Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 6 - Normal Probability Distributions - 6-4 Sampling Distributions and Estimators - Basic Skills and Concepts - Page 281: 4



Work Step by Step

For the mean, the sampling distribution is basically a normal distribution with standard deviation $\frac{\sigma}{\sqrt n}$, whereas the found distribution is also basically a normal distribution, but has a standard deviation of $\sigma$. The two distributions have different standard deviations, therefore the answer is no.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.