For the data below a. Construct an R-chart for this process. b. Does the process
ID: 3323070 • Letter: F
Question
For the data below a. Construct an R-chart for this process. b. Does the process appear to be in control? Why or why not?Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 1 98.270604 98.823764 101.81751 100.1819 102.95938 101.165 95.259569 98.974232 2 100.71657 101.88663 98.568125 98.771263 101.82732 98.202984 101.69747 99.637062 3 98.9922 101.9845 103.78587 97.942111 100.96179 102.51914 97.336307 101.64758 4 103.24791 97.550575 105.59417 99.393585 99.579219 95.396941 96.262368 102.56662 5 100.40298 99.999539 100.1254 100.21003 93.467174 103.20109 100.12465 101.03852 6 97.266865 101.05984 96.308292 100.24015 98.074471 97.921674 102.40828 104.06861 7 101.22429 98.174659 99.66765 101.10597 100.28912 99.37136 99.334422 95.245744 8 99.773039 95.705679 99.561499 99.898835 100.3117 104.13304 100.44449 96.286736 9 98.511861 99.892393 101.37618 99.760188 101.56315 97.320405 99.621245 101.41658 10 97.409036 97.850047 101.42003 103.65477 96.498567 101.39625 103.88046 98.636715 11 96.394599 100.6758 97.702214 100.51367 100.5532 102.72895 99.085736 105.70985 12 101.74564 96.836183 94.442516 97.852194 99.547524 100.50657 100.66281 99.459194 13 98.582974 99.370531 104.25227 101.73858 96.27684 97.965529 102.3758 99.042395 14 106.80223 102.26315 100.88179 99.150573 98.484108 101.02004 105.03168 98.647207 15 100.75822 103.7421 101.33778 96.832027 100.04218 98.521328 101.84453 99.045352 16 98.105386 98.665641 100.94445 102.41005 96.083029 102.79179 99.986281 98.999889 17 103.66648 96.52341 100.49784 98.044495 97.827647 97.663263 100.14056 97.067587 18 95.800966 101.69058 94.253671 100.83605 101.23471 99.128236 96.377742 102.36257 19 104.69463 98.312091 101.09619 103.27781 102.0372 99.481043 103.95539 99.897435 20 96.401316 101.33026 95.842636 97.123251 96.167026 99.77812 99.361786 102.96381 21 104.83326 101.83078 102.5233 101.17248 97.854942 99.992835 99.605566 101.9794 22 101.53453 99.936272 103.22196 100.09139 97.83096 101.41862 101.81964 100.43205 23 102.4923 101.35253 100.65603 102.44675 98.514987 103.76503 98.939164 101.7886 24 101.86455 102.38922 101.95563 98.281156 101.86745 102.35916 98.551045 97.546045 25 97.387097 96.537945 101.7044 99.729339 100.82855 98.921704 98.661986 96.420269 26 104.73863 95.963717 94.828591 98.125256 99.971135 102.0262 96.702684 101.47629 27 97.068199 98.057968 102.58117 101.72914 101.97559 101.84366 101.99104 98.524645 28 103.18586 101.87579 100.35576 98.92472 102.85859 98.528608 99.327139 100.34106 29 102.80745 99.305249 94.271032 100.9363 96.074267 101.07183 98.273165 100.26679 30 104.85922 97.218005 101.66755 99.666504 98.749293 94.515563 102.34392 96.320734 31 99.36158 100.6845 101.40207 99.05658 98.569962 98.933063 99.058952 99.033245 32 100.45305 108.18335 100.42878 100.04065 101.12255 99.600236 101.44412 102.03434 33 96.207462 104.1242 104.35607 96.357781 96.752119 102.97111 105.37234 104.37449 34 100.95436 95.772758 99.462963 100.18426 95.993108 100.4398 96.462114 105.29556 35 