In a certain antibacterial manufacturing process, the average percentage of alcohol in the gel is 79.012% and its standard deviation is 0.545%. It has been determined that the nominal value of the quality characteristic is 80.00% and its discrepancy is 1.50%. 

a) Calculate the process capacity (Cp). 

b) Calculate the real capacity of the process (Cpk). 

c) Determine the process specification limits. 

d) Calculate the natural fluctuation limits of the process. 

e) Is the natural fluctuation of the process within the specification limits? 

f) What is the proportion of non-conforming product that is being generated below the LEI?

 g) What is the value of Zinf and Zsup so that the percentage of non-conformity is a maximum of 10%?

 h) Between what values should the average of the process range so that the percentage of non-conformity is a maximum of 10%?