COMPLETE ALL STEPS OR DON\'T COMPLETE THIS QUESTION AT ALL. READ CAREFULLY. Step

Question

COMPLETE ALL STEPS OR DON'T COMPLETE THIS QUESTION AT ALL. READ CAREFULLY.

Step 1: Using Minitab, create 100 samples ( c1-c100) of size 20 ( i.e., 20 rows of data) from a Normal Distribution with a Mean = 100 and a Standard Deviation = 15 .

(Why Mean = 100, and Sigma = 15? It's the Mean and Standard Deviation of the Wechsler IQ Test which is one of the two "Gold Standard" IQ tests - the Stanford-Binet is the other )

Step 2: Perform a two-tail hypothesis test (using the 1-Sample Z option) on columns c1-c50.

Enter a Standard Deviation of 15 and a Test Mean of 100

Step 3: Place a ' # ' after any p-value less than 0.05

Step 4: Perform a two-tail hypothesis test (using the 1-Sample Z option) on columns c51-c100.

Enter a Standard Deviation of 15 and a Test Mean of 110

Step 5: Place a ' $ ' after any p-value greater than or equal to 0.05

Step 6: Save the Minitab Project and upload to Chegg! Or provide a step by step on how you did steps 1 – 5.

Explanation / Answer

Step 1: Created 100 random sample of sample size using R studio/R and save file into csv that you can open in excel

Matrix=matrix(rnorm(100*20,100,15),ncol=100)

write.csv(Matrix,"Matrix.csv")

step 2: To calculate two tail hypothesis test we need

sample mean, mean under null hypothesis or testing mean,stad deviation and p-value

a) Calculated sample mean in row 21

b) Testing sample mean in row 22

c)corrospondin z test statisticsin row 23 (sample mean-test mean)*sqrt(sample size)/std.dev

in B24=(B22-B23)*SQRT(20)/15

d) calculated p- value using p(Z>||est statistics|)*2

B25=2*(1-NORM.DIST(ABS(B24),0,1,1))

e) Place a ' # ' after any p-value less than 0.05 and $ for p-value grater than 0.05

In B26=

IF(B25>0.05,"$","#")

