A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. 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 61. Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: How does increasing the sample size affect the margin of error, E? O A. The margin of error does not change. O B. The margin of error decreases. OC. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (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 the margin of error, E? O A. The margin of error decreases. O B. The margin of error increases. OC. The margin of error does not change. (d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval? O A. The sample size must be large and the sample should not have any outliers. O B. The sample data must come from a population that is normally distributed with no outliers. O C. The sample must come from a population that is normally distributed and the sample size must be large.
A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1. Click the icon to view the table of areas under the t-distribution. (a) Construct a 95% confidence interval about u if the sample size, n, is 34. 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 61. Upper bound: (Use ascending order. Round to two decimal places as needed.) Lower bound: How does increasing the sample size affect the margin of error, E? O A. The margin of error does not change. O B. The margin of error decreases. OC. The margin of error increases. (c) Construct a 99% confidence interval about u if the sample size, n, is 34. Lower bound:: Upper bound: (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 the margin of error, E? O A. The margin of error decreases. O B. The margin of error increases. OC. The margin of error does not change. (d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval? O A. The sample size must be large and the sample should not have any outliers. O B. The sample data must come from a population that is normally distributed with no outliers. O C. The sample must come from a population that is normally distributed and the sample size must be large.
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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Transcribed Image Text:A simple random sample of size n is drawn. The sample mean, x, is found to be 19.3, and the sample standard deviation, s, is found to be 4.1.
Click the icon to view the table of areas under the t-distribution.
(a) Construct a 95% confidence interval about u if the sample size, n, is 34.
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 61.
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?
O A. The margin of error does not change.
O B. The margin of error decreases.
O C. The margin of error increases.
(c) Construct a 99% confidence interval about u if the sample size, n, is 34.
Lower bound:: Upper bound:
(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 the margin of error, E?
A. The margin of error decreases.
O B. The margin of error increases.
OC. The margin of error does not change.
(d) If the sample size is 12, what conditions must be satisfied to compute the confidence interval?
O A. The sample size must be large and the sample should not have any outliers.
O B. The sample data must come from a population that is normally distributed with no outliers.
O C. The sample must come from a population that is normally distributed and the sample size must be large.
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