Repeated Systematic Sampling worksheet

Name_Meghann Britton____________________________________

The file repeated sys sampling contains information about a population with 100 total elements. We are going to use the repeated systematic sampling strategy to get 5 different systematic samples (ns = 5). Use this information and the data set to answer the questions below.

If we want a total sample size of 10, we should do a 1-in-k’ strategy. What is the value of k’ (show work)?

k’=100/10=10
1 in 10 systematic sample

Use the following random numbers to start the 5 different systematic samples and write the ID labels for each sample below:

Sample 1 starts at 1, so use labels:107
Sample 2 starts at 2, so use labels:60
Sample 3 starts at 3, so use labels:90
Sample 4 starts at 9, so use labels:59
Sample 5 starts at 20, so use labels:87

Write the actual sample values below:

Sample one (1) Sample two (2) Sample three (3) Sample four (9)
107 60 90 59
Sample five (20)
87

Use this information to calculate y-bari, mu-hat and the estimated variance of mu-hat. Show all calculations below.
y-bar=
mu-hat=107+60+90+59+87=403/5=80.6
Var(mu-hat)=(1-10)/100)*s^2/10=

Now calculate the total with its corresponding estimated variance.
calculate y-bari, mu-hat and the estimated variance of mu-hat. Show all calculations below.
y-bar=
mu-hat=107+60+90+59+87=403/5=80.6
Var(mu-hat)=(1-10)/100)*s^2/10=

Now calculate the total with its corresponding estimated variance.
ng strategy to get 5 different systematic samples (ns = 5). Use this information and the data set to answer the questions below.

If we want a total sample size of 10, we should do a 1-in-k’ strategy. What is the value of k’ (show work)?

k’=100/10=10
1 in 10 systematic sample

Use the following random numbers to start the 5 different systematic samples and write the ID labels for each sample below:

Sample 1 starts at 1, so…