Suppose our population is the numbers 1, 2, 3, 4, 5, 6, each of which has probability 1/6 of occurring. A physical randomization device (a die) gives the following sample of size 10.
1
3
1
5
6
3
1
3
3
2
What is the sample mean?
What is the sampling error?
For expediency, combine the sample of size 10 above with an additional 20 rolls recorded here:
3
1
2
2
3
1
1
1
4
5
4
2
5
3
2
6
3
3
3
1
What is the mean of the sample of size 30?
What is the sampling error from the sample of size 30?
Do you think that this random sampling method is giving a simple random sample from this
population? Why or why not?