Answered: Benzene in the air workers breathe can…

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

...................amzncnwkapdkcmsksxjfjwjfnfnskwkfjrjidkaakamzndndndj........ Benzene in the air workers breathe can cause cancer. It is very important for the benzene content of air in a particular plant to be not more than 1.00 ppm. Samples are taken to check the benzene content of the air. 25 specimens of air from one location in the plant gave a mean content of 0.760 ppm, and the standard deviation of benzene content was estimated on the basis of the sample to be 0.45 ppm. Benzene contents in this case are found to be normally distributed. a) Is there evidence at the 1% level of significance that the true mean benzene content is less than or equal to 1.00 ppm? N: see picture to see the given and the approach. b) Find the 95% confidence interval for the true mean benzene content.

a)
Given: x, mu, n, s, 99% CI
Approach: Findt_observed and determine one-tail probability at this t value, compare
with 1%
b) Find the 95% confidence interval for the true mean benzene content.
Use equation 3

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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