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A researcher reports that, on average, the participants in his study lost 10.4 pounds after two months on his new diet. A friend of yours comments that she tried the diet for two months and lost no weight, so clearly the report was a fraud. Which of the following statements is correct?

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A researcher reports that, on average, the participants in his study lost 10.4 pounds after two months on his new diet. A friend of yours comments that she tried the diet for two months and lost no weight, so clearly the report was a fraud. Which of the following statements is correct?

(a) Your friend must not have followed the diet correctly, since she did not lose weight.

(b) Since your friend did not lose weight, the report must not be correct.

(c) The report only gives the average. This does not imply that all participants in the study lost 10.4 pounds or even that all lost weight. Your friend’s experience does not necessarily contradict the study results.

(d) In order for the study to be correct, we must now add your friend’s results to those of the study and recompute the new average.

(e) Your friend is an outlier.




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1 Answer

  1. The report only gives the average. This does not imply that all participants in the study lost 10.4 pounds or even that all lost weight. Your friend’s experience does not necessarily contradict the study results.