Consider the following probability distribution. x 2 4 9 p(x) 1/4 1/4 1/2 a.) Find the...
Consider the following probability distribution.
| x | 2 | 4 | 9 |
| p(x) | 1/4 | 1/4 | 1/2 |
a.) Find the sampling distribution for the same mean x (sample statistic) for a random sample of n=3 measurements from this distribution. Put the answers in ascending order for x (sample statistic).
| x | ||||||||||
| p(x) |
Is x an unbiased estimator of the mean?
b.) Find the sampling distribution of the sample median m for a random sample of n=3 measurements from this distribution. Put the answers in ascending order for m.
| M | |||
| p(M) |
Homework Answers
number of samples =3*3*3 =27
thefefore probability of each sample =1/27
a)
| x | 2.00 | 2.67 | 3.33 | 4.00 | 4.33 | 5.00 | 5.67 | 6.67 | 7.33 | 9.00 |
| P(x) | 1/27 | 1/9 | 1/9 | 1/27 | 1/9 | 2/9 | 1/9 | 1/9 | 1/9 | 1/27 |
b)
| x | 2.00 | 4.00 | 9.00 |
| P(x) | 7/27 | 13/27 | 7/27 |
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Part B
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