Question #2Answer Parts C and D Only!! ### Confidence Interval ConstructionA simple random sample of size \( n \) is drawn from a population that is normally distributed. The sample mean, \( \bar{x} \), is found to be 109, and the sample standard deviation, \( s \), is found to be 10. **Tasks:**(a) Construct a 98% confidence interval about \( \mu \) if the sample size, \( n \), is 17.(b) Construct a 98% confidence interval about \( \mu \) if the sample size, \( n \), is 22.(c) Construct a 99% confidence interval about \( \mu \) if the sample size, \( n \), is 17.(d) Could we have computed the confidence intervals in parts (a)-(c) if the population had not been normally distributed? **Table VI: t-Distribution****Area in Right Tail**This table displays critical values of the t-distribution based on degrees of freedom (df) and different levels of significance, indicating the area in the right tail. The table aids in statistical hypothesis testing using t-tests. The entry for a given df and column represents the t-value associated with the given right-tail probability (e.g., 0.05, 0.01).---**df (Degrees of Freedom) | Right-Tail Probabilities**| df | 0.25 | 0.20 | 0.15 | 0.10 | 0.05 | 0.025 | 0.02 | 0.01 | 0.005 | 0.0025 | 0.001 | 0.0005 ||----|--------|--------|--------|--------|--------|-------|------|------|-------|--------|-------|--------|| 1 | 1.000 | 1.376 | 1.963 | 3.078 | 6.314 | 12.706 | 15.894 | 31.821 | 63.657 | 127.321 | 318.309 | 636.619 || 2 | 0.816 | 1.061 | 1.386 | 1.886 | 2.920 | 4.303 | 4.849 | 6.965 | 9.925 | 14.089 | 22.327 | 31.599 || 3 | 0.765 | 0.978 | 1.250 | 1.638 | 2.353 | 3.182 | 3.482 | 4.541 | 5.841 | 7.453 | 10.215 | 12.924 || 4 | 0.741 | 0.941 | 1.190 | 1.533 | 2.132 | 2.776 | 2.999 | 3.747 | 4.604 | 5.598 | 7.173 | 8.610 || 5 | 0.727 | 0.920 |

We assume the population is normally distributed.

A simple random sample of sizen is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, 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 17. (b) Construct a 98% confidence interval about u if the sample size, n, is 22. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. (d) 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. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. Lower bound: 101.9 ; Upper bound: 116.1 (Use ascending order. Round to one decimal place 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. As the level of confidence increases, the size of the interval decreases. O B. As the level confidence increases, the size of the interval increases. O C. As the level confidence increases, the size of the interval stays the same.

A simple random sample of sizen is drawn from a population that is normally distributed. The sample mean, x, is found to be 109, 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 17. (b) Construct a 98% confidence interval about u if the sample size, n, is 22. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. (d) 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. (c) Construct a 99% confidence interval about u if the sample size, n, is 17. Lower bound: 101.9 ; Upper bound: 116.1 (Use ascending order. Round to one decimal place 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. As the level of confidence increases, the size of the interval decreases. O B. As the level confidence increases, the size of the interval increases. O C. As the level confidence increases, the size of the interval stays the same.

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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