Please complete the following questions. Your answer to each question should have two separate sections. In Section 1 section, write out your answers using complete sentences. Include descriptive statistics in the text, or in tables or figures as appropriate. Tables and figures should be of publication quality (i.e., fully labelled, etc.). Integrate inferential statistics into your description of the results. Your answer should be short and concise. There should be no R code in Section 1. Section 2 should include the complete R code that you used. Add comments to explain what the code does. The code should show all of the commands that you used, enough for me to replicate exactly what you did. Check that the code runs in one smooth go when you knit the R Markdown together in a fresh R session. You can include figures here that you used to explore the data that you don't wish to include in the first section. I will use the second section to help identify the sources of any mistakes. The first section should stand alone without the second section. Use both null hypothesis significance testing and the estimation approach. While there is a word limit of 3,500 words, your answers should be much shorter than this, perhaps 100-200 words per question. You get credit for a clear and concise report, and writing more words than necessary is not required. The Scenario You work for a large retailer that sells food and a variety of other products. The retailer has conducted a trial of a new store layout and signage design. It is hoped that this redesign will increase sales. The trial was implemented in roughly half of stores, which were selected at random. You have data on the sales in each store for the last full reporting period prior to the trial being implemented ("sales_1"), and for the first full reporting period after the change was made ("sales_2"). The retailer operates 3 different types of store, the type for each store is indicated in "outlettype". The variable "intrial" indicates whether the outlet was selected to be in the trial (TRUE) or not (FALSE), and the staff_turnover variable indicates the proportion of staff working at that outlet that left during the period the data covers. Question 1 Did the new store layout and signage change average sales? Examine this in terms of the change in GPB and the change as a percentage. Which measure do you prefer, and why? Question 2 Now look in more detail at the effect of the trial on sales. Was there a different effect in different outlet types, and does adding staff turnover as a predictor improve the model? DOE Outlet Outlettype obc community convenience community_convenience community_convenience HD community convenience HSB community_convenience community convenience Dow: community_convenience 0255 community_convenience IV community_convenience community_convenience community_convenience KU community_convenience community convenience VSV community_convenience community.convenience community_convenience EN community convenience 327 community_convenience Omsw community_convenience NE community convenience TSX community convenience COU community convenience 914 community_convenience 8857 community_convenience community_convenience 2ZHC community_convenience SK98 community convenience community_convenience w7D community convenience WHn community_convenience community_convenience UHAY community_convenience UIX community_convenience 7QUT community_convenience ubar community_convenience VKT community_convenience Mcjz community_convenience YZRE community_convenience SqE community_convenience bzNY community_convenience QZQD community_convenience 5dQ4 community_convenience nkka community_convenience hQL community convenience QY7I community convenience TL64 community_convenience xiad community_convenience Jkdz community convenience community_convenience sales_1 sales_2 intrial staff tumover 5484254.896 5439510.406 TRUE 0.001108576 70950073267345761.734 TRUE 7823001245 7832001.763 TRUE 0.004677148 10865259.11 10630492.15 FALSE 10825610.86 10611860.2 FALSE 0.002058666 15629309.97 16313749.34 TRUE 0.001431571 5577459.128 5694953.301 TRUE 0.001484501 7580750.307 3597155.729 TRUE S308957.606 5523018.912 