a) Given: X, mu, n, s, 99% CI Approach: Find t_observed and determine one-tail probability at this t value, compare with 1%

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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100%
See the 2nd picture for the given and approach in letter a.
Problems
1. 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 stan-
dard 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?
b) Find the 95% confidence interval for the true mean benzene content.
Transcribed Image Text:Problems 1. 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 stan- dard 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? b) Find the 95% confidence interval for the true mean benzene content.
a)
Given: x, mu, n, s, 99% CI
Approach: Find t_observed and determine one-tail probability at this t value, compare
with 1%
Transcribed Image Text:a) Given: x, mu, n, s, 99% CI Approach: Find t_observed and determine one-tail probability at this t value, compare with 1%
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