26. It can be difficult to determine the age of snakes. The head keeper of the reptile collection in a major zoo wants to develop a way to age snakes that come to them from other zoos and collectors who did not keep birth date records. The keeper has 20 boa constrictors in her collection for which she also has definite birth dates and ages. She wants to determine if there is a sufficiently strong relationship between age and size (length) to use length measurements to estimate age. The age and length data she obtains are summarized in the graphs and statistics below. 20 200 - 16 15 150 12 10 100 5 50 - B 40 80 120 160 Age (yr> Length(om> Length Variable Count Mean Median StdDev Min bad Max Age(yr) 20 9.75 9.5 3.93 1 17 Length(cm) 20 a now 99.57 93.28 47.29 15.2 180.363 a. Based on the information presented above, do these data meet the assumptions for performing Pearson=s correlation analysis? Your answer should list each assumption and explicitly describe your rationale for deciding whether or not the data meet the assumptions. b . The correlation between body length and age is r = +0.71. Perform a test of significance for this correlation by implementing the following steps: moleq of bel insw boy seoqque 1. State the Null and Alternative hypotheses I ert nil amoold eagle eauso Jripim resilihist E quorg ni nogoilin bbe a of afew oral eau UoY anwel gnibnuonlua S quo15 ni resilihel on boss boy astulluo | quote al .esTullyo 2. Compute the standard error of r smold esple nard reissig al Tesilthat nwal to inenogwing V , ohsnose ybule all ni niwomp ennis estslumile issilihel nwal terll ebutanoo Jaum Jeet Isoilallsla alonggigge 3. Compute the t-test statistic and determine the p-value. work edhoeed . efen tons ealw i'll to ixatnoo arlf ni viggs elan tone 4. Interpret the meaning of the p-value in the context of this study, using terms that would be understandable to the general public. 5 . State your conclusion with regard to the original scientific question, in a format suitable for a scientific journal. Be specific with regard to the nature of the association