Question: Example 5 A new process for synthesizing methanol from methane is under study to evaluate its technical feasibility. Design simulations indicate that the reactor must

Example 5

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 40% for the process to be feasible. In an initial study, 42 runs were made. The average conversion was 44% and the standard deviation was 6%. If it can be concluded that the mean conversion is greater than 40%, further evaluation of the process will be conducted.

a. State the appropriate null and alternate hypotheses. b. Find the test statistic value and give the P-value associated with the test.

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