A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found t

Post by **answerhappygod** » Wed May 11, 2022 4:13 pm

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x, is found to be 114, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about u if the sample size, n, is 27.
(b) Construct a 98% confidence interval about u if the sample size, n, is 18.
(c) Construct a 95% confidence interval about u if the sample size, n, is 27.
(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed?

: A Simple Random Sample Of Size N Is Drawn From A Population That Is Normally Distributed The Sample Mean X Is Found T 1 (34.12 KiB) Viewed 28 times

: A Simple Random Sample Of Size N Is Drawn From A Population That Is Normally Distributed The Sample Mean X Is Found T 2 (27.03 KiB) Viewed 28 times

A simple random sample of size n is drawn from a population that is normally distributed. The sample mean, x is found to be 114, and the sample standard deviations, is (a) Construct a 98% confidence interval about if the sample size, n, is 27 (b) Construct a 98% confidence interval about if the sample size, n, is 18. (c) Construct a 95% confidence interval about if the sample size, n, is 27 (Could we have computed the confidence intervals in parts (a)-c) if the population had not been normally distributed? Click the icon to view the table of areas under the t-distribution (a) Construct a 98% confidence interval about if the sample size, n, is 27. Lower bound Upper bound (Use ascending order. Round to one decimal place as needed.) (b) Construct a se confidence interval about if the sample size, n, is 18. Lower bound Upper bound (Use ascending order. Round to one decimal place as needed.) How don decreasing the sample size affect the margin of error, E? O A As the sample size decreases, the margin of error increases B. As the sample size decreases, the margin of error stays the same OC. As the sample size decreases the margin of error decreases (c) Construct a 95% confidence interval about if the sample size, n, is 27 Lower bound Upper bound use escanding order found to do and

(c) Construct a 95% confidence interval about all the sample size, n, is 27. Lower bound: D: Upper bound (Use ascending order. Round to one decimal place as needed.) Compare the results to those obtained in part (a). How does decreasing the level of confidence affect the size of the margin of error, E? O A. As the level of confidence decreases, the size of the interval increases. OB. As the level of confidence decreases, the size of the interval decreases, OC. As the level of confidence decreases, the size of the interval stays the same (d) Could we have computed the confidence intervals in parts (a)-c) if the population had not been normally distributed? O A Yes, the population needs to be normally distributed OB. No, the population needs to be normally distributed. OC. Yes, the population does not need to be normally distributed. OD. No, the population does not need to be normally distributed Statcrunch