Question

Suppose that we must choose 5 addresses out of 125. Because 125/5 = 25, we can think of the list as five lists of 25 addresses. Choose one of the first 25 at random, (a) using R Studio. The sample contains this address and the addresses 25,50,75,and 100 places down the list from it. If 13 is chosen, then the systematic random sample consists of the addresses numbered 13,38,63,88, and 113. Hint: Create a variable called ID which includes values 1 through 125. Then use the command "sample(1:25,1)" to obtain the first address.

Answer 1

A systematic random sample in R Studio involves selecting a starting point using the sample command and then choosing every kth element from that point on.

Step-by-step explanation:

In a systematic random sampling, we start with a random starting point and then select every kth element in the population. In the context of using R Studio to perform this task, we can create a variable ID that includes numbers 1 through 125 to represent addresses. Then, by running the sample(1:25,1) command, we can randomly select one of the first 25 addresses.

For instance, if we wish to select an address and then every 25th address after that, and we randomly select address number 13, our systematic sample would consist of the addresses numbered 13, 38, 63, 88, and 113. This methodology ensures that our selection is evenly spread across the population and reduces the risk of any bias that might result from selecting addresses that are grouped closely together.