Answered: You randomly select and measure the…

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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Question

You randomly select and measure the contents of 10 bottles of cough syrup. The results (in fluid ounces) are shown to the right.

4.216, 4.293, 4.255, 4.241, 4.187, 4.247, 4.264, 4.243, 4.226, 4.233

Assume the sample is taken from a normally distributed population. Construct 90% confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma.
Interpret the results.

(a) The confidence interval for the population variance is ______.
(Round to six decimal places as needed.)

(b) The confidence interval for the population standard deviation is ______.
(Round to four decimal places as needed.)

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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