Solution:
Option(A) is correct.
Confidence interval (31.25 , 34.35) is correct.
Proof:

Please rating the answer. Thank you!
EN 4) Assume the population is normally distributed and for given n = 20, x =...
[40] QUESTION 4 Assume that X is normally distributed and that a random sample of size n = 20 from this distribution yielded the following statistics: X = 31 and S=7. (a) Is there strong evidence to conclude that Ho : q2 = 30 against H:02 #30 at the a = 0.05 level of significance? (b) Construct a 90% confidence interval for the population standard deviation. [15] [100]
A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 106, and the sample standard deviation, s, is found to be 10. (a) Construct a 90% confidence interval about u if the sample size, n, is 22. (b) Construct a 90% confidence interval about u if the sample size, n, is 27. (c) Construct a 99% confidence interval about u if the sample size, n, is...
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 96 % confidence interval about mu if the sample size, n, is 23. (b) Construct a 96 % confidence interval about mu if the sample size, n, is 11. (c) Construct a 90 % confidence interval about mu...
If X overbar=100, S=30, and n=16, and assuming that the population is normally distributed, construct a 90% confidence interval estimate of the population mean,μ.
simple random sample of size n is drawn from a population that is normally distributed. The sample mean, X. is found to be 111, and the sample standard deviation is found to be 10. a) Construct a 95% confidence interval about if the sample size, n, is 28. b) Construct a 95% confidence interval about if the sample size, n, is 11 c) Construct a 90% confidence interval about if the sample size, n, is 28 ) Could we have...
rom a population that is normally distributed. The sample mean is found to be x-69 and he sample standard deviation is found to be s-12. Construct a 90% confidence interval A simple random sample of size n-16 s drawn about the population mean. The 90% confidence interval is OD (Round to two decimal places as needed.)
Construct the indicated confidence interval for the population mean mu μ using the t-distribution. Assume the population is normally distributed. c equals = 0.90 0.90, x overbar x equals = 14.1 14.1, s equals = 4.0 4.0, n equals = 6 6 The 90 90% confidence interval using a t-distribution is left parenthesis nothing comma nothing right parenthesis . , .
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 98% confidence interval about if the sample size, n, s 14 (b) Construct a 98% confidence interval about μ if the sample size, n, is 19 (c) Construct a 99% confidence interval about if the sample size, n, s 14 (d)...
If X-67, S-20, and n-49, and assuming that the population is normally distributed, construct a 99% confidence interval estimate of the population mean, μ Click here to view page 1 of the table of critical values for the tdistribution Click here to view page 2 of the table of critical values for the t distribution (Round to two decimal places as needed.)
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,...