Can you please help me answer the below question regarding process capability and the Taguchi loss function

Question 1- Process Capability and the Taguchi Loss Function [7 marks: 2, 1, 1, 1, 2] ARGO Industries produces metal coils (springs) with specification limits for spring elongation (under a stretching force of 3 Newtons) of 13.00 cm + 1.00 cm. Data for the elongations in a sample of 50 springs are in the JMP file ARGO.jmp (available on Canvas). (a) Construct a histogram of the data and obtain the capability indices Cox and Co. Include the histogram and state the values in your response, and identify, with rationale, which of these two measures would be more appropriate given the data at hand (max. 40 words). JMP computing notes: Use Analyse->Distribution to obtain the histogram. In the resulting output click on the red arrow beside the word 'Elongation' and select 'Display Options> Horizontal Layout' in order to rotate the histogram. Click again on the red arrow beside 'Elongation' and select Capability analysis. You will be prompted to provide the lower and upper specification limits and the target value. Enter them and click OK. (b) i. State the loss function for this process based upon specification limits only, where the cost for rejecting a spring is $10.00; ii. State the Taguchi loss function for this process, given loss = $10.00 at lower and upper specification limits (show working where applicable). NOTE: JMP is not required for part b). (c) The mean of the sample is not at the target of 13.00cm but instead is 13.348. We can adjust the data to have a mean of 13.00, without changing the standard deviation, by subtracting 0.348 from every value. To do this, create a new column in the JMP file (called 'Adj Data') containing a formula, 'Elongation-0.348' (i.e., Elongation minus 0.348). NOTE: We aren't altering or improving the process, we are simply adjusting the data so we may consider the situation where the process had the desired mean of 13.00 and the same standard deviation as the current process. JMP computing notes to enter the formula 'Elongation-0.348' in ARGO.jmp: Select 'Cols' from menu, then 'New Column..'. Rename 'Column 2' as 'Adj Data', then click 'OK'. Click the right mouse button at the top of the column named 'Adj Data' and select 'Formula..'. This will take you to the formula window. In the formula window, Click on 'Elongation' at the left of the window then subtraction sign (-) then type 0.348 and press 'Enter' key. Then click on 'OK'. I will assume that after completing this part of the question that you will have two columns of data, the original data called 'Elongation' and the adjusted data called 'Adj Data'. Calculate the average Taguchi Loss per unit based on: . the original data ('Elongation'); and . the adjusted data ('Adj Data') i. State the above two values. Do not provide a printout of your data or loss values calculated in JMP. ii. Compare the two values, commenting on what they demonstrate and any notable aspects in the context of this scenario. (max. 50 words) JMP computing notes for entering formula for Taguchi Loss Function (TLF): The following JMP commands provide the steps for placing a TLF formula of the form 20*(Elongation-15)2 in a column using the data in the column 'Elongation'. This is simply an example of entering a formula having this structure 20*(Elongation-15)?, to help you with the process of doing so; you must instead enter the TLF formula that you calculated in part b) ii. Page 2