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Business Statistics - STA 2023

Ms. Laura Reisert Instructor


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Chapter 5-A Supplelmentary Exercises

Consider the following probability distribution: x p(x)
  0 .9
  5 .1

Suppose an experiment consists of taking a random sample of three measurements from this population. The sample mean, sample median, and sample variance are calculated from each sample and the sampling distribution of each statistic is constructed.

sample prob sample mean sample median sample variance
0 0 0 .729 0 0 0
0 0 5 .081 5/3 0 25/3
0 5 0 0.81 5/3 0 25/3
5 0 0 .081 5/3 0 25/3
0 5 5 .009 10/3 5 25/3
5 0 5 .009 10/3 5 25/3
5 5 0 .009 10/3 5 25/3
5 5 5 .001 5 5 0

x p(x)   m p(m)   s^2 p(s^2)
0 .729   0 .972   0 .730
5/3 .243   5 .028   25/3 .270
10/3 .027            
5 .001            
            S2 p(S2)