A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the samplestandard deviation, s, is found to be 4.9.Click the icon to view the table of areas under the t-distribution.(a) Construct a 95% confidence interval about μ if the sample size, n, is 35.Lower bound:; Upper bound:(Use ascending order. Round to two decimal places as needed.)(b) Construct a 95% confidence interval about u if the sample size, n, is 51.Lower bound:; Upper bound:(Use ascending order. Round to two decimal places as needed.)How does increasing the sample size affect the margin of error, E?A. The margin of error does not change.OB. The margin of error increases.OC. The margin of error decreases. A simple random sample of size n is drawn. The sample mean, x, is found to be 19.4, and the samplestandard deviation, s, is found to be 4.9.Click the icon to view the table of areas under the t-distribution.(c) Construct a 99% confidence interval about µ if the sample size, n, is 35.μLower bound: Upper bound::7(Use ascending order. Round to two decimal places as needed.)Compare the results to those obtained in part (a). How does increasing the level of confidence affect the size of themargin of error, E?A. The margin of error increases.B. The margin of error does not change.OC. The margin of error decreases.(d) If the sample size is 17, what conditions must be satisfied to compute the confidence interval?OA. The sample size must be large and the sample should not have any outliers.B. The sample data must come from a population that is normally distributed with no outliers.OOOC. The sample must come from a population that is normally distributed and the sample size must be large.

as per guidelines i have calculated 3 subparts plz repost for remaining Sample mean, x¯ = 19.4…

Answered: (a) Construct a 95% confidence interval…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(a) Construct a 95% confidence interval about u if the sample size, n, is 35.