i) Calculate the means and standard deviations for Quarterbacks (QB), Running Backs (RB), Wide Receivers (WR) and Tight Ends (TE). (Hint: Make your life easier by highlighting the entire data area and then sort it by Position) (ii) Which position is most likely to run the 40 yard dash faster than 4.40? Use your results from part (i) to calculate the corresponding Z-scores and provide the probability for each position. (iii) Which position is least likely to jump a vertical (Vert Leap) above 33 (inches)? (iv) Which position is most likely to do more than 20 Bench presses (QBs excluded)? (v) Now also calculate the mean and standard deviation for Cornerbacks (CB). Test the hypothesis at 90% significance level that wide receivers are on average faster than Cornerbacks. (vi) Lastly, calculate the mean and standard deviation among defenders, specifically Safeties (S), Linebackers (LB), Edge Rushers (EDGE), Defensive Ends (DE), and Defensive Tackles (DT). Con- sider 25 bunch presses "elite" and calculate the probability for each defensive position of having "elite strength". Which position has the most "elite strength"? Norme College POSMION Height Weight Yard hech Pro Broad Vert Lene Jump Shuttle Cone 1 40 77 40 12 12 140 32117 36 115 122 11 18 11 SE 403 40 us 45 20 12 700 42 40 441 9 3 120 472 OK SS 315 SOITTEET 27 37 120 725 490 15 365 455 430 05 139237 385 4.53 77385 117 140 118 117 7.15 122 11878909 TO 431 5385121 595415 2019 L. Santoro WR 74 22 2010 Notre Dand WA 220 2010 MW WR 2019 DARMO WHIR 2016 WA 09111166 2012 GR Nortem Arion WR 12:17 2019 S WR 2019 Chie W122 205 2019 ODWR16234 11 2010 ian SWERS 211 12 2010 Abu WR 129 13 2015R OTWR70 201 14 2019 Rere We Forest WA 67 170 2019C- DWR74 211 2019 Morelo WA 2013 Bilarida WR 71 2019 Northern WR TT LA 19 2019 Dominion (VAWR 74 2019 Berg WR 71 184 21 2018 WR 74 208 2010 WR22 17 2019 Nom Cardinale WR 74 1221 2019 7 229 TWA 20 2010 Beyor WR 77 223 7 2010 1 GALLWR 2010 WWWR 714 2010 OIL B WR 74 200 Toledo 163 2019 ARTIFICA WR 73 201 M TE 20 200 2019 STE 14 H 2010 TE 75 2015 TE 78 2019 TE 00 2019 TE 70 30 TE TE 70 254 40 2010 TE 78 20 2010 Liana STE 75 2019 George TE73 24 2019 San Jose Bude TE 2010 US TE 22 26 1 2010 D When TE 265 2009 Adema TE 74 20 7 2010 TE 2010 TE 73 Bon Coileg TE 70 2012 San Diego TE 252 SO 2012 Woof Virginia TE 2010 UCLA TE 240 2013 Missis. Se S 34 2010 Nadal Dolore 72 2019 Dream 5 56 Line 5 72 201 12 Mare Frense CA S 210 2019 Un 5 13 13 S 73 205 15 15 14 DS 25 WA 200445 45 33 10 10 107 40 TE 20 395 422 45 49 42 IE 50 700 2015 545 10 41 421 4:34 120 47 466 49 205 411 72 7.16 745 721 TO 34 467 EY 473 15 HT 7.15 151 483 TD 25 115 110 100 TO 447 431 w Or 17 17 19 24 X 21 T18 31 10 2 456 44 151 LET 45 121 700 430 115 10 110 135 115 15 715 65 A C D E 1 G H 1 Yes Name College POSITION Height & Weight PARA O Bench Pre Broad Ver Lamp Shuttle one 2010 . 