No V1 V2 V3 V4 V5 V6 V7 V8 V9 V10 V11 V12 V13 V14 V15 V16 V17 V18 V19 V20 V21 V22 V23 V24 V25 V26 V27 V28 V29 V30 V31 V32 V33 V34 V35 V36 V37 V38 V39 V40 V41 V42 V43 V44 V45 V46 V47 V48 V49 V50 V51 V52 V53 V54 V55 V56 V57 V58 V59 V60 V61 V62 V63 V64 V65 V66 V67 V68 V69 V70 V71 V72 V73 V74 V75 V76 V77 V78 V79 V80 V81 V82 V83 V84 V85 V86 V87 V88 V89 V90 V91 V92 V93 V94 V95 V96 V97 V98 V99 V100 1 80.4397 113.5149 109.2091 103.2096 109.7388 120.6098 72.26293 128.7136 99.49374 113.7008 108.0805 122.9368 95.55178 111.4284 83.99277 116.1154 124.8814 84.44024 121.8792 104.9206 101.3194 113.5199 90.26217 64.30794 113.7885 104.9899 114.4338 109.0342 70.05938 94.10772 84.82781 97.90718 96.75889 113.8185 55.67489 110.3368 95.03696 113.6793 101.222 78.54255 93.93411 95.54974 86.8283 106.7858 91.12014 86.55272 91.89646 77.92326 89.29376 121.9103 104.5031 99.0038 92.46282 96.004 109.4101 96.59899 102.986 116.1136 83.36894 95.42285 106.047 110.5033 98.52691 111.0546 91.6376 102.4773 85.51936 82.50085 119.6508 88.54944 83.3045 85.55903 103.5515 125.096 116.9838 97.06726 88.25605 113.7615 110.3555 110.9925 115.0637 95.0272 105.4367 99.38596 91.80705 85.42724 101.5001 120.0034 111.5526 109.8833 108.9217 89.27849 122.3347 85.14851 81.74716 112.0086 106.0048 96.61195 106.3998 108.781 2 109.1087 100.7095 75.87514 95.70468 113.2136 122.9176 96.52414 88.01988 83.57975 115.9717 115.1302 90.92646 122.5569 110.4555 70.17084 98.56931 79.97413 89.74511 106.6847 59.17563 109.7582 88.8342 124.4298 95.91837 97.27768 97.20611 99.82906 71.61003 90.04383 94.07357 95.77126 99.61246 104.4262 102.7323 103.067 73.60406 122.2336 88.69694 91.01322 89.47289 70.63346 108.076 91.58403 137.4242 104.7439 59.94848 105.6132 85.79198 93.72985 93.64794 123.0365 111.0935 83.03139 103.5644 106.4847 75.12541 123.8303 99.87341 102.6767 98.45374 102.3144 113.7354 89.07459 86.4508 102.4492 100.7817 111.2783 147.5207 98.96827 115.3561 99.84581 51.79285 70.95574 106.5833 67.99596 89.40125 97.98605 73.64092 89.98881 98.96029 95.52264 124.9434 90.30244 100.7071 98.88436 90.72395 99.31354 79.18192 93.34681 99.35776 95.49134 94.2659 111.0362 110.9739 62.03098 88.7575 98.18852 92.89036 98.9268 108.8135 3 98.07651 91.27783 121.1406 67.69136 100.5313 99.3723 111.1487 115.7911 117.2198 110.8141 111.9287 109.8776 79.909 88.86195 101.7337 59.2343 68.81561 102.9641 97.43007 120.2888 108.3749 128.7786 112.2014 112.9413 92.98432 78.65488 89.62475 101.0012 52.33531 71.14411 139.9937 85.79569 108.2862 112.52 86.97489 112.5476 112.5659 101.8247 110.0054 87.16746 93.05215 92.10775 89.80842 90.70056 87.46669 92.69002 86.46717 101.6691 83.272 100.1134 111.661 105.2587 95.11287 97.64802 106.3426 109.9138 79.95009 112.0952 106.293 86.69981 92.87038 108.4973 99.8851 111.9877 110.1767 96.24508 110.3856 83.73366 119.9681 107.3906 88.47574 74.12857 115.9564 109.4753 104.3421 91.06955 108.766 100.1579 101.4289 65.68185 87.53746 83.83225 98.5726 124.9304 97.08755 98.34823 87.5409 85.03946 88.71779 116.9925 107.5034 96.71487 90.39537 72.44978 101.0691 112.4441 