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Mean Absolute Deviation Is the mean absolute deviation of
Chapter 6, Problem 20BSC(choose chapter or problem)
Problem 20BB
Mean Absolute Deviation Is the mean absolute deviation of a sample a good statistic for estimating the mean absolute deviation of the population? Why or why not? (Hint: See Example 1.)
Example 1 Sampling Distribution of the Sample Range
Questions & Answers
QUESTION:
Problem 20BB
Mean Absolute Deviation Is the mean absolute deviation of a sample a good statistic for estimating the mean absolute deviation of the population? Why or why not? (Hint: See Example 1.)
Example 1 Sampling Distribution of the Sample Range
ANSWER:
Problem 20BB
Answer:
Step1 of 4:
We have sample size n = 2 randomly selected from population s = {2,3,10} that is sample size
n = 2 and population size N = 3.
Step2 of 4:
We need to check Is the mean absolute deviation of a sample a good statistic for estimating the mean absolute deviation of the population? Why or why not?
Step3 of 4:
Consider,
S = {2,3,10}
The MAD of the population is 3.33, as illustrated by the table below.
x |
|
2 |
3 |
3 |
2 |
10 |
5 |
1).
=
= 5
2).MAD =
=
= 3.3333
Step4 of 4:
Consider,
Sample |
|
MAD |
|