In this assignment we’ll illustrate the idea of a sampling distribution in the c
ID: 3277321 • Letter: I
Question
In this assignment we’ll illustrate the idea of a sampling distribution in the case of a very small sample from a very small population.
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.
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)
Find the mean age, µ, and the standard deviation, , of this population.
µ = _50.83_____________
= _8.17_____________
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:
indavidual 1 2 3 4 5 6 ages 37 50 45 59 53 61Explanation / Answer
The samples are drawn with simple random sampling without replacement . The samples and their corresponding means are given in the following table :
Sample Mean ( 61 , 59 , 37 ) 52.3333 (45 , 59 , 50 ) 51.3333 ( 37 , 45 , 50 ) 44 ( 50 , 61 , 59 ) 56.6667 ( 53 , 37 , 45 ) 45 ( 53 , 50 , 45 ) 49.3333 ( 50 , 45 , 53 ) 49.3333 ( 61 , 37 , 53 ) 50.3333 ( 61 , 37 , 59 ) 52.3333 ( 50 , 61 , 45 ) 52