Question

Why does the standard error of the mean decrease as the sample size, n, increases?

Why does the standard error of the mean decrease as the sample size, n, increases?

0 0
Add a comment Improve this question Transcribed image text
Answer #1

definition of standard error is :

standard error-σ n

so if the sample size (n) increases it will reduce the ERROR

hope this helps, please upvote

Add a comment
Know the answer?
Add Answer to:
Why does the standard error of the mean decrease as the sample size, n, increases?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • A simple random sample of size n is drawn. The sample mean, x, is found to...

    A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 35. Lower bound: :Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample size,...

  • As sample size increases, the standart error of mean. a. also increases b. decreases c. stay...

    As sample size increases, the standart error of mean. a. also increases b. decreases c. stay constant

  • What happens to the mean and standard deviation of the distribution of sample means as the size of the sample decreases?

    47. What happens to the mean and standard deviation of the distribution of sample means as the size of the sample decreases? A) The mean of the sample means stays constant and the standard error decreases. B) The mean of the sample means increases and the standard error stays. C) The mean of the sample means decreases and the standard error increases. D) The mean of the sample means stays constant and the standard error increases. 48. Find the critical value ze that corresponds to...

  • A simple random sample of size n is drawn. The sample mean, , is found to...

    A simple random sample of size n is drawn. The sample mean, , is found to be 19.2, and the sample standard deviation, s, is found to be 4.6. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 35. Lower bound: I; Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if...

  • A simple random sample of size n is drawn. The sample mean, X, is found to...

    A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found to be 4.8. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about us if the sample size, n, is 34. Lower bound: upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample...

  • A simple random sample of size n is drawn. The sample mean, x, is found to...

    A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution. OC. The margin of error decreases. (c) Construct a 99% confidence interval about if the sample size, n, is 35. Lower bound: 17.14; Upper bound: 21.66 (Use ascending order. Round to two decimal places as needed.) Compare the results...

  • A simple random sample of size n is drawn. The sample​ mean,x overbarx​, is found to...

    A simple random sample of size n is drawn. The sample​ mean,x overbarx​, is found to be 17.8 and the sample standard​ deviation, s, is found to be 4.4 ​(a) Construct a 95% confidence interval about μ if the sample​ size, n, is 35 Lower​ bound: ____ Upper​ bound: ______ ​(Use ascending order. Round to two decimal places as​ needed.) (b) Construct a 95% confidence interval about μ if the sample​ size, n, is 51 Lower​ bound: ____ Upper​ bound:...

  • A simple random sample of size n is drawn. The sample mean, x, is found to...

    A simple random sample of size n is drawn. The sample mean, x, is found to be 19.2, and the sample standard deviation, s, is found to be 4.9. Click the icon to view the table of areas under the t-distribution (a) Construct a 95% confidence interval about ju if the sample size, n, is 34. Lower bound: upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about u if the...

  • 11. A simple random sample of size n is drawn. The sample mean, X, is found...

    11. A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found to be 4.5. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about if the sample size, n, is 34. Lower bound: : Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the...

  • o be 4.5. A simple random sample of size n is drawn. The sample mean, X,...

    o be 4.5. A simple random sample of size n is drawn. The sample mean, X, is found to be 17.9, and the sample standard deviation, s, is found Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about H if the sample size, n, is 35. Lower bound: Upper bound: (Use ascending order. Round to two decimal places as needed.) (b) Construct a 95% confidence interval about if the sample...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT