In: Statistics and Probability
1. Presume that the following data were collected from respondents to a poll asking for their rating of the current state of the economy, ranging from 1 to 100 (1= worst, 100 = best).
Party affiliation |
|||
Republican |
Independent |
Democrat |
|
M |
45 |
41 |
31 |
s |
9.1 |
8.7 |
10.3 |
n |
15 |
13 |
19 |
1). State your hypotheses for the effect of party affiliation:
H0:
H1:
2). Test your hypothesis using a one-way ANOVA. Show all your work andenter your information in the appropriate boxes:
MSB:
MSW:
F:
df: ,
Fcrit:
3). What is your conclusion regarding H0? (Circle one): RETAIN REJECT
4). What is your conclusion regarding the research hypothesis?
2. In an ANOVA, what do “within-groups variability” and “between-groups variability” mean?
3. Describe how the F-distribution is different than the t-distribution. There is at least one feature that they share in common, however (and the z-distribution does not have this feature). What is it?