5 6 M 20 115 16 315 335 335 4.64 481 6. 73 7190 70208 70206 72 19 5 8 S S 119 403 17 SL5 154 745 11 210 4.48 17 36 117 703 14 4.48 441 16 D 25 22 33 412 41 ANGE 4 4.60 477 14 18 12 17 4. 200 36 35 444 43 414 16 11 SO , 130 121 700 0.00 S S 3 401 4 46 Indiana 2019 Boston College 2019 Wisconsin 2019 Mis Kentucky 2019 MORE Marshall (W 2010 D G Florida 14 2010 She Flug 16 2015 Benken Cara 67 2010 Amber 2010 M 2019 Mississip 30 2019 Wigan 11 2019 Mi ma 2019 DAS Meryd 73 2019 Sofern California 2018 75 2019 26 2019 DW Kary 77 2009 70 TAM 2019 Wyoming 2019 Miss 01 2019 Linh Colorado 2019 2019 Teme 54 2015 Kan Slate 2010 Lausanne 2010 M Washion 32 2019 DO Alba 2019 Months 2010 Mic 2018 Ouma George 07 2019 Man ( 2010 A M 2019 Sford 2010 Alcedo Don State 2010 lowasu 141 21 19 22 452 205 345 36 18 er MEDIDO s 206 S 2017 $ 71 210 70 191 s 73 212 s T2 208 186 71 74 190 5 195 S 72 205 5 71 5 71 213 S 72 130 S 2010 S 71 205 5 74 212 22 220 RA 71 72 220 B 71 29 RB 205 RB 70 210 AB 200 FB RA 150 RE 20 217 RO 70 201 FB20220 RB 60 71 456 425 403 0 10 17 315 33.5 705 7 702 415 437 TROL 114 4.45 150 QUE 989 OU 38.5 IT 34 15 24 1 11 T 21 21 749 4S 257 437 37 335 30 440 CE 06 OK 44 21 21 25 17 10 118 IT 285 431 TOUT Te 29 SC 72 15 2019 La MICE Apachante (NC) RB 212 73 458 2019 2009 114 7.50 431 13 2211 20 211 200 Pemale Florida 71 8. 419 40 Mind peace LE Berita 116 120 100 2012 101 2010 103 2010 109 2010 300 2010 2012 10.2010 30 21 20 15 LEE LV RB AB HB RA RO RA RA RD 200 44 117 110 15 Mid Wales 70 70 71 335 2012 Frida Mental Kort Ohio Sale Notre Dame Windon TEALM Wh Non Card co 457 4 11 7 701 SET RE 10 100 2019 1002013 110 2010 11 2010 451 474 80 24 130 118 121 112 11e 115 112 211 213 7.19 4.44 OB 09 ZY 05 205 eo 74 K 700 461 5.04 450 14 111 ONE We Cho Bus DO M Politie 20 345 2010 2010 00 OE OR 00 7.00 7 7.00 78 2 21 412 Bro Dud 4 M Yew Name College POSITION Height Weight 40 Yard ch Press Brad Vert La Lumps Shuttle Cone 200 LY 115 4.12 SA 457 305 7.14 I 2012 11 2019 11 2010 120 2019 2019 122 200 uz 2010 die M elit NES Porn State Washington Dulle Olahoma Boise Vanderbit North Date Auburn 09 OD 09 09 ca OB OB za 70 74 78 20 210 220 18 491 UR 295 335 31 118 71 108 751 118 88 110 7.25 29 4 405 433 74 218 Les PETED OB 477 275 109 705 4.36 BO 200 P P OT 472 473 P OT 74 T4 7 Missi Northwestern Stord Ricet Uh M Uw Pern West Virginia South Carolina Washington Southern Cali Wiscon South Caroline TIT 11 117 1037 100 785 25 25 27 27 27 200 317 310 306 312 317 315 518 500 OT OT OT OT OT OT OT OL 466 450 75 77 77 77 525 458 2 795 74 118 14 5.19 73 308 06 769 477 35 23 7 32 