The purpose and intent of the assignment is to help you better understand the sampling distribution of the mean. The class sampling exercise In class we conducted a sampling exercise. The population consisted of 25 elements. The possible values for the elements in the population ranged from 1 to 9 and were distributed as follows: Value Frequency Proportion Percentage
The purpose and intent of the assignment is to help you better understand the sampling distribution of
the mean.
The class sampling exercise
In class we conducted a sampling exercise.
The population consisted of 25 elements.
The possible values for the elements in the population
follows:
Value Frequency Proportion Percentage
1 1 0.04 4%
2 2 0.08 8%
3 3 0.12 12%
4 4 0.16 16%
5 5 0.2 20%
6 4 0.16 16%
7 3 0.12 12%
8 2 0.08 8%
9 1 0.04 4%
As in the class exercise, 10 elements are drawn replacing each element before the next is drawn.
This was done 1000 times.
The data set is given in a separate spreadsheet and consists of the numbers drawn for these 1000 draws
in the order in which these were drawn. Each line can be considered a
With all calculations, include the formula that you used.
Using Excel, compute the mean and standard deviation for each of the samples. Each sample will
have a mean and a standard deviation.
18. What, theoretically, would be the highest sample standard deviation that could ever be
observed?
19. What was the highest sample standard deviation actually observed?
20. What, theoretically, would be the smallest sample standard deviation that could ever be
observed?
21. What was the smallest sample standard deviation actually observed?
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