The article "Reaction Modeling and Optimization Using

Chapter 6, Problem 3E

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QUESTION:

The article “Reaction Modeling and Optimization Using Neural Networks and Genetic Algorithms: Case Study Involving TS-1-Catalyzed Hydroxylation of Benzene” (S. Nandi, P. Mukherjee, et al.,Industrial and Engineering Chemistry Research, 2002:2159–2169) presents benzene conversions (in mole percent) for 24 different benzenehydroxy-lation reactions. The results are

52.3 41.1 28.8 67.8 78.6 72.3 9.1 19.0

30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6

14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4.

a. Can you conclude that the mean conversion is less than 45? Compute the appropriate test statistic and find the P-value.

b. Can you conclude that the mean conversion is greater than 30? Compute the appropriate test

statistic and find the P-value.

c. Can you conclude that the mean conversion differs from 55? Compute the appropriate test statistic and find the P-value.

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QUESTION:

The article “Reaction Modeling and Optimization Using Neural Networks and Genetic Algorithms: Case Study Involving TS-1-Catalyzed Hydroxylation of Benzene” (S. Nandi, P. Mukherjee, et al.,Industrial and Engineering Chemistry Research, 2002:2159–2169) presents benzene conversions (in mole percent) for 24 different benzenehydroxy-lation reactions. The results are

52.3 41.1 28.8 67.8 78.6 72.3 9.1 19.0

30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6

14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4.

a. Can you conclude that the mean conversion is less than 45? Compute the appropriate test statistic and find the P-value.

b. Can you conclude that the mean conversion is greater than 30? Compute the appropriate test

statistic and find the P-value.

c. Can you conclude that the mean conversion differs from 55? Compute the appropriate test statistic and find the P-value.

ANSWER:

Step 1 of 5

Given that,

The results are:

52.3 41.1 28.8 67.8 78.6 72.3 9.1 19.0

30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6

14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4.

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