K OLE 70 2019 124 Barnes 125 2010 Clayton 125 2019 171 2010 Lad for 126 2010 129 2019 102019 Ladi. Bu 131 2010 Pune 132 2010 You 133 2009 Dale 134 2010 Ailand as 2019 1:36 2015 2019 Zad 11 2010 2010 Lista 3402019 159 2019 1402019 143 2010 14 2019 1552019 Share 2019 10 12000 14 2012 cha 14 2014 ASO 2010 551 2010 150 2010 2019 154 0010 Band ISE 2019 157 2010 77 BOC 113 497 OL OL OL OL OG OG OG 5.00 GE Mississies Floride Porn Sie Weber Notre Dame Wiscons Miss Norwa Charlo Wisconsin A War 7.86 2.08 312 78 300 330 5.5 5.07 25 SO 746 316 794 480 00 OG OG 77 300 5.25 05 106 751 450 DO 2 52 24 05 815 50 Flores Boston Cole Osoma 315 300 OG OG OG OG OG LS 491 305 2 201 234 5 10 5 Indone Florida TU ALM 456 16 SE us 477 SZ 35 11 40 South Carolina LB 3 236 4 14 Free SICA Utah 12 VE SHE 464 LA LB oc 4 403 714 2 TI 2 20 200 89 SOS 35 46 45 423 21 18 152 2015 BA 1002015 LELA 16 2019 162 2010 2010 2019 2010 Danse 2010 2019 Dude 2010 1.70 2012 TI 2018 172 2010 2049 SH Nora Dan Wiscons Auburn UB LE UB LA 73 14 71 19 VIT 5 31 2.00 111 40 Wiscon In PL 1TB 7 76 71 I 1616 De Ark Notwear 11 N 7 College POSMON Height Weight PRO Bench Press Broad Vert Lepump, Shuttle Cone LB LE EL TE SE 230 M 30 21 555 in 443 16 2 097 235 305 715 254 233 220 LB LE LB LB LB LB UB US K K 70 72 73 75 71 73 74 74 15 5 2015 230 240 4.45 458 4.57 4.00 120 122 116 7 2 15 20 Misor New Mexico Stato Uhah Tee Kartucky Clemson Florida Clemson West Virginia Starford Norn Carolina Southern California Utah Oklahoma Louisiana State Wisconsin Kartucky To Christian Oklahoma State Florida North Carolina Es Michigan Akron Wyoming Mississipato Southern Oregon VC 16 29 4 42 OR 4.62 4.65 453 22 375 70 184 20 202 75 262 200 74 231 77 256 75 23 777 75 252 25 795 1715 134 126 129 7.01 113 122 2 599 744 30 FB EDG EDG EDG EDO EDG EDG EDG EDG EDG EDG EDG EDG EDG EDG EDO 4.66 46 4.79 19 Year Name 1 174 2019 TE 2019 This 178 2019 177 3010 Gachong 10 2010 fants 179 2010 Kandallah 1102019 181 2019 12 2019 De 2019 18 2019 las 2019 Gran 1852019 18 2019 Alatinas 18 2019 IR 2019 Alcingold 190 2019 19 2019 Ben 19 2019 dan 193 2019 1942019 105 2010 392019 2010 Garden 198 2010 1 2010 200) 2019 201 2019 202 2010 Dan 2018 2019 204 2010 Sheed Mille 2051 2010 206 2010 201 2010 Sunith 200 2010 More 200 2010 PAW 210.2010 Chase 21 2019 Chanti 2121 2019 TELE 21 2019 14 2019 . ) 2152019 16 2019 21 2019 XEM 2 2010 Total 219 2019 Alle ting 120 2019 DM 221 2010 222 2019 Budents 22 2010 234 2019 Palesant 26 2018 Slede 222 2018 2019 4. 