98.619124 97.443772 99.706147 97.574148 98.449632 105.07047 99.881744 95.713776 36 101.07685 96.96342 95.471813 103.1429 99.514928 98.979724 101.72911 98.149443 37 100.85999 101.34552 102.31118 96.923074 102.85671 100.17495 97.537128 95.368348 38 97.534648 97.89732 99.183256 98.672572 100.76526 102.21416 101.2532 98.366497 39 102.57224 101.49777 99.060057 95.793181 99.730843 96.967219 102.47982 99.953061 40 99.137433 99.282116 95.116171 100.36398 98.430171 102.89447 106.29159 98.299978 41 104.2666 99.540839 99.901482 99.994889 100.2585 95.37964 101.26782 101.48619 42 102.7377 95.222352 100.77716 96.614988 98.818078 98.728124 98.534394 97.650008 43 105.35312 102.40295 103.63116 98.92174 100.70626 100.25404 103.1379 102.46506 44 97.904558 101.78919 101.76357 100.8807 99.207467 101.62565 102.61572 100.99718 45 101.14768 102.91968 98.940434 100.57517 99.428783 102.88358 99.467408 102.71827 46 104.50455 99.262918 99.733544 99.295567 104.06317 98.047553 100.3141 102.52564 47 99.640856 99.705592 98.823254 98.344158 97.083524 96.056994 99.228256 99.261705 48 96.466237 98.817901 99.913571 98.583226 100.52804 100.71092 104.60704 97.853962 49 100.86572 100.77701 101.88922 99.822542 98.598925 99.591143 101.84465 100.62798 50 101.88183 104.00566 100.35085 104.04437 98.685768 99.463243 98.930013 104.46123 51 97.976199 102.40552 96.776565 95.092233 94.90316 101.14448 101.71375 96.515939 52 97.822414 99.324686 96.946527 97.020259 99.489052 97.466083 102.54282 102.10272 53 96.703663 100.94811 103.49557 98.478289 100.92348 100.11119 100.27961 102.9399 54 101.02722 100.96138 97.925797 99.829942 98.987674 101.34719 99.64265 102.22608 55 98.267586 101.1624 99.447262 99.615392 95.844106 100.34655 106.09837 100.48113 56 95.11641 99.160327 100.24127 98.18447 101.54189 97.859275 98.249814 95.031132 57 100.73698 101.95342 105.6361 98.087574 98.605217 97.220331 99.226 104.04194 58 94.840391 103.82704 96.367101 106.18706 97.552893 102.83884 97.330169 96.642581 59 103.75708 96.585627 97.301703 102.09263 102.65913 103.14031 104.11128 96.844361 60 96.704438 105.80828 100.52071 99.25266 105.16899 98.779327 98.571086 97.310192 61 102.82212 101.82884 102.98489 102.05874 95.686008 105.17247 101.51145 95.988508 62 100.36867 101.2092 101.51382 98.171006 100.72857 100.09125 104.14783 103.77917 63 97.575223 102.5881 98.063169 98.750049 97.814457 95.777416 102.61084 101.43111 64 98.098364 99.609057 98.490795 100.07883 101.39024 102.40426 99.459889 99.323742 65 100.7707 99.417034 99.203312 103.54688 98.605314 102.27359 96.10457 98.83456 66 100.62274 98.569458 98.43058 106.73614 96.139461 100.14286 100.4866 93.707258 67 99.611755 100.34274 95.882955 102.95926 101.82517 98.873263 101.02224 100.10482 68 97.416749 97.211144 102.17061 99.398951 104.42671 104.46561 95.235826 95.987259 69 101.50929 99.792576 99.748941 100.47856 98.083795 103.58837 101.67364 106.04799 70 95.640742 102.97618 101.39067 101.35939 99.759044 96.062091 103.06568 100.81018 71 102.51405 102.21887 99.467768 101.55145 99.427459 103.08934 99.83755 99.663744 s = Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 