a) Define Ho and H₁ b) Compute the test statistic c) Find the P-value of the test statistic. d) State the conclusion.

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Chapter1: Combinatorial Analysis
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Please answer a-d

1. A new process for synthesizing methanol from methane is
under study to evaluate its technical feasibility. Design
simulations indicate that the reactor must have a mean
methane conversion greater than 36% for the process to
be feasible. In an initial study, eight runs were made. The
average conversion was 42% and the standard deviation
was 5%. If it can be concluded that the mean conversion
u is greater than 36%, further evaluation of the process
will be conducted.
a) Define Ho and H₁
b) Compute the test statistic
c) Find the P-value of the test statistic.
d) State the conclusion.
Transcribed Image Text:1. A new process for synthesizing methanol from methane is under study to evaluate its technical feasibility. Design simulations indicate that the reactor must have a mean methane conversion greater than 36% for the process to be feasible. In an initial study, eight runs were made. The average conversion was 42% and the standard deviation was 5%. If it can be concluded that the mean conversion u is greater than 36%, further evaluation of the process will be conducted. a) Define Ho and H₁ b) Compute the test statistic c) Find the P-value of the test statistic. d) State the conclusion.
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