Question

A simple random sample of size 64 is drawn from a normal population with a known...

A simple random sample of size 64 is drawn from a normal population with a known standard deviation σ. The 95% confidence interval for the population mean μ is found to be (12, 16). The approximate population standard deviation σ is:

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

Margin of error = Width of confidence interval / 2

= ( 16 - 12) / 2

= 2

Margin of error = Z/2 * / sqrt(n)

2 = 1.96 * / sqrt( 64)

= 0.49

Add a comment
Know the answer?
Add Answer to:
A simple random sample of size 64 is drawn from a normal population with a known...
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 from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 107 , and the sample standard deviation, s, is found to be 10 .(a) Construct a 98 % confidence interval about μ if the sample size, n, is 22 .(b) Construct a 98 % confidence interval about μ if the sample size, n, is 12 .(c) Construct a 95 % confidence interval about μ if the...

  • A simple random sample of size n is drawn from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar x​, is found to be 108​, and the sample standard​ deviation, s, is found to be 10.    ​(a) Construct a 95​% confidence interval about mu μ if the sample​ size, n, is 12.    ​(b) Construct a 95​% confidence interval about mu μ if the sample​ size, n, is 23. ​ (c) Construct a a 96 96​% confidence...

  • A simple random sample of size n is drawn from a population that is normally distributed

    A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x̅, is found to be 109 , and the sample standard deviation, 5 , is found to be 12 .(a) Construct a 96 % confidence interval about μ if the sample size, n, is 23 .(b) Construct a 96 % confidence interval about μ if the sample size, n, is 16 .(c) Construct a 90 % confidence interval about μ if...

  • a simple random sample of size n = 16 is drawn from a population that is...

    a simple random sample of size n = 16 is drawn from a population that is normally distributed. The sample mean is found to be x = 50 and the standard deviation is found to be s = 11. Construct a 95% confidence interval about the populatio nmean

  • Please show all work!!! 11.* A random sample of size n 64 is drawn from a...

    Please show all work!!! 11.* A random sample of size n 64 is drawn from a population with mean μ and standard deviation σ. The mean and standard deviation of the sample are X = 308.9 and s 31.9 a. Find a 90%confidence interval for the mean μ. Interpret this interval. b. Find a 95%confidence interval for the mean μ. Interpret this interval. c. Find a 99%confidence interval for the mean μ. Interpret this interval. d. Compare the widths of...

  • A simple random sample of size n is drawn from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 108​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95​% confidence interval about mu if the sample​ size, n, is 25. ​(b) Construct a 95​% confidence interval about mu if the sample​ size, n, is 12. ​(c) Construct a 70​% confidence interval about mu if the sample​ size, n,...

  • A simple random sample of size n is drawn from a population that is normally distributed....

    A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar x​, is found to be 107​, and the sample standard​ deviation, s, is found to be 10. (a) Construct a 98​% confidence interval about mu μ if the sample​ size, n, is 18.    (b) Construct a 98​% confidence interval about mu μnif the sample​ size, n, is 12. c) Construct a 96​% confidence interval about mu μ if...

  • A simple random sample of size nequals16 is drawn from a population that is normally distributed....

    A simple random sample of size nequals16 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals 54 and the sample standard deviation is found to be s=12. Construct a 90​% confidence interval about the population mean.

  • A simple random sample of size n equals = 18 is drawn from a population that is normally distributed. The sample mean is...

    A simple random sample of size n equals = 18 is drawn from a population that is normally distributed. The sample mean is found to be x overbar equals 54 and the sample standard deviation is found to be s equals = 19 Construct a 95​% confidence interval about the population mean. The 95​% confidence interval is ​( _____ ​, _____ ​). ​(Round to two decimal places as​ needed.)

  • A simple random sample of size n = 20 is drawn from a population that is...

    A simple random sample of size n = 20 is drawn from a population that is normally distributed. The sample mean is found to be x = 66 and the sample standard deviation is found to be s = 10. Construct a 90​% confidence interval about the population mean.

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
Active Questions
ADVERTISEMENT