1 98.270604 98.823764 101.81751 100.1819 102.95938 101.165 95.259569 98.974232 2 100.71657 101.88663 98.568125 98.771263 101.82732 98.202984 101.69747 99.637062 3 98.9922 101.9845 103.78587 97.942111 100.96179 102.51914 97.336307 101.64758 4 103.24791 97.550575 105.59417 99.393585 99.579219 95.396941 96.262368 102.56662 5 100.40298 99.999539 100.1254 100.21003 93.467174 103.20109 100.12465 101.03852 6 97.266865 101.05984 96.308292 100.24015 98.074471 97.921674 102.40828 104.06861 7 101.22429 98.174659 99.66765 101.10597 100.28912 99.37136 99.334422 95.245744 8 99.773039 95.705679 99.561499 99.898835 100.3117 104.13304 100.44449 96.286736 9 98.511861 99.892393 101.37618 99.760188 101.56315 97.320405 99.621245 101.41658 10 97.409036 97.850047 101.42003 103.65477 96.498567 101.39625 103.88046 98.636715 11 96.394599 100.6758 97.702214 100.51367 100.5532 102.72895 99.085736 105.70985 12 101.74564 96.836183 94.442516 97.852194 99.547524 100.50657 100.66281 99.459194 13 98.582974 99.370531 104.25227 101.73858 96.27684 97.965529 102.3758 99.042395 14 106.80223 102.26315 100.88179 99.150573 98.484108 101.02004 105.03168 98.647207 15 100.75822 103.7421 101.33778 96.832027 100.04218 98.521328 101.84453 99.045352 16 98.105386 98.665641 100.94445 102.41005 96.083029 102.79179 99.986281 98.999889 17 103.66648 96.52341 100.49784 98.044495 97.827647 97.663263 100.14056 97.067587 18 95.800966 101.69058 94.253671 100.83605 101.23471 99.128236 96.377742 102.36257 19 104.69463 98.312091 101.09619 103.27781 102.0372 99.481043 103.95539 99.897435 20 96.401316 101.33026 95.842636 97.123251 96.167026 99.77812 99.361786 102.96381 21 104.83326 101.83078 102.5233 101.17248 97.854942 99.992835 99.605566 101.9794 22 101.53453 99.936272 103.22196 100.09139 97.83096 101.41862 101.81964 100.43205 23 102.4923 101.35253 100.65603 102.44675 98.514987 103.76503 98.939164 101.7886 24 101.86455 102.38922 101.95563 98.281156 101.86745 102.35916 98.551045 97.546045 25 97.387097 96.537945 101.7044 99.729339 100.82855 98.921704 98.661986 96.420269 26 104.73863 95.963717 94.828591 98.125256 99.971135 102.0262 96.702684 101.47629 27 97.068199 98.057968 102.58117 101.72914 101.97559 101.84366 101.99104 98.524645 28 103.18586 101.87579 100.35576 98.92472 102.85859 98.528608 99.327139 100.34106 29 102.80745 99.305249 94.271032 100.9363 96.074267 101.07183 98.273165 100.26679 30 104.85922 97.218005 101.66755 99.666504 98.749293 94.515563 102.34392 96.320734 31 99.36158 100.6845 101.40207 99.05658 98.569962 98.933063 99.058952 99.033245 32 100.45305 108.18335 100.42878 100.04065 101.12255 99.600236 101.44412 102.03434 33 96.207462 104.1242 104.35607 96.357781 96.752119 102.97111 105.37234 104.37449 34 100.95436 95.772758 99.462963 100.18426 95.993108 100.4398 96.462114 105.29556 35 98.619124 97.443772 99.706147 97.574148 98.449632 105.07047 99.881744 95.713776 36 101.07685 96.96342 95.471813 103.1429 99.514928 98.979724 101.72911 98.149443 37 100.85999 101.34552 102.31118 96.923074 102.85671 100.17495 97.537128 95.368348 38 97.534648 97.89732 