Question

12. Assume that a sample is used to estimate a population mean. Use the given confidence level and Sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. Round your answer to one more decimal place then the sample standard deviation.
95% confidence; n=21; x=0.16; s=0.16
I know the answer is 0.073, please explain how to get there.

Answer 1

Step-by-step explanation:

Margin of error = critical value × standard error

ME = CV × SE

At 95% confidence and 20 degrees of freedom, CV = 2.086.

SE = s / √n

SE = 0.16 / √21

SE = 0.035

So the margin of error is:  

ME = 2.086 × 0.035

ME = 0.073