Question

A sample of number of NFL injuries including Concussion, ACL tears, MCL tears and PCL tears from 1999 to 2019 are as follows: 1- Develop one hypothesis test on means (Two examples could be: (1) Compare mean of ACL and PCL from 1999 to 2019, or (2) you can compare the concussion injuries from 1999 to 2008 with concussion injuries from 2009 to 2019). You may compare other two means. (alpha=5%) 2- Develop one hypothesis test on variances (As an example: compare variance of Concussion and MCL from 1999 to 2019). You may compare other two variances. (alpha=5%) 3- Test to check whether the concussion injuries in 2007 are greater than 40% of the total injuries in 2007 or not? (alpha=1%) 4- Conduct an Analysis of Variance for the four groups concussion, ACL, MCL and PCL. (alpha=1%) Bonus point: If you develop any other type of hypothesis tests ( could be a test on means, variances, one mean or proportion, you can earn 10% of extra credit for the term project). NFL Injuries Year Concussion ACL PCL 1999 85 95 85 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 MCL 102 93 185 211 192 215 255 71 45 125 78 93 123 65 98 246 60 130 203 58 145 199 55 137 81 65 102 96 105 83 75 78 88 62 125 48 122 205 241 295 200 245 71 108 99 66 55 115 92 261 62 131 101 84 229 61 134 140 206 275 49 59 91 77 160 243 56 126 79 281 54 144 83 214 57 132 80 2018 2019 224 47 109 87

Please help with the Bonus portion. I already have 1 to 4 done (But your welcome on giving me input on those). Thank you

Answer 1

10 Bd 100- MT * 90 80- Data + 70 1 60 2. 3 50 4 5 40 ACL PCL Current Worksheet: Worksheet 1

MINIS Test for Equal Variances: Concussion, MCL MTB > let c6=205+62+125+83 MTB > let c7=205/c6 MTB > let kl=0.40 MTB > let cs=(0.43-0.40)/sqrt(c7* (1-c7)/21) MTB > let k2=sqrt(c7*(1-c7)/21) MTB > CDF 'test stat'; SUBC> Normal 0.0 1.0. Cumulative Distribution Function Normal with mean = 0 and standard deviation = 1 P ( x S x) 0.609327 0.277566 MTB > let c9=1-0.609327 Accept the null hypothesis i.e. population proportion is 0.40 MTB > TwoSample 'ACL' 'PCL'; SUBC) Confidence 95.0; SUBC> Test 0.0; SUBC> Alternative 0; SUBC> GBoxplot. Two-Sample T-Test and CI: ACL, PCL Current Worksheet: Worksheet 1