2 out of 3 attempts A new process for synthesizing methanol from methane is unde

Question

2 out of 3 attempts A new process for synthesizing methanol from methane is under study to evaluate its technical A 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, 6 runs were made. The average conversion was 47%, and the standard deviation was 5%. If it can be concluded that the mean conversion is greater than 35%, further evaluation of the process will be conducted. Find the range of theP-value. Lower limit of the P-value0.0010 Upper limit of the P-value 0.002 Details of last check answer: 0.00 10 0.002 View Details of Last Check Ans

Explanation / Answer

Solution:

State the appropriate null and alternative hypotheses.
H0: 35%
Ha: > 35

Find the P-value
t = 47- 35/sqrt(5^2/6)
= 5.8787
P-value = P(t > 5.88)
= 1- 0.9990
= 0.001
P-value = 0.001 < = 0.05, We reject Ho.
Lower P-value = 0.001
Upper P-value = 0.05

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