The population will be the ages of six people from your family or friends. The p
ID: 3170944 • Letter: T
Question
The population will be the ages of six people from your family or friends. The parameter of interest will be the mean age, µ, of this population. First, identify the six people in your family or friend groups and record their ages. Then follow the steps below to generate a sampling distribution and answer the questions.
1. Record the data of your population in the table below. (i.e. the ages of the 6 people in your family or friends. Population size is N=6)
Individual
1
2
3
4
5
6
Age
35
33
31
25
15
8
2. Find the mean age, µ, and the standard deviation, , of this population. µ = ______________ = ______________
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,
1.
1 =
2.
2 =
3.
3 =
4.
4 =
5.
5 =
6.
6 =
7.
7 =
8.
8 =
9.
9 =
10.
10 =
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: _______
Individual
1
2
3
4
5
6
Age
35
33
31
25
15
8
Explanation / Answer
Answer:
Mean = (35 + 33 + 31 + 25 + 15 + 8)/6 = 147/6 = 24.5
Variance = (110.25 + 72.5 + 42.5 + 0.5 + 90.25 + 272.25)/6 = 588.25/6 = 98.04
Standard Deviation = 9.9
Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.