Use the following scenario and data to answer the questions in this assignment. These questions walk through the steps for computing the F-ratio for a repeated-measures ANOVAIn one study, participants view three photos of job applicants. The applicants could have a scar, birthmark, or no blemish on their face. The researchers want to know if having some sort of facial mark influences participants' likelihood of selecting an applicant to hire. The participants rate their likelihood of hiring the applicant on a scale of 0 (definitely would not hire) to 10 (definitely would hire). Those data appear in the table below along with some "summary" data.

Participant	Scar	Birthmark	Neither	Person Total
A	1	1	4	P = 6
B	3	4	8	P = 15
C	0	2	7	P = 9
D	0	0	6	P = 6
E	1	3	5	P = 9

N = 15 T_S = 5 T_B = 10 T_N = 30G = 45 M_S = 1 M_B = 2 M_N = 6X² = 231 SS_S = 6 SS_B = 10 SS_N = 10Stage 1 - calculate the variance between treatments - MS_{between treatments}Recall that MS_{between treatments}is the value that will be in the numerator for your F-ratio1. Calculate SS for the total, within treatments, and between treatments. (1 point, show work to earn full credit) SS_total = SS_{within treatments} = SS_{between treatments} = 2. Find df for the total, within treatments, and between treatments. (0.5 point) df_total = df_{within treatments} = df_{between treatments} = 3. Given your answers in questions 1 and 2, calculate the MS_{between treatments} (0.5 point)Stage 2 - remove individual variance - MS_errorRecall that MS_erroris the value that will be in the denominator for repeated-measures F-ratio4. Calculate SS for between subjects and error. Pay special attention during these calculations; make sure you use the formulas correctly! (1 point, show work to earn full credit) SS_{between subjects} = SS_{between error} = *Note that the between subjects data represent the variability that is attributed to individual differences. When we subtract it out, we are statistically removing (most) of the individual differences from the analysis.5. Find df for between subjects and error. (0.5 point) df_{between subjects} = df_error = 6. Given your answers in questions 4 and 5, calculate the MS_error (0.5 point)7. What is the F-ratio you obtain for these data? (1 point)