FALSE 0 13089081.09 13438804.88 TRUE O 9640306.635 9410215.925 FALSE 0.00226639 4996846.076 5346665.542 TRUE 0.001336658 8346496.943 7958658.602 FALSE 0 7750724.097 7907 191.943 FALSE 0.0019928 12298036.43 12722161.55 FALSE 0.002507664 13252451.85 13986832.89 TRUE O 6821443.597 7398664.972 FALSE 0 14997261.72 15483159 FALSE 0.005139156 12917913.87 12913410.51 FALSE 0.008808973 12067255.42 12145244.49 FALSE 0.012514127 12178287.06 12996190.67 TRUE 0 12792315.33 12323588.29 FALSE 0.001377886 14802055.98 16108742.3 FALSE 0.001462369 9349609.347 10106390.73 TRUE 0 11386641.66 11620882.42 TRUE 0 21892885.4 21211047.87 FALSE 0.001578203 7438504.268 7398788.94 TRUE 0.00697304 12291179.71 13109093.53 TRUE 0 6281008.453 6312704.187 FALSE 0.002102443 11991557.57 12360604.36 FALSE 0 14808594.06 14852355.02 TRUE 0 3430040.482 3754558.861 TRUE 0.001853645 9157224.124 9122964.44 TRUE 0.003884841 19740306.48 18514463.99 FALSE 0.008848982 8503384.552 7971304.336 TRUE 0.002125112 6327643.936 6570969.123 FALSE 12885044.54 13042803.04 FALSE 0.001686895 8678621.473 8658464.999 TRUE 0.005243768 16742142.29 16641584.47 FALSE 0 15212254.26 15505886.91 TRUE O 14152136.29 15793360.98 TRUE 0.001779373 6322592.166 6783884.928 TRUE 0 12524062.21 12756827.85 FALSE 0 12604635.88 12367263.06 FALSE 0 4240483.174 3857333.947 FALSE 0.005667838 13512855.45 14903669.98 TRUE 0 12310081.52 12640018 FALSE 0.00289234 7537878.848 7443223.58 TRUE 0 10477042.26 10286327.42 FALSE 0.001136199 R216 7500 WP bi Community.com Community convenience coouunity convenience community convenience community convenience SER Community_convence community convenience un community_convenience community conveglence community convenience comunity_convenience community convenience comunity_convenience community convenience community convenience community convenience community_convenience community_convenience int community convenience QXL community convenience Moum community convenience his community convenience community convenience community_convenience community_convenience community convenience 582 community convenience community_convenience community convenience community_convenience community convenience UM08 community convenience evis community convenience XCTN community_convenience NIP community_convenience community_convenience M2 community convenience 20 community_convenience community_convenience aju community_convenience OYS community_convenience oves community convenience oly community convenience community convenience 160 community_convenience community_convenience D7g8 community_convenience community_convenience community_convenience 1893023520030378.82 FALSE 1409359912351023628 FALSE G00196565 680858035394905142 FALSE 0.001163 11550206.49 12529096.34 TRUE 0.0015-49176 12757107 05 130355451 TRUE 1338722.62135458.36 TRUE 0.00354442 9411514.249.0056342.396 TRUE 0.004745357 15525427.58 15874945.03 FALSE 9572699.86 9554747 489 FALSE 0:001631998 10399055.61 11124393.68 TRUE 0.001109821 1.4361609.74 4762479,05 TRUE 0.001799475 1798238217317062940.01 FALSE 832777.291 8598257.347 TRUE 10405261.36 10483454.98 FALSE 0.001255951 10974625.07 10390337.21 FALSE 24505120.97 14062283.24 FALSE 0.002175665 16859881 53 16467607.16 FALSE 0.001895636 17541255.19 18417700.34 FALSE 10411158.96 11379194.02 TRUE 14641206.72 13700554 54 FALSE 0.001394632 8163091 3127882802.045 FALSE 9319564.544 8812846.719 FALSE 0.002885227 7074705.48 7460601.863 TRUE 2396891.726 7722573.013 TRUE 0.001608641 13377351 56 14353055.74 TRUE 0.001072974 13905970.75 14127029.86 FALSE 0 007040327 12006795.06 12248669 51 FALSE 0.001422621 8543884.579 9142100 857 FALSE 12296552.42 12351189.58 TRUE 0.001813148 7047946.711 6838944.599 FALSE 0.001318612 5259783.097 5608889 31 FALSE 0.002885445 9441827.291 9316628.007 TRUE 0.001629891 9758872.205 9955910.349 FALSE 0.002502526 7904466.358 7973701.062 FALSE 0.006098341 4483804.255 4857503.799 TRUE 0.001165365 9714901.901 10656632.56 TRUE 13161266.19 13576954,63 FALSE 14101450.63 13546184.92 FALSE 17171867.28 18201932.77 TRUE 0.001432788 11372260.83 11275258.92 FALSE 0.002097749 19829512.18 20616478,46 TRUE 0.001254537 12866786.36 14112189.92 TRUE 0 10661034.82 10378456.05 FALSE 0.002528901 