Although the Social Climate Surrounding Sexual Identity Is Slowly Changing

Although the social climate surrounding sexual identity is slowly changing toward more tolerance, individuals who are female or transsexual still experience stigma regarding their sexual identity. Assume you have a master list of students enrolled in a large public high school in Portland (OR) and the list also includes their sexual identity. You randomly select 10 students who self-identify as female, 10 who self-identify as male, and 10 who self-identify as transgender. You want to know how accepted they feel by their teachers (with 1 indicating feeling marginalized and 10 indicating a feeling of being 100% accepted). You select an alpha level of 0.05. The results are presented in the table below.
$$\begin{array}{l}\begin{array} { c c c } \text { Male}&\text { Female}&\text { Transgender }\\8 & 9 & 5 \\7 & 8 & 3 \\5 & 10 & 6 \\9 & 5 & 2 \\10 & 10 & 7 \\6 & 8 & 4 \\2 & 7 & 7 \\4 & 4 & 5 \\7 & 10 & 3 \\3 & 5 & 8\end{array}\end{array}$$
a. What is the IV and what is the DV? Also indicate the level of measurement for each variable.
b. State your null and alternative hypotheses.
c. Compute:
i. The group mean.
ii. Grand mean.
iii. Standard deviation for each group.
iv. Sum of squares.
v. The degrees of freedom (within and between).
vi. F.
d. State the decision rule.
e. Make a decision and interpret your findings.
f. Use the Scheffé test to determine which means (if any) significantly differ from each other.