3. Now, take 10 different random samples of size n= 3 from this population. You

ID: 3171100 • Letter: 3

Question

3. Now, take 10 different random samples of size n= 3 from this population. You can use your calculator (See the instructions in Appendix A at the end of this assignment document) OR use Excel (See the YouTube link in Appendix B) to generate 10 random samples of size 3. Calculate the mean of each sample. List the ages in each sample and their mean in the table below:

Sample Items

Sample means,

35,33,31

1 =33

35,33,25

2 =31

35,33,15

3 =27.66

35,33,8

4 =25.33

35,31,25

5 =30.33

35,31,15

6 =27

35,31,8

7 =24.66

33,31,25

8 =29.66

33,31,15

9 =26.33

10.

33,31,8

10 =24

4. Without actually calculating

i. Predict what the mean of 10 sample means from your table above should be: ________

ii. Predict what the standard deviation of 10 sample means from your table should be: _______

5. You have a distribution of with 10 sample means. Construct a dot plot, a boxplot or a stem plot for this distribution and describe the shape of it. Include your graph here.

6. Using your calculator or Excel, calculate the mean and standard deviation of the 10 sample means in #3 above.

Mean of sample means: _________

Standard deviation of sample means: _________

How are these related to your predictions in #4? __________________________________

How are they related to the population mean, µ, and population standard deviation that you have in #2 above? __________________________________________