4713206.282 5119912.718 FALSE 0.003278977 20438845.09 21378135,38 TRUE 1646214438 15934982 51 FALSE 13534560.27 14286782 TRUE 15349894.08 15402386.8 FALSE 0.001274163 15070030.71 15371230.74 FALSE 14374328.06 13086859.17 FALSE pose RVG 19 IN com_convenience community convenience community convenience Pand community_convenience community.convenience Vos community convenience full community convenience VC30 community convenience community_convenience community_convenience Nula community.convenience community_convenience community convenience community.convenience ok community convenience community convenience Now community_convenience ARXO community_convenience community convenience OXOY community convenience VSIS community_convenience WYN community_convenience sal community_convenience community_convenience wex community_convenience baba community convenience tra community_convenience fokp community_convenience Mw community_convenience vm community_convenience b5ek community convenience PFM community_convenience Yo22 community_convenience der community_convenience Pn72 community_convenience eek community_convenience NbxD community_convenience kops community_convenience YUFD community_convenience community_convenience community_convenience community convenience community_convenience C3cn community_convenience CION community_convenience 3QYO community_convenience poz community convenience 2MGY community_convenience WcXs community_convenience 7aM community_convenience 1468409901 15340860.23 TRUE 0.00135847 151370410215522898.03 FALSE 0.001231554 8791922:5279408218.752 TRUE 10264788.55 10194193.44 TRUE 11645425110755595.67 FALSE 0.002767273 52240202789359045 941 FALSE 19430329.63 19847604.24 TRUE 0.001065231 6652858.651 6865656.255 TRUE 117346375 11443668:21 TRUE 0 432718.277 9030471.553 TRUE 11543250.25 12104757 26 TRUE 0.002645168 11831708.2 10992450.4 FALSE 0.016679355 11048629.03 11176960.49 TRUE 0.001044 1383555.507 1458333.654 TRUE 0.007542418 3013614,414 2933493.84 FALSE 0.01328794 13857259.08 13908016.25 FALSE 8099941.438 8479870.338 TRUE 0.001063573 11571384.63 11708125.61 TRUE 0 14153149.4 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15801055.76 16773901.03 TRUE 6365747.502 6283773,977 TRUE 0.004009816 5944223.758 6115110.997 TRUE 0.001507074 11498960.43 10990730.81 TRUE 0.005459382 Apy U2cp 9zgr Ernb 0.003075821 11 FALSE 0.0097201 FALSE 0.001324033 1839353793 FALSE 0.016262559 1310719.11 TRUE 0 THUE 110817 TRUE 0.003139217 15470 TRUE 0 632 1330222159 TRUE 0 10.11030211000 FALSE 0.002851291 515101407172.15 TRUE 0.003360386 51417.207454087.759 TRUE 0.002442117 499.77 15785870,31 TRUE 2461086.73 17026195.88 TRUE 0 12176398.8 12885677.81 TRUE 0.001251673 1838006.01 11605446.75 FALSE 0.001199259 10785035.79 11624980.57 FALSE 0.0124177839 947084727539491203.912 FALSE 0.002987773 6435943.904 6740769.074 TRUE O 10190353.91 10934295.77 TRUE 0.001140182 7569895.697560054,539 FALSE 0.001585345 11910505.03 12482707.32 FALSE Q 13809059.37 13456110.41 FALSE 0 10185844.85 10875269.97 TRUE 16743109.48 16497831.24 TRUE 0 17479834.44 16552465.75 FALSE 0.002046257 15801055.76 16773901.03 TRUE 6365747.502 6283773.977 TRUE 0.004009816 5944223.758 6115110.997 TRUE 0.001607074 11498960.43 10990730.81 TRUE 0.005459382 nvenience convenience it conveniente convenience convenience y convenience ty convenience imunity convenience y convenience convenience Von IN FAL GOX6732 1.6016 0.00111567 0.004322818 NUR community convenientes 131216167.75 TRUE Community convenience community convenience community convenience Big GRAD 10.668 FALSE 0.00166576 0001944675 DAS X780 105 H | | | | | | | | | 1062878811027896, FALSE 0.00100329 community convenience community convenience 07610157241035 FALSE 61011415 Th FALSE 8028166.413 8033117 FALSE 13374007 TRUE 0.061885129 0.002666167 0.062705241 G 0,001110706 0.00205409 0.003R0402 0.00211541 0.003001799 300 community convenience 3 community convenience 788 community convenience SO comunity convenience 60 community convenience community convenience community convenience community convenience TOZ community convenience 6649 communit convenience aque community convenience CAY community convenience OOR community