Three statistics students are having a discussion aboutselecting the appropriate distribution for a data set. Explain whyyou agree or disagree with each student and give your ownsuggestion for the approach the students should take.
Maya: Maya arguesthat since the students don’t know what the population data lookslike they should simply use the sample probability massdistribution as their population mass distributions.
Greg: Greg says thatthe sample probability mass distribution is oddly shaped and willalmost certainly not be the same as the population massdistribution function. He suggests that it’s best to find a matchfrom the common probability mass functions that the students knowabout.
Jane: Jane arguesthat both Greg and Maya’s approach could introduce unknown errorinto the analysis that they are performing. She reasons that aslong as there is going to be error, the students should try bothapproaches and choose the one that produces the results that theywould most like to see.
