Question

4. A population of size 200 consists of two strata, I and II. A simple random...

4. A population of size 200 consists of two strata, I and II. A simple random sample of size 40 is drawn without replacement from the population. (1) Suppose that strata I and II are of sizes 85 and 115 respectively. Let T be the number of selected individuals from stratum I. What is the probability distribution of T?

(2) For Question (1), find the expectation and variance of T.

(3) Suppose that you did not know the size of stratum I or II, and suppose that 18 of the 40 selected individuals were from stratum I and 22 were from stratum II. What would be your confidence interval for estimating the size of stratum I?

(4) For Question (3), what would be your confidence interval for estimating the size of stratum II?

Homework Answers

Answer #1

thank you

Know the answer?
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
Similar Questions
A simple random sample of size n is drawn from a population that is known to...
A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance is determined to be 20. a) Construct a 95% confidence interval for σ² if the sample size is 40. b) How does increasing the level of confidence affect the width of the confidence interval?
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, overbar x​, is found to be 115​, 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 20. ​(b) Construct a 98​% confidence interval about μ if the sample​ size, n, is 25. ​(c) Construct a 99​% confidence interval about μ 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​, is found to be 115​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 98​% confidence interval about mu if the sample​ size, n, is 16. ​(b) Construct a 98​% confidence interval about mu if the sample​ size, n, is 20. ​(c) Construct a 99​% confidence interval about mu if the sample​ size, n,...
A simple random sample is drawn from a population for estimating the mean of the population....
A simple random sample is drawn from a population for estimating the mean of the population. The mean from the sample is 25.6 and the sample size is 60.\ 1. If the population standard deviation is known to be 10.5, construct a 95% confidence interval for the population mean. 2. If the population standard deviation is not known but the sample standard deviation is calculated to be 11.5, construct a 95% confidence interval for the population mean. 3. Do we...
A simple random sample size of 40 is drawn from a population. The sample mean is...
A simple random sample size of 40 is drawn from a population. The sample mean is found to be x overbar equals 120.1x=120.1 and the sample standard deviation is found to be s equals 12.8s=12.8. Construct a​ 99% confidence interval for the population mean.
A simple random sample of size n equals 40 is drawn from a population. The sample...
A simple random sample of size n equals 40 is drawn from a population. The sample mean is found to be x overbar equals 120.2 and the sample standard deviation is found to be s equals 13.2. Construct a​ 99% confidence interval for the population mean.
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, is found to be 113, and the sample standard deviation, s, is found to be 10. ​(a) Construct a 90​% confidence interval about μ if the sample​ size, n, is 22. ​(b) Construct a 90​% confidence interval about μ if the sample​ size, n, is 15. ​(c) Construct an 80​% confidence interval about μ if the sample​ size, n, is...
A simple random sample of size n = 14 is drawn from a population that is...
A simple random sample of size n = 14 is drawn from a population that is normally distributed. The sample mean is found to be x = 56 and the sample standard deviation is found to be s = 11. Construct a 90​% confidence interval about the population mean. The 90​% confidence interval is ​
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 105​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 90​% confidence interval about mu if the sample​ size, n, is 24. ​(b) Construct a 90​% confidence interval about mu if the sample​ size, n, is 20. ​(c) Construct an 80​% 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​, is found to be 115​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95​% confidence interval about μ if the sample​ size, n, is 22. ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 12. ​(c) Construct a 90​% confidence interval about μ if the sample​ size, n, is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT