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 35% for the process to be feasible. In an initial study, six runs were made. The average conversion was 39% and the standard deviation was 4%. If it can be concluded that the mean conversionμis greater than 35%, further evaluation of the process will be conducted.
a. State the appropriate null and alternate hypotheses.
b. Find the P-value.
c. Should further evaluation of the process be conducted? Explain.