Answered: Construct 90%, 95%, and 99% confidence…

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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Construct 90%, 95%, and 99% confidence intervals to estimate μ from the following data. State the point estimate. Assume the data come from a normally distributed population.

11.8	11.6	11.9	12.8	12.5	11.4	12.0
11.7	11.8	11.8

Appendix A Statistical Tables

(Round the intermediate values to 4 decimal places. Round t values to 3 decimal places. Round your answers to 2 decimal places.)

90% confidence interval: enter the lower limit of the 90% confidence interval  ≤ μ ≤ enter the upper limit of the 90% confidence interval
95% confidence interval: enter the lower limit of the 95% confidence interval  ≤ μ ≤ enter the upper limit of the 95% confidence interval
99% confidence interval: enter the lower limit of the 99% confidence interval  ≤ μ ≤ enter the upper limit of the 99% confidence interval

The point estimate is enter the point estimate  .

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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