the “Problem 1” worksheet has Four columns of data. Each column represents a sam
ID: 3332156 • Letter: T
Question
the “Problem 1” worksheet has Four columns of data. Each column represents a sample from a different population. For each column, identify a probability distribution that is consistent with that sample. You must include the values for all necessary parameters for the distribution you propose (e.g. µ, , , , a, b, , etc. as appropriate).
Note: Choose any three (indicate which columns you selected).
5.600687706 -12.76111659 12.34116753 0.1820756031 43.40934644 -10.91864903 17.64487993 0.1334409192 8.940859626 -13.40347971 24.47454361 0.05068396989 29.00289389 -10.19303512 22.01020297 0.2177089358 34.29425149 -11.14261548 19.65622726 0.2049232317 2.061523909 -10.41940818 13.49019598 0.0336798715 43.3689229 -12.76622881 17.87845313 0.1866898077 -33.65408588 -7.622096994 28.2218596 0.1959532262 -7.26862695 -10.7319121 28.06807445 0.1529122783 38.7287127 -6.013321284 25.9480696 0.1910299125 30.14037492 -9.088291217 19.86071512 0.02428852307 -14.60241295 -9.057362149 17.03345393 0.2653622884 16.05462819 -9.368127315 14.99188432 0.3498453208 -18.58044464 -10.63975591 20.56886956 0.219959558 48.43018761 -11.26188447 18.89200302 0.02961290734 -1.398941082 -10.55600826 15.27678751 0.1212333609 33.1203377 -15.07000532 23.70860693 0.3094682462 -15.64076739 -12.91321606 14.5564103 0.1091698475 -38.79855233 -8.474242929 15.62737307 0.2751580984 -17.58334421 -9.395400461 19.72858807 0.1753029887 -36.94985611 -11.18977211 19.2386178 0.04608047557 -39.22532713 -7.2827071 19.26555877 0.2153047998 -13.28601406 -9.713202944 31.12595425 0.2302401546 39.55181454 -9.64504816 13.53788608 0.04875215829 1.322895264 -10.77831055 17.21491348 0.1811302329 0.8288553853 -10.20887803 23.3696628 0.3908041686 12.15356223 -10.8288255 21.02347543 0.07176528161 10.19956913 -10.49494135 20.25265204 0.3312067491 -42.99830333 -12.70045823 10.66120814 0.1073218732 10.77695833 -9.07892855 17.69825365 0.3029897254 23.8094642 -7.543313227 22.9291694 0.09669307674 44.63812652 -9.547160303 20.58389522 0.3082964956 -15.846799 -8.318972516 25.03616972 0.3749741797 -25.95128843 -8.419492205 19.6037966 0.04896810018 12.55020171 -7.674252467 13.46088108 0.2450073448 -4.272053842 -10.26090093 14.31816397 0.08573513098 47.01118354 -13.45705298 22.29471356 0.07392662444 7.678164546 -9.026570495 13.98484255 0.5887198839 41.01336515 -11.40611706 12.75862709 0.2582194726 43.43697096 -10.07330807 27.02612531 0.236855249 5.157000003 -9.869468722 25.42221723 0.2697017863 4.004488703 -13.56848067 31.25428788 0.2698774572 -20.74695974 -10.58765676 13.40112142 0.1295782095 42.89018946 -12.57218563 11.19467794 0.250133158 -11.0056467 -11.11495516 27.01773473 0.2495737515 24.25350453 -9.954039301 24.85641923 0.06430969039 -9.165105981 -8.609894606 16.16748879 0.2693821602 10.90936854 -10.46481112 17.95232833 0.0754757014 11.38937309 -5.548023497 20.24753837 0.07412196964 23.52836564 -8.285763185 13.19995618 0.05371451354 -8.111689198 -9.479054408 12.215861 0.0621691018 -46.69167865 -13.23001983 23.39242921 0.246204843 -9.999474049 -5.901458136 10.63921295 0.07917596128 -47.35731098 -8.816878533 14.7239349 0.1558443365 28.16412847 -11.05737183 12.32084681 0.3964339477 -8.951824895 -11.10629203 33.481625 0.2950253629 19.55065979 -7.266815859 19.38514008 0.02890041093 -46.76735671 -8.446020394 17.63094295 0.1045786158 5.747651692 -10.03026601 22.10644524 0.1386633828 30.07509054 -10.57704974 23.59980066 0.2819532266 4.009713275 -10.73843682 14.36967764 0.1338848824 23.28015449 -11.19220145 19.86411374 0.1313597589 -1.899813944 -11.62170356 26.13255675 0.3505354051 44.54958826 -10.01793657 15.82300953 0.2806741191 30.29808268 -8.298818936 9.708755997 0.2025308645 22.92734901 -11.81901525 31.7640736 0.5210417789 31.35970081 -9.401032938 17.17044549 0.08323685946 -38.71355023 -10.52250345 14.15891887 0.04009414012 -24.48539117 -9.338058886 22.49595182 0.08213828499 17.21637803 -12.25212813 21.98269483 0.1420362312 3.965036992 -10.17388263 17.99059451 0.07160151575 -27.14134949 -8.76218177 16.78703224 0.2871328583 48.08940055 -11.6598737 26.64705717 0.3275863641 16.13055168 -9.155529408 19.82825575 0.1506869015 44.52362901 -9.968969383 22.99296657 0.06022096373 -11.72405723 -7.655152652 30.2831911 0.4057839726 32.59146753 -10.18376247 11.79626312 0.2232988058 8.834688789 -11.35637753 21.85799534 0.3078887728 34.81029881 -10.39731899 13.65249797 0.2243412329 -47.02825772 -13.31938111 13.80877813 0.2051920752 -11.13507566 -8.926102838 18.91157346 0.1437803598 13.51879485 -7.005837759 16.31736995 0.05555882543 13.7433381 -9.081980412 18.47846581 0.2190277987 39.9583069 -10.71204645 19.21294682 0.1044665299 -43.9979285 -7.360602894 29.33163038 0.08707456119 21.71760749 -7.950837721 11.70100793 0.3646821814 44.27366942 -10.42704233 18.22496485 0.2009886368 10.79271861 -10.71931815 16.42623663 0.07443472981 -49.50791788 -8.259911844 14.42153699 0.02491180121 29.01922163 -10.05812774 27.10557874 0.166555336 -48.75072225 -10.36418342 19.81868756 0.1670193583 -9.383642884 -9.98585285 11.95825532 0.1310597332 -16.56852712 -10.46761441 27.73239411 0.1444263879 -28.25224401 -11.0134982 22.07800948 0.06177440784 -36.28918554 -9.169772816 24.31550308 0.2411325428 44.12087569 -10.16764387 25.46475799 0.274299958 -3.124659889 -10.66716818 16.23506322 0.1111683474 -9.392436646 -8.224365023 10.6508611 0.02053435198 5.687401848 -6.233670683 26.3234358 0.04602627796 0.524748528 -10.41920667 22.9592077 0.1713846695Explanation / Answer
1)
To identify the distribution, we use Stat > Quality Tools > Individual Distribution Identification in Minitab.
We select whose p-value is higher ,
We have chosen C2,C3 as well as C4
C2 Logistic
Location scale
µ = -10.02255 s = 0.99285
C3 follow Lognormal distribution
Location scale
µ = 2.93000 = 0.29300
C4 follow Weibull distribution
Shape scale
K = 1.63724 = 0.20379
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