98.97323 74.77658 112.1544 120.3711 4 103.7309 115.318 81.61698 110.0898 86.88367 92.5146 119.0746 103.2855 86.61137 111.129 94.16145 81.9632 100.5268 69.99138 79.59848 93.93865 85.28468 115.4077 104.2834 96.28057 81.54119 77.84621 111.9448 116.9664 102.5512 97.35764 111.5705 124.9521 121.0972 107.6919 139.0229 87.1654 100.7223 124.8645 77.72375 111.4708 117.4199 135.7621 94.58602 120.6627 90.05628 87.24436 111.2824 121.5842 111.6626 101.9689 104.2294 112.1039 94.92679 120.5948 112.4002 107.452 91.51229 101.6655 101.5612 108.6048 87.47734 68.98687 91.55755 101.6987 98.08524 101.5716 113.9321 91.14225 95.01702 93.92649 129.9977 97.90439 132.2401 76.53595 83.60358 103.2487 102.4221 114.0799 113.139 108.6063 90.79077 93.16852 98.36313 103.3056 82.94792 101.9716 113.7497 78.45626 72.98118 114.4923 99.71358 110.9996 112.582 67.54621 141.214 105.724 110.0458 80.56479 93.03551 90.99159 107.2252 92.20329 95.43939 62.73106 5 83.40272 119.3472 114.2342 93.25854 99.7588 91.66715 110.1432 99.55583 118.0571 104.7173 124.9277 102.5992 117.6116 106.8463 131.5992 111.4246 95.82419 125.4062 96.4162 129.0133 102.2007 125.4376 96.33413 106.5696 129.613 89.85438 83.52316 118.5133 96.80716 96.1027 89.17 98.55888 103.3731 95.04098 61.1753 93.05191 75.42828 88.26426 89.01178 115.8302 116.6626 83.23056 72.93757 108.517 109.4748 110.7946 107.9342 85.60346 82.87524 87.48209 89.49287 105.3851 109.3267 124.805 96.78053 64.63301 93.96897 66.49121 133.9809 100.5007 106.3737 110.6343 116.3345 97.74955 101.4591 88.82884 96.78236 95.18032 116.7169 107.8002 106.644 103.3193 112.1726 107.248 124.5409 94.1871 85.35819 106.8243 73.84573 103.2792 124.9444 113.4097 102.3811 128.8099 108.5037 98.39221 87.39596 109.8492 108.1495 93.75522 78.40888 105.7757 97.79654 93.90586 109.7599 87.16299 90.92146 113.9326 106.8859 88.45338 6 91.64835 105.0231 85.3283 94.32772 70.04537 83.64756 138.2186 97.57897 115.173 94.11019 109.1148 92.62024 100.3657 67.87555 104.1453 96.22666 109.8427 121.8609 94.24406 113.869 100.2696 87.4586 93.97011 86.13467 112.6748 101.3814 83.7539 62.36633 117.6998 99.49236 70.08851 104.5075 86.22433 102.9804 106.9472 83.98464 116.1145 111.768 95.09518 118.654 117.6143 101.8535 79.44801 127.1376 100.7563 118.1813 98.20423 102.2941 89.41567 121.6103 91.86322 123.6618 110.342 91.57222 135.736 77.74653 82.41756 83.70315 109.8589 111.878 104.7945 103.5358 103.8641 93.61255 105.4765 108.7046 87.61688 117.7874 103.7857 88.16619 109.3533 105.2603 80.35108 109.8895 102.0849 112.4327 99.69557 102.8943 108.424 102.9896 116.9329 106.0149 98.26676 90.57648 91.54429 123.9532 99.89905 116.7171 101.9396 84.71349 78.62286 107.7954 83.57698 96.30896 102.6725 88.99647 94.10182 95.52258 95.65068 87.30816 7 106.88 99.36185 96.12398 106.451 118.348 148.4932 115.3933 102.488 107.5208 122.2376 92.38927 89.75073 101.3263 110.066 103.3916 98.4266 107.5243 99.14577 88.11819 85.04398 109.9385 96.68302 100.5494 93.21716 109.3662 87.2008 94.35389 99.74082 114.127 89.47259 115.5884 118.0797 103.9218 82.18376 86.51226 81.88089 93.50829 