Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.

? asked in Science & MathematicsMathematics · 2 years ago

Which sample should have an average shoe size that is closest to the population mean?

Attachment image

1 Answer

Relevance
  • 2 years ago

    The scanned question begins by asking for a comparison of two samples differing by just one known criterion, sample size. Then we are presented a multiple choice questionnaire which asks for both the comparison answer and also for speculation concerning the adequacy of the best of the possible samples for inferring the mean shoe size of the population. It seems to me that the four choices are from two separate questions. Another difficulty with the question as given here is that "the population" remains undefined. Is "the population" the same as the people present in the terminal? in the airport? in the metropolitan area? The people in airport would be a poor subpopulation to sample shoe sizes for estimating the mean shoe size for a population that includes as many children as would be present in a metropolitan area. But I notice that the collected data are "men's shoe sizes." I infer that "the population" is some group of men. Still, do men flying out of an airport have the same mean shoe size as the has the larger population of men in a metropolitan area? On the other hand, if "the population" is the same as the men in a single airport terminal, and there were 14 men in the first terminal and 4,043 men in the second, then the sample of 14 men's shoe sizes is large enough to make an inference about the mean shoe size of that population, while the adequacy of the 43-man sample depends on the required confidence level.

Still have questions? Get your answers by asking now.