A new process for synthesizing methanol from methane is under study to evaluate

Question

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 equal to 35% for the process to be feasible. In an initial study, 5 runs were made. The average conversion was x = 39%, and the standard deviation, sigma = 4%. If it can be concluded mean conversion mu is equal 35%, then further evaluation of the process will be conducted. We can assume that the data can be modeled by the normal distribution. a. Find a 90% confidence interval for the mean conversion mu. b. Should further evaluation of the be conducted? YES or No Fill in the blank: In a test of Ho: mu greaterthanorequalto 10 versus H_1: mu

Explanation / Answer

Q-11

Part-a

For 90% confidence interval critical zc=1.645

So, 90% confidence interval =xbar ± zc*/sqrt(n)

=39±1.645*4/sqrt(5)

=(36.06%                             41.94%)

Part-b

No

As the 90% confidence interval does not includes 35%, so mean conversion µ is different from 35% and hence further evaluation of process will not be conducted.

Q-12

Part-i is the answer by definition of p-value

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