A doctor wanted to study the effect of four different treatments on mental health. A group of 100 adults experiencing depression volunteered for the study. The doctor randomly assigned one-fourth of them to each of four groups. Group 1 followed a specific exercise plan, group 2 followed a specific diet plan, group 3 followed an exercise and diet plan, and group 4 did not follow any plan. After 4 weeks, the doctor contacted each participant and asked them if they felt any better. The results are displayed in the table. Treatment Exercise Only Diet Only Both Neither Yes 19 15 21 Feel Better? No 10 4 20 The doctor would like to know if these data provide convincing evidence that the distribution of responses differs across the treatment groups in the population of all patients like these. What is the appropriate inference procedure? O chi-square test for goodness of fit because the data come from one random sample O chi-square test for homogeneity because the data come from independent treatment groups O chi-square test for association/independence because the data come from one random sample O chi-square test for association/independence because the data come from independent treatment groups

Diagonalize the matrices in Exercises 7-20, if possible. The roul eigenvalues for Exercises 11-16 and 18 are included below the matrix.

2.1 quest 2