87.45811 90.84479 103.9138 107.9485 103.3598 93.84674 82.08337 110.625 102.48 89.87123 114.5001 88.84927 107.1158 99.62172 87.73953 114.6575 86.97038 79.58818 82.37574 98.72834 55.26621 106.9528 96.04677 97.32124 117.366 126.3553 80.73365 105.8618 114.1538 123.2971 128.9708 68.44459 84.51689 78.6871 101.9718 88.88989 97.44463 94.3508 88.66258 93.4416 134.301 119.4689 75.55613 105.1723 118.4809 70.87894 94.00429 90.43523 106.3429 91.16403 126.7288 86.24952 131.7905 100.4214 95.94822 130.0726 120.7795 77.49507 92.08391 101.5227 93.91387 95.66263 95.04623 8 98.23995 99.98354 85.97708 91.12305 101.763 91.53169 99.86163 126.2751 94.88184 112.1098 112.8103 84.62786 95.67492 72.04269 101.9736 113.4031 81.89551 66.26394 104.7063 107.522 96.27467 83.29917 113.704 105.3211 106.0544 90.00332 132.5893 105.8825 92.07799 134.6693 93.28715 84.03031 86.47141 88.39081 96.19158 73.25239 70.55385 89.88869 102.407 100.5854 59.86133 125.2527 108.262 88.21727 87.97851 87.11482 119.0698 93.46193 90.43587 125.5485 111.2771 122.3608 104.3816 117.1738 116.5506 93.84166 102.1938 80.19512 111.39 110.3846 104.5441 109.6446 122.9199 100.5254 102.7789 103.7216 88.29155 115.0196 101.4425 76.34418 100.1076 96.42767 85.15048 73.60766 96.45928 101.888 94.80689 114.0149 112.2912 68.53935 121.4714 108.1683 85.83359 105.8962 118.8723 129.0555 82.87488 133.0391 107.4832 85.37269 105.8177 57.47073 109.2401 94.8369 115.3972 97.19242 100.6809 111.0101 109.37 94.03931 9 92.91574 92.96318 100.1709 106.9526 106.3543 111.5915 79.97031 117.9328 77.62129 109.6814 99.86046 105.8782 99.68137 100.193 66.80417 91.24387 92.68759 96.65754 89.22674 105.4043 86.98963 109.854 79.99352 101.9143 105.1048 113.3613 104.5161 98.82913 109.6471 90.98712 100.507 82.36284 97.14413 93.8578 97.46428 114.6761 57.30467 87.45295 112.9547 121.8184 104.5876 92.49481 109.5229 96.92483 113.4259 69.15824 92.82023 91.93435 123.1025 105.3506 95.33252 102.8511 74.59763 108.2819 99.79759 105.2386 115.7146 104.5219 82.44447 113.7699 132.7694 97.95712 105.7829 89.65808 96.15058 83.12037 114.688 100.7769 114.4897 124.2213 77.64335 90.53392 121.9068 112.2986 113.3934 89.35768 104.5803 85.5206 138.283 116.1672 100.5288 103.8361 105.0839 71.99754 106.4222 88.74417 91.26157 116.7476 93.72088 92.68947 81.20096 101.5579 103.592 108.5378 85.50839 84.82823 110.5357 114.9228 111.5627 121.6225 10 88.96188 104.1641 93.4245 88.16894 94.48902 109.4169 98.51798 102.3973 97.75676 103.7881 101.7723 75.50488 140.8476 113.3597 89.69853 105.9322 92.841 95.01653 76.54383 99.45255 123.7396 102.7568 92.98898 108.0291 60.16182 68.89564 106.2895 98.36269 106.9154 106.4273 118.836 98.32923 112.914 83.38148 101.1273 108.9069 110.7477 88.85774 132.4928 78.85269 77.79799 107.23 104.8952 136.9278 103.6278 129.5183 115.3034 105.0521 94.15665 95.43742 84.36569 103.6503 91.12724 66.03687 107.8538 115.3716 101.0958 95.70253 100.1064 105.863 106.8846 65.61326 87.9302 105.1074 81.43137 72.24849 82.64261 103.4029 91.12936 94.68741 101.5422 127.9954 108.7906 113.34 92.43504 88.35775 69.63916 94.64751 