[ww-bugs] Bug 4104: New: question makes no sense

bugzilla-daemon at webwork.maa.org bugzilla-daemon at webwork.maa.org
Thu Mar 29 11:50:41 EDT 2018


http://bugs.webwork.maa.org/show_bug.cgi?id=4104

           Summary: question makes no sense
           Product: Problem Libraries
           Version: unspecified
          Platform: PC
               URL: /opt/webwork/courses/MATH2441/templates/Library/NAU/se
                    tStatistics/central_limit_theorem1.pg_with_problemSeed
                    =1234
        OS/Version: Linux
            Status: NEW
          Severity: normal
          Priority: P5
         Component: Library (OPL)
        AssignedTo: gjennings at csudh.edu
        ReportedBy: wub7quxa at gmail.com
        Web browser Firefox
           version:


This question makes no sense to me. According to the Central Limit Theorem for
sample proportions, sample proportions are approximately normally distributed
for n sufficiently large with mu_phat=p and sigma_phat=sqrt((p*(1-p))/n). The
question specifies n, one particular phat (sample proportion), a standard
deviation for sample proportions an then asks how n must be changed to achieve
a different standard deviation for the sample proportions. That makes no sense.
Given n and the standard deviation, I would be able to calculate the population
proportion given the CLT formula above. But the values in the question are
randomly chosen so that the quadratic equations don't necessarily have a
solution -- and the specific sample proportion provided in the question is an
irrelevant distraction. I don't see a way to salvage this problem. It should be
deleted from the OPL.

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