Question: How do you calculate the control limits? (Please show all work) Why do we need to use both X-bar and R charts together? Data is

  1. How do you calculate the control limits? (Please show all work)
  2. Why do we need to use both X-bar and R charts together?

Data is available via the Google drive link here: https://docs.google.com/spreadsheets/d/1nuatxqhYG4uJ5LitKNXn9bfTUkq4FDFL/edit?usp=sharing&ouid=103036333073768446383&rtpof=true&sd=true

How do you calculate the control limits? (Please
A B C D E F G H K L M N O P Time X-BAR R Time X-BAR R NP 7:00 AM 28.3538285 10.0051455 3:00 PM 32.479945 12.636896 X1 26.22 X3 28.22 XA 29.50 X5 28.54 X-bar 28.95 R 6.06 7:20 AM 29.5861953 11.7259739 3:20 PM 30.450919 7.473245 X 2 32.28 7:40 AM 29.9143332 9.52420039 3:40 PM 28.512599 17.595175 X-bar Chart OUI A 8:00 AM 31.2125385 3.15903801 4:00 PM 32.638946 5.8664572 36 - 8:20 AM 28.1583224 7.0137267 4:20 PM 31.316681 8.7246088 35- 34 - 8:40 AM 30.3134234 9.48215422 4:40 PM 30.118692 17.379346 33 - 32 - 9:00 AM 29.06731 7.32663042 5:00 PM 28.271135 6.1626821 31 - 9 9:20 AM 32.3102802 6.65171229 5:20 PM 31.563413 7.417011 30 - 29 10 9:40 AM 30.5945147 13.7669361 5:40 PM 30.624656 8.4388603 28 - 27- 11 10:00 AM 29.2788666 7.29176433 6:00 PM 29.693604 6.6470401 26 - 12 10:20 AM 29.9246868 6.11626785 6:20 PM 29.041304 14.741301 25 - 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM 13 10:40 AM 32.5967939 13.8437759 6:40 PM 29.900591 5.5320186 14 11:00 AM 29.3300713 12.3086796 7:00 PM 30.420395 8.6640778 R Chart 15 11:20 AM 29.4333751 8.28710536 7:20 PM 30.283998 8.8432761 207 16 11:40 AM 28.7776984 5.24628415 7:40 PM 31.269018 12.165196 18 - 16 - 17 12:00 PM 31.3048521 5.2741704 8:00 PM 29.935083 4.9218145 14 - 18 12:20 PM 31.2414692 6.33077175 8:20 PM 32.532104 7.9397044 12 - 8:40 PM 29.111706 6.9638313 10 19 12:40 PM 28.4908702 9.89963602 20 1:00 PM 29.4733768 11.3314511 9:00 PM 29.580732 5.6564034 6 - W 21 1:20 PM 30.0232602 9.36977891 9:20 PM 29.368873 11.77309 2- 22 1:40 PM 31.71424 7.45351044 9:40 PM 29.306083 13.57747 7 AM 8 AM 9 AM 10 AM 11 AM 12 PM 1 PM 2 PM 3 PM 4 PM 5 PM 6 PM 7 PM 8 PM 9 PM 10 PM 23 2:00 PM 30.3233065 3.75989707 10:00 PM 28.952921 6.0632907 24 2:20 PM 29.0413671 5.11068429 25 2:40 PM 28.8981957 8.4862061 26

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