110.9596 66.53028 100.6245 110.5062 95.50162 115.1695 95.2717 87.88912 96.59946 113.8487 106.7373 69.85656 97.48869 87.12987 112.0893 125.1277 103.0931 159.4161 88.31094 91.44208 87.90976 117.0287 11 81.73811 88.9435 73.2914 93.58701 77.18884 110.0198 84.00159 104.6419 109.1452 110.7938 75.01984 89.30488 93.97422 89.47783 85.96273 106.8793 98.71818 102.1945 100.1398 106.5196 117.7757 121.3101 106.2621 127.029 98.02124 94.27859 99.52611 92.46301 92.06588 81.20679 94.90679 123.8821 90.84455 111.2421 93.47507 108.6083 117.6702 101.3378 109.2225 90.38887 90.04927 89.68333 110.7819 109.6443 76.61961 81.8346 81.87395 135.1308 122.1768 106.1167 100.2698 95.93159 118.3397 83.07333 109.7646 92.92953 93.47214 133.9114 107.3793 125.1592 72.35955 89.14867 89.38706 75.55944 75.15854 91.15688 106.022 82.93326 99.36405 64.83868 101.5155 103.8306 104.1242 107.2061 103.4998 98.05319 79.67671 66.05627 99.66321 86.52797 104.9648 99.32434 126.55 102.4748 102.5741 94.45866 82.32996 85.7329 68.75246 85.23388 110.7421 109.4156 124.2354 116.0079 101.1373 108.4001 119.6116 127.2463 89.34627 106.4075 12 108.8197 131.09 101.1528 119.5377 102.753 99.65745 82.62141 97.30382 118.438 95.91924 110.0605 89.69778 91.60831 87.83711 86.69831 98.19954 77.77853 101.775 106.9205 89.97963 108.7564 95.51086 81.30063 111.6276 107.1484 78.28171 103.4374 105.7187 98.15787 122.607 87.34107 110.3468 107.7058 117.5129 87.92084 104.4515 95.43498 92.46117 76.41313 100.7131 117.7528 75.71845 104.842 108.8196 106.6269 104.5537 107.2139 93.26981 109.9342 124.1172 84.15265 91.42316 85.532 109.7633 103.5905 109.0434 112.3608 107.7266 93.65449 117.3024 73.08325 83.79346 109.6355 96.81235 119.5728 88.84944 84.44373 97.29495 105.7152 93.30453 84.18932 96.5913 114.4718 98.33346 108.5575 100.5629 108.8201 86.41852 74.90436 115.4079 98.57884 98.87602 99.27505 82.52131 92.36195 138.1878 99.85108 96.72174 129.6918 78.41335 87.15746 115.62 90.59705 79.68467 86.29002 133.2253 111.1862 89.36139 98.45065 120.8312 13 100.5078 112.1021 94.51046 95.71189 57.67594 101.1308 66.56264 95.06335 64.85385 86.97109 99.49492 96.01039 89.24681 76.32986 105.7034 116.338 91.77066 135.7633 77.21704 130.5703 124.6196 110.9787 128.2426 90.40128 100.1636 80.23391 94.73584 74.50327 82.08916 136.3474 90.49825 87.70445 95.73595 124.2044 112.1778 114.058 108.3931 99.92671 108.9698 90.80727 91.20158 109.0542 100.8819 111.3552 101.6905 98.68303 108.9871 82.40831 78.98195 88.28408 88.38153 100.8826 93.25226 117.2287 96.4722 80.89504 86.9214 94.80097 90.63251 96.67751 108.2266 105.8268 104.2014 76.81384 100.1209 99.48954 92.00474 103.2196 79.50892 117.6473 119.3254 93.61738 111.4061 106.729 107.1738 85.42966 107.4308 109.4866 76.84629 77.71082 108.6585 112.219 85.49025 93.04298 93.03463 86.33033 109.803 89.74966 106.0717 97.01002 74.70114 93.80174 90.45181 86.27939 105.6604 98.85389 84.35724 88.89113 104.2989 97.72502 14 138.3811 91.99515 112.6849 120.1385 94.26362 110.0987 77.72051 92.03287 119.0172 99.32737 83.34602 80.33457 98.50016 127.1535 105.4383 129.5693 