Math Solutions

(Solution Library) In (a) - (e) below, you may assume that the data are a simple random sample (or samples) from a normal distribution (or distributions).

Question: (10 points total)

In (a) – (e) below, you may assume that the data are a simple random sample (or samples) from a normal distribution (or distributions).

4a. (2 points) Consider the setting of a single sample of size n=15. Suppose that the variance is NOT known. Suppose further that it is of interest to construct a 90% confidence interval estimate of the population mean μ. What are the values of the confidence coefficients? Hint: This question is asking you to provide the correct percentiles from the correct distribution.

4b. (2 points) For a single sample size n=35 and the estimation of a variance parameter . σ 2

using a 95% confidence interval, what are the values of the confidence coefficients?. Hint: This question is asking you to provide the correct percentiles from the correct distribution.

4c. (2 points) For a single sample size of n=25 and the estimation of the population mean μ when the variance is known using a 80% confidence interval, what are the values of the confidence coefficients? Hint: This question is asking you to provide the correct percentiles from the correct distribution.

4d. (2 points) Next, consider the setting of two independent samples, one with sample size n 1 = 13 and the other with sample size n 2 = 22, and estimation of the difference between the two population means, [ μ 1 - μ 2 ] . Assume that the two population variances are both unknown and unequal. Suppose further that the two sample variances are S 2 1 =2.20 and S 2 2 =0.70. If it is of interest to construct a 95% confidence interval estimate of [ μ 1 - μ 2 ] , what are the values of the confidence coefficients? Hint: This question is asking you to provide the correct percentiles from the correct distribution.

4e. (2 points) Finally, consider again the setting of two independent samples, one with sample size n 1 = 13 and the other with sample size n 2 = 22. Here, however, it is of interest to construct a 90% confidence interval estimate of the ratio of the two population variances,

[ σ 1 2 /σ 2 2 ] . Assume again that the two sample variances are S 2 1 =2.20 and S 2 2 =0.70

What are the values of the confidence coefficients? Hint: This question is asking you to provide the correct percentiles from the correct distribution.

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


∴ Other downloads you may be interested in ∴

log in to your account

Forgot password?
Don't have a membership account?
REGISTER

reset password

Back to
log in

sign up

Back to
log in