Probability and Statistics for Engineering and the Sciences
Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 15.4, Problem 26E
To determine

Test whether there are any effects due to the different treatments.

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A farmer has two types of beans and wants to determine which produces a better bean of greater nutritional content.  A geneticist was employed to do the investigation examining genotype with nutritional content.  The results were as follows:   Nutritional Content Genotype High Low bb 8 4 Bb 6 2 Perform a chi square to test the association between genotype and nutritional content.  State the null and alternative  hypotheses and determine at 95% level of accuracy.  Which hypotheses would be accepted?
The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 99.70% accuracy, and chlorinated compounds with 89.70% accuracy. If an algal bloom is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. Denote as follows: S= signal, 0 = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(C|S) = 0.1184 O b. P(C|S) = 0.1386 O c. None among the…
The DENR has a new procedure to detect algal bloom in water being tested. This new procedure is important because, it could be used to detect three different contaminants-organic pollutants, volatile solvents, and chlorinated compounds. The department claims that it can detect high levels of organic pollutants with 99.95% accuracy, volatile solvents with 89.70% accuracy, and chlorinated compounds with 99.70% accuracy. If an algal bloom is not present, the test does not signal. Samples are prepared for the calibration of the test and 60% of them are contaminated with organic pollutants, 27% with volatile solvents, and 13% with traces of chlorinated compounds. A test sample is selected randomly. Denote as follows: S = signal, O = organic pollutants, V = volatile solvents, C = chlorinated compounds. If the test signals, what is the probability that chlorinated compounds are present? (Show complete solution in your answer sheet) O a. P(CIS) = 0.1386 Ob.P(C|S) = 0.1184 OC. None among the…

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