convenience SUMC community_convenience Zeoz community convenience Houz community convenience community conventence community convenience DaM community_convenience W30H community convenience Ogri community convenience hamg community convenience WhG community convenience 090858494 9253201.416 FALSE 10476931.81 10630076,65 TRUE 8391983.103517800.242 FALSE 105909397211004190.61 TRUE 150177477 1778119.24 TRUE 11355658.95 142626807 FALSE 437492.011 8134199.683 TRUE 10461220.91 11120838,56 TRUE 10875948.49 10801208.45 FALSE 9879497.181 9193203.655 FALSE 10750446,54 10587031.99 FALSE 10176588.03 10433817.20 FALSE 19281970.98 19300770.09 TRUE 12271196.77 12331828.17 TRUE 13216269.4 13509540.44 TRUE 9176436584 9259270,515 TRUE 12097165.2212660661,87 FALSE 12262854.68 12508005.81 FALSE 12658697.14 12353969.65 FALSE 0 0.00457586 0.001407434 0.001665577 0.002270732 0.002804894 0.003031199 0 0.00113592 VOB community_convenience 6&VH community_convenience KZSR community convenience QYC community convenience VISN community_convenience In TR community convenience 4 NOO community_convenience Emoo community convenience OS community convenience swG community_convenience CY community_convenience community convenience Suzw community.convenience community convenience WAXd community_convenience 62x community_convenience 601P community_convenience CUEY community_convenience Gwwu community convenience wils community convenience 6SVZ community convenience gFRX community_convenience ZUA2 community_convenience 600k community_convenience ONLK community_convenience cdyr community_convenience PVR community_convenience UILF community_convenience mIFT community convenience 4.00E+74 community_convenience Ryxn community_convenience XSDE community convenience aGkY community_convenience 6992 community_convenience 1b6V community_convenience BVNa community_convenience vaol community_convenience b7 community_convenience UMhw community_convenience Jor2 community_convenience community_convenience ESsn community_convenience 24FE community_convenience akzh community_convenience olcg community_convenience community_convenience nv4f community convenience zF2z community_convenience 8ATd community_convenience z6h0 community convenience 11884665.23 11152381.94 FALSE 0.000696496 18675607.91 1998.8082 FALSE 0 4599205.4 5009695.492 TRUE 0.001965521 13205620.78 1427590241 TRUE 0.001368228 13150219.05 13702582.64 TRUE 8713194.637 8988393.401 TRUE 0.002376981 11434756.2511611734.79 TROE 0.005576016 3036112.571 8677538.764 TRUE 8605487.74 9032070 083 TRUE 0.002880634 3852170.0474039049.786 TRUE 0.003113193 19925233,06 15609083.82 TRUE 0.001061686 9286977.495 9984501:33 TRUE 13428398.23 13413470.66 FALSE 0.004970377 10243093.9 9999070.026 FALSE 0.001110761 18836222.93 19135011.76 TRUE 0 12096861 11840838.32 FALSE O 19602165.22 20654011.29 TRUE 0 11814388.51 12246920.02 FALSE 0.001787994 16616433.29 17314130.32 TRUE 0 11666725.17 11002655.49 FALSE 0.003419947 12486026.48 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BeD1 city centre_convenience MOD city_centre_convenience K097 city centre_convenience Avgo city centre convenience dps city centre convenience hSGO city_centre convenience 1ES city centre_convenience POMN city centre_convenience Yimu city centre convenience fipb city centre convenience Wald city centre convenience Nani city centre convenience ZRIK PALE 0.02 e convenience 26 TRUE 3306 FALSE 0.0011502 1.095 TRUE 39439402.17 TRUE 25135235312 FALSE 0.00121782 1903 08723 627 PALSE 0.003388701 0 189902733.452 FALSE 661901.6136842164 FALSE 0.00163199 098 822 0819952.653 TRUE 0.003112102 6071% 1182180.593 TRUE $77686231609183029 TRUE 1003928136540552.520 FALSE 0.002271633 23488240722177472 284 TRUE 0 4629580.70 4211140.784 TRUE 4383560.3224020694.437 TRUE 600697 206 6194115.881 FALSE 0.001895636 1302575.251 3284628.486 PALSE 7633215.641 7205919.974 FALSE 110176.746 4130049.586 FALSE 0.001394632 8423322.62 8573917.657 FALSE 4087699.8714005623.925 TRUE 0.001027614 8256910.21 7829571.31 FALSE 0 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catre coin elence SEX centre convenience centre convenience Scoote convenience sity. 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