Question: To study the degree to which teacher satisfaction is associated with school type, you randomly sample 6 teachers from each of three types of schools: a public school, a privatized (charter) school and a private school. You then interview each teacher and attain their self-reported satisfaction rating measured on a 0-10 scale where higher numbers indicate greater levels of satisfaction. The following data result:

Public Privatized/Charter Private

x₁= 3.5 x₂ =7.6667 x₃ =7.1667

s1=1.8708 s₂ =1.7512 s₃ =2.3166

a) In symbols and words state the null and alternative hypotheses of this analysis.

b) Calculate the BSS, WSS, TSS, and their associated degrees of freedom (do not use the computational formulas).

c) Complete the ANOVA table for this analysis.

d) Based on your results what do you conclude about the association between school type and teacher satisfaction?