 to 10.2 nights
Answer: A. 5.8 to 6.6 nights
The interval is the estimate ± the margin: 6.2 − 0.4 = 5.8 up to 6.2 + 0.4 = 6.6.
Why the other answers are wrong
- B. 6.2 to 6.6 nights
- 6.2 to 6.6 uses the margin only above the estimate.
- C. 5.8 to 6.2 nights
- 5.8 to 6.2 uses it only below.
- D. 2.2 to 10.2 nights
- 2.2 to 10.2 uses a margin of 4, ten times too large.
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