A botanist wants to know if the average stem length of daffodils differs based on which side of a building they grow on. So she collected 15 daffodils from each side (north, east, south, west) of the building and measured their stem length (in cm). Below is a partial ANOVA table of the results. a. Write the null and alternative hypotheses for this analysis. Then fill in the above table and write the

E Fa22- ELEMENTS 0F STATIS' X ' II\" 803 320E Dashboarlerade X m Homework7 X n Dashboard X l + V 6 C' i utexas.instructure.com/courses/1343484/assignmems/6000164 s m xi} @113 1 [I e- SD5320E_HW7.pdf 1. A botanist wants to know if the average stem length of daffodils differs based on which side of a building they grow on. So she collected 15 daffodils from each side (north, east, south, west) of the building and measured their stem length (in cm). Below is a partial AN OVA table of the results. SS df MS F Building Side 639.0 Error Total 2101.6 a. Write the null and alternative hypotheses for this analysis. Then fill in the above table and write a full conclusion, in context and citing the appropriate statistics. Given: critical value = 2.79 (5pt) b. Calculate the appropriate measure of effect size and interpret it in context. (2pt) c. Below is a grouped boxplot of the stem lengths across all four building sides. Which assumption is violated? Which assumption passes? (2pt) Distributions of Daffodil Stem Lengths Stem Length (cm) _[ \" ? North East South West