99.183256 98.672572 100.76526 102.21416 101.2532 98.366497 39 102.57224 101.49777 99.060057 95.793181 99.730843 96.967219 102.47982 99.953061 40 99.137433 99.282116 95.116171 100.36398 98.430171 102.89447 106.29159 98.299978 41 104.2666 99.540839 99.901482 99.994889 100.2585 95.37964 101.26782 101.48619 42 102.7377 95.222352 100.77716 96.614988 98.818078 98.728124 98.534394 97.650008 43 105.35312 102.40295 103.63116 98.92174 100.70626 100.25404 103.1379 102.46506 44 97.904558 101.78919 101.76357 100.8807 99.207467 101.62565 102.61572 100.99718 45 101.14768 102.91968 98.940434 100.57517 99.428783 102.88358 99.467408 102.71827 46 104.50455 99.262918 99.733544 99.295567 104.06317 98.047553 100.3141 102.52564 47 99.640856 99.705592 98.823254 98.344158 97.083524 96.056994 99.228256 99.261705 48 96.466237 98.817901 99.913571 98.583226 100.52804 100.71092 104.60704 97.853962 49 100.86572 100.77701 101.88922 99.822542 98.598925 99.591143 101.84465 100.62798 50 101.88183 104.00566 100.35085 104.04437 98.685768 99.463243 98.930013 104.46123 51 97.976199 102.40552 96.776565 95.092233 94.90316 101.14448 101.71375 96.515939 52 97.822414 99.324686 96.946527 97.020259 99.489052 97.466083 102.54282 102.10272 53 96.703663 100.94811 103.49557 98.478289 100.92348 100.11119 100.27961 102.9399 54 101.02722 100.96138 97.925797 99.829942 98.987674 101.34719 99.64265 102.22608 55 98.267586 101.1624 99.447262 99.615392 95.844106 100.34655 106.09837 100.48113 56 95.11641 99.160327 100.24127 98.18447 101.54189 97.859275 98.249814 95.031132 57 100.73698 101.95342 105.6361 98.087574 98.605217 97.220331 99.226 104.04194 58 94.840391 103.82704 96.367101 106.18706 97.552893 102.83884 97.330169 96.642581 59 103.75708 96.585627 97.301703 102.09263 102.65913 103.14031 104.11128 96.844361 60 96.704438 105.80828 100.52071 99.25266 105.16899 98.779327 98.571086 97.310192 61 102.82212 101.82884 102.98489 102.05874 95.686008 105.17247 101.51145 95.988508 62 100.36867 101.2092 101.51382 98.171006 100.72857 100.09125 104.14783 103.77917 63 97.575223 102.5881 98.063169 98.750049 97.814457 95.777416 102.61084 101.43111 64 98.098364 99.609057 98.490795 100.07883 101.39024 102.40426 99.459889 99.323742 65 100.7707 99.417034 99.203312 103.54688 98.605314 102.27359 96.10457 98.83456 66 100.62274 98.569458 98.43058 106.73614 96.139461 100.14286 100.4866 93.707258 67 99.611755 100.34274 95.882955 102.95926 101.82517 98.873263 101.02224 100.10482 68 97.416749 97.211144 102.17061 99.398951 104.42671 104.46561 95.235826 95.987259 69 101.50929 99.792576 99.748941 100.47856 98.083795 103.58837 101.67364 106.04799 70 95.640742 102.97618 101.39067 101.35939 99.759044 96.062091 103.06568 100.81018 71 102.51405 102.21887 99.467768 101.55145 99.427459 103.08934 99.83755 99.663744 s =
0.8 Series1 -Series2 Series3 0.6 + 0.4 0.2 0 0.2 0.4 0.6 0.8 1.2
Explanation / Answer
4)
a)
b)
Here the process appear to be in control
All Ri point in between UCL and LCL and no any special pattern. Therefore the process is in a state of control.
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