35 25 110 4.00 45 490 2 31 25 19 20 700 YS 225 44 77 113 051 11 75 207 76 284 7328 16 295 EDO 4.10 434 O 118 734 6.75 72230 78280 74 489 4.41 432 S6 315 36 > 21 05 118 115 411 US North Carolina AST Alabarna Pern Sale Florida Boston College Northern India Mississcode Georg Michigan Old Dominion (VA Missouri Alabama Florida State Meland Washington Porn State Cart Florida Cloon ONS Clemson Team ALM IC SNE 70 EDG EDG EDO EDG FOG EDG DT DT DT DT DT OT DT DT 75 26 296 7506 470 5.19 515 500 5.10 25 25 75 294 483 S.CO 24 20 20 12 25 30 2 20 101 312 31 LE IC 5.08 5.04 512 100 115 115 101 110 7e 72 27.04 28 75 306 15 255 31.5 * 5.05 51 100 435 27 36 30 90 24 DT OT OT DT DT DU OT 7042 7336 74 313 394 307 761 4 TT 27 305 W 5.15 5:01 5.13 430 523 101 101 135 70 23 7.45 Pachen Westorings Brous Notre Dame A Boston Cola Orio Carson Texas Christian Cher 70 S 734 4.36 41 SE 47 335 BIDE GOEIE 200 231 200 271 20 W DE DE DE DE NE 491 25 158 74 TY 7.71 Tm Year Name College POSITION Height Weight be 40 Yard Bench Press Broad Vert Lamp Jump Shuttle Cone Illex 23 32 115 745 433 Alle 2 29 112 325 115 7.1 4.14 Motive TOT 478 30 33.5 118 116 Notre Dame Arka Boston College Ohio S Clemson Toms Christian Charleston ( WY Clason Michigan Mamu Florida Tech ALM Georgia lows Tech Clella abana 25 22 25 20 22 721 7.03 7.26 7.25 438 44 SEE 120 100 100 Coches 17 38 27 305 315 265 355 385 75 43 7.55 4.45 100 Author 18 6.95 IN 423 436 115 Kentucky 355 208 15 10 14 431 122019 228 2019 229 2010 200 2010 2019 22 2010 200 2010 2:14 2010 2019 206 2010 22 2010 2 2011 3 2013 NO 2010 2010 2492019 3402010 244 2019 262019 246 2019 20 2010 2010 2492019 250 2019 251 2019 23 2010 2532019 254 2010 25 2010 2552019 2523010 20 2019 2019 2002019 261 010 2622019 23 2010 2010 2010 dar Box 15 19 414 400 Sant 42 DT 483 DT 77.300 523 DE 78201 5 DE 75206 479 DE70 271 DE 491 DE 77 200 4.00 DE 7824 DE 70 277 DE 78 275 DE 73 206 DE 75 29 495 DE 70 280 5.14 DE 271 49 DE 77 280 73 74 ca 71 190 71 196 447 CD 4.45 72194 4.75 CB 72 201 4151 CA 80100 71 1844 CB 74 2012 4.57 73206 ce 71 100 452 70 4:37 71 190 408 CO 73 46 CB 210 4.65 CB 74 20844 CB 74 2134 CB za 207453 CB 71 196445 CB 71 186454 73 186 C CB 1904 190 45 ca 74 205 40 co 20218 403 ca 71 200 461 71. SG 75 40 15 78 75 513 Washburn (KS Texas TOTAL South Dakota Sute Corts Michigan Bon College Centre Michigan Texas Auburn South Caroline Closion Norte Stanford Miami (FLL Houston 185 7.08 118 38.5 5 6. 365 127 694 126 730 395 120 41.5 6:36 375 37 6.78 41 130 117 14 13 14 8 11 14 16 25 709 4.15 419 CAPES 12 19 SRC 9 9 13 36 SOP S* 121 6:2 415 100712 4.12 133 5.81 408 12970141 134 09 400 L. 15 30 375 95 397 14 COM 200 2010 Miche Southern California Micho Notre Dame Wayan Clemson We Penn State Miste A Ohio North Cwnse 5 120 36 0.72 135 MS 123 30520 365 en MB A 14 12 416 202010 se 2019 212019 202019 272019 2019 2732019 2742012 11 31 3 21 108 741 4.53 LETO O Texas AM BOX SOC DC LDE 31 102 29 27 SEB 478 26 T1 HE 279 200 ET WE SH TE