Question: A researcher wants to compare the micronutrient content in school lunches served at disadvantaged and advantaged schools. To do this she randomly selected 74 schools of three different types: (1) those in which 40% of the enrolled students qualify for free/reduced lunches, (2) those in which 0-10% of the student body qualifies from free/reduced lunches, and (3) private schools or public schools in which none of the students qualify for subsidized lunches. She then samples the lunches at each of these schools and measures the calcium content of each (measured in mg). She obtains the following results:

Most Disadvantaged Average Disadvantaged Least Disadvantaged

a) What assumptions must you make about the data and the sample for an analysis of variance?

b) Identify the explanatory and response variables of this analysis.

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

d) Complete the ANOVA table for this analysis. (Use the back of this page for your calculations.)

e) Based on your results what do you conclude about the association between the calcium content of school lunches and type of school?