Suppose that you are constructing a survey of average student loan debt. You decide that instead of sampling 50 students, you are going to sample 75 students. When you do this, the a. standard error of the mean decreases O b. population mean increases O c. standard deviation of the population decreases d. standard error of the mean increases

Emmy Swanson

Emmy Swanson

Answered question

2022-10-13

Suppose that you are constructing a survey of average student loan debt. You decide that instead of sampling 50 students, you are going to sample 75 students. When you do this, the
a. standard error of the mean decreases O
b. population mean increases O
c. standard deviation of the population decreases
d. standard error of the mean increases

Answer & Explanation

Hilfeform5c

Hilfeform5c

Beginner2022-10-14Added 14 answers

Formula for standard error of mean is,
SE = Population standard deviation sample size
For sample size 50, the standard error is,
SE = Population standard deviation 50 = 0.1414
For sample size 75, the standard error is,
SE = Population standard deviation 75 = 0.1155
In the given situation, the sample size is increased form 50 to 75.
The corresponding standard errors are decreased by changing the sample size form 50 to 75.
Correct option: option a.

Do you have a similar question?

Recalculate according to your conditions!

New Questions in College Statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?