75.97829 135.8911 115.4704 102.0182 86.35207 80.96021 134.3251 95.33045 73.71766 104.596 81.03104 128.2405 106.15 139.9285 115.3141 97.01019 95.13239 131.8434 104.7638 98.10657 124.4336 111.5429 79.75175 122.8595 93.30285 110.5768 105.6678 87.7148 97.94803 76.60209 112.4385 79.91003 92.95372 104.2639 97.19573 126.1961 89.99699 93.44376 108.253 96.53495 93.66769 87.63562 99.42624 78.04883 67.35833 96.85999 98.96282 110.0717 125.3907 114.7866 65.13977 102.0184 83.35651 83.88967 112.9974 103.3167 96.69356 81.10085 123.7931 101.3405 96.33567 105.8872 105.4661 118.4732 124.9716 105.9595 98.03111 80.03911 71.99826 122.8146 116.6893 120.1279 78.24405 99.61718 96.76277 89.24868 94.36007 118.5102 92.73236 77.41328 115.045 93.33943 109.1747 71.93517 15 97.75719 94.99533 112.9506 105.0467 91.47629 93.23062 99.53609 70.51721 110.4433 127.0312 86.70656 112.3239 119.4043 106.283 106.0326 114.252 92.52844 72.97905 77.53863 101.6449 96.09671 102.7948 118.5167 81.58375 104.9934 114.7223 119.7383 95.96978 119.7772 92.41732 117.8828 91.20104 96.25291 112.7879 102.2227 87.67104 78.37284 113.6353 81.00088 95.01526 107.3654 128.3895 104.4651 73.38582 105.1343 95.60778 76.4759 91.98347 82.1885 109.071 106.3787 125.857 107.8542 68.47202 60.53584 113.5433 83.38785 95.41784 112.4504 117.9805 118.5619 120.1601 70.07378 109.36 115.3747 99.64132 78.0026 109.7959 105.04 63.72908 92.34347 113.2612 71.0117 94.02443 84.30251 95.41694 110.3063 63.03911 92.19245 98.1609 82.57958 82.66948 86.81248 96.63953 106.1244 55.67804 77.44263 144.1001 78.20948 110.0476 110.3765 95.02956 114.8599 100.2054 116.0156 93.49435 96.69019 110.9994 87.81477 104.3791 16 91.02199 121.4318 92.73939 91.28261 113.527 76.64692 93.71381 107.6237 95.86634 121.8882 77.98336 93.39793 107.2827 75.86199 107.483 100.9652 122.6569 112.4027 78.87463 117.6245 77.98292 94.89651 84.1073 102.6282 122.6327 111.5751 82.60779 90.085 104.0216 85.26013 117.9661 100.7025 81.38119 85.98192 92.92731 110.2967 117.9738 99.74807 91.40207 112.0773 91.30677 114.1771 125.6866 83.62106 103.9815 104.2801 89.15179 96.59843 99.56936 95.62448 86.26399 88.1341 119.9879 105.9073 99.55864 69.79124 78.67884 90.6985 83.77793 108.909 107.2131 98.44799 89.49054 90.60036 107.2984 80.85205 96.42247 105.49 97.38876 95.31065 104.4226 94.09187 99.78321 96.64865 88.92365 74.71565 93.29163 86.65306 119.5727 98.15305 102.1378 102.5081 108.1847 80.22875 109.0786 94.38844 76.31714 98.39881 113.1506 86.2519 87.72435 103.3887 62.00464 80.03607 91.99383 102.7266 95.88949 77.43737 119.4534 119.1247 17 126.0176 67.76007 93.01322 128.8568 114.4628 79.84142 98.26514 86.71377 114.5654 103.4598 111.2799 95.29156 83.6969 119.7424 94.75684 101.5647 96.14155 74.9432 105.7939 79.10712 128.3392 98.37246 116.0035 95.54802 71.53834 97.10392 114.3764 118.5474 125.4851 86.80812 90.80129 112.8998 102.6823 101.3473 109.8431 63.41158 82.32082 103.9349 97.7656 93.5373 89.25811 98.89658 95.59163 104.1602 94.36388 97.34673 104.7161 134.52 102.7802 126.2006 110.4681 111.3229 87.9485 94.03886 104.4529 96.79893 74.20672 102.2281 101.3493 77.02651 93.29678 95.33834 104.7233 82.48165 98.34313 120.7644 100.683 116.9705 114.0338 110.7435 92.17458 102.4504 117.3409 75.44464 103.0144 83.2543 109.1218 77.60873 100.7712 107.9335 87.68009 85.52122 102.5239 99.6818 91.37586 78.76416 115.6975 95.93971 87.53307 91.43706 97.93938 78.18701 103.0142 137.2632 97.44401 125.7022 123.2244 98.6928 66.18226 125.6378 18 101.9307 114.9519 88.25855 88.205 64.99327 89.91899 98.90662 75.40123 101.472 84.48837 92.03963 78.45815 83.57567 131.9031 93.84997 68.3868 94.15372 104.6054 72.2169 99.6811 103.6701 67.92177 105.5098 113.2912 95.1106 79.17461 69.49465 114.9898 84.42776 75.08711 101.7784 85.92544 66.79254 86.9037 110.4055 108.4885 94.84482 117.6196 102.3717 99.4148 97.79743 87.97666 105.4992 91.01808 102.7722 123.42 87.8816 70.86507 106.2496 92.04747 96.16171 80.13972 84.80472 99.81858 121.3354 96.48232 76.87702 84.16731 92.66031 90.50692 79.68927 74.76594 108.4327 114.8723 95.24788 107.1209 119.0128 90.4589 111.1851 112.561 113.7239 88.65475 92.27544 110.0935 105.8246 97.46919 112.0167 86.3216 79.56824 84.72351 84.73015 103.746 70.95039 99.5677 105.0337 69.49303 100.4665 84.01315 92.387 94.10168 119.5483 121.6729 126.4326 97.50908 104.9332 102.9732 118.1287 87.78528 87.55671 89.89522 19 99.88092 102.6054 92.52044 106.3992 96.35708 95.8112 90.0247 86.07038 109.8704 105.6719 72.68565 101.8691 117.5438 88.13028 99.91566 83.43504 106.3209 117.9482 86.86003 97.85677 86.84851 79.85954 115.7766 81.19738 78.32298 130.1513 91.84144 101.111 91.28378 98.68153 107.4644 134.3244 109.5073 109.4067 98.01959 91.21814 98.96462 101.571 92.50421 84.10025 82.78167 83.71591 87.61718 106.3524 104.2217 122.15 101.7019 123.7358 117.4177 96.58983 89.71319 111.5369 103.3437 112.9673 92.9522 93.43598 81.60033 99.19653 98.58709 118.0615 123.4417 81.6565 83.95686 110.1934 106.5211 105.209 121.5775 114.3482 87.283 105.5625 100.852 98.7649 110.4551 101.8489 112.5673 110.12 78.30513 107.6899 91.56377 99.68505 93.80208 134.7379 97.58764 72.16659 86.00526 105.5962 91.40666 79.72332 106.1794 122.719 88.42721 84.70951 115.1166 87.16558 107.6104 106.2119 104.0309 96.74391 108.4435 100.1855 20 82.96272 58.55711 103.8427 85.12468 109.7562 117.4199 102.3345 90.19401 101.8708 95.76582 82.27697 48.44134 110.3898 106.7173 105.8874 95.54504 109.9686 99.41461 106.4211 101.541 100.3439 90.92063 107.46 141.384 110.9179 88.64189 116.1119 84.2734 99.48963 91.6104 108.9476 89.9977 109.9357 104.3712 96.33452 119.8193 90.67272 83.58441 111.9689 99.39658 118.5517 104.9202 114.5381 70.71663 106.6911 117.6154 95.76981 89.02256 94.9586 82.20515 96.55904 118.2204 78.62074 110.1889 110.9089 67.38612 110.6697 78.48812 104.5491 112.7731 97.12301 83.12765 108.1327 104.5073 97.12137 117.4702 101.5745 110.468 81.95299 109.1054 116.4754 86.33362 98.8414 97.92911 98.36207 134.1104 93.57347 128.3 116.1661 102.2284 94.30308 119.2088 83.72834 103.14 103.6132 104.726 98.73485 118.6791 61.58146 101.9876 107.0498 98.61455 104.4353 99.98313 94.53349 87.39837 132.5839 118.0112 80.29384 85.17675 Sample Mean 99.12111 101.3048 96.40326 99.54337 96.17899 102.2769 96.74011 99.38002 102.1729 106.4788 98.05346 92.09074 102.4637 98.02785 96.24182 99.98247 95.27934 102.7413 95.34928 102.3757 102.5596 97.89969 105.6941 101.567 99.60718 95.38324 99.66923 99.80971 98.68791 99.70615 103.9997 99.51718 97.81065 104.2686 94.04743 98.49209 98.99975 100.9507 98.55017 100.1905 95.5758 99.9754 100.1993 102.1545 101.0466 99.02504 98.881 98.38893 96.86341 105.1666 98.95491 105.9051 96.81164 99.43121 103.3965 92.31455 94.01026 92.86101 100.6548 103.1582 99.61791 98.40921 101.5801 96.96472 101.6294 99.47742 99.76912 105.2898 101.5832 96.01303 98.36133 96.05752 100.3275 101.9211 103.0872 97.07514 96.10995 96.81961 101.0062 95.05032 101.6576 105.548 96.25706 95.97181 96.65048 98.69031 95.30009 106.2671 96.61401 95.93885 98.77599 96.56746 104.7844 99.56391 96.50797 102.5141 104.8606 98.28672 98.54886 101.2746 test Mean 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 110 z-test -0.26203 0.38901 -1.07234 -0.13614 -1.1392 0.678843 -0.97191 -0.18484 0.647831 1.931614 -0.58035 -2.35809 0.734544 -0.58798 -1.12047 -0.00523 -1.40743 0.817286 -1.38658 0.708298 0.763119 -0.62619 1.697662 0.467201 -0.11712 -1.37645 -0.09862 -0.05673 -0.39119 -0.08761 1.192472 -0.14395 -0.65274 1.27265 -1.77471 -0.44957 -0.29822 0.283453 -0.43226 0.056802 -1.31904 -0.00734 0.059432 0.642359 0.312024 -0.29068 -0.33362 -0.48033 -0.93515 1.540378 -3.29301 -1.22088 -3.93201 -3.15101 -1.96879 -5.27278 -4.76722 -5.10986 -2.7862 -2.03984 -3.09534 -3.45571 -2.51033 -3.88637 -2.49563 -3.13723 -3.05026 -1.40432 -2.5094 -4.17011 -3.46998 -4.15684 -2.88377 -2.40867 -2.061 -3.85345 -4.14121 -3.92963 -2.68144 -4.45713 -2.48722 -1.32732 -4.09735 -4.1824 -3.98006 -3.3719 -4.38267 -1.11295 -3.99093 -4.19223 -3.34635 -4.00481 -1.555 -3.11144 -4.02255 -2.23188 -1.53226 -3.49223 -3.41407 -2.6014 P Value 0.793296 0.697269 0.283568 0.891709 0.254618 0.497237 0.331095 0.853352 0.517094 0.053407 0.561681 0.018369 0.462618 0.556544 0.262512 0.99583 0.1593 0.413765 0.165571 0.47876 0.445393 0.531189 0.089572 0.640356 0.906767 0.168682 0.921444 0.954758 0.695657 0.930187 0.233076 0.88554 0.513926 0.203142 0.075945 0.653019 0.765538 0.77683 0.665555 0.954703 0.187155 0.994147 0.952608 0.52064 0.755023 0.771299 0.738666 0.630993 0.349711 0.123468 0.000991 0.222133 8.42E-05 0.001627 0.048977 1.34E-07 1.87E-06 3.22E-07 0.005333 0.041366 0.001966 0.000549 0.012062 0.000102 0.012573 0.001706 0.002286 0.160223 0.012094 3.04E-05 0.00052 3.23E-05 0.003929 0.016011 0.039303 0.000116 3.45E-05 8.51E-05 0.007331 8.31E-06 0.012875 0.184404 4.18E-05 2.88E-05 6.89E-05 0.000747 1.17E-05 0.265732 6.58E-05 2.76E-05 0.000819 6.21E-05 0.119945 0.001862 5.76E-05 0.025623 0.125458 0.000479 0.00064 0.009284 IF(B25>0.05,"$","#") $ $ $ $ $ $ $ $ $ $ $ # $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ # $ # # # # # # # # # # # # # # # $ # # # # # # # # # # # # # $ # # # # # $ # # # # $ # # # $ # # #

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