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You want to see if the median Household Income is different among the likely voters of the top three candidates in the Jefferson State Senate

You want to see if the median Household Income is different among the likely voters of the top three candidates in the Jefferson State Senate Primary Geoff Picton, Arnold Pereira, & Megan Harrison.You randomly select 8 voters for each candidate.

At the 0.05 significance level, is there a difference median household income?

Median Household Income (Picton) Median Household Income (Pereira) Median Household Income (Harrison)
39842 38230 59384
30113 34621 59389
66301 48113 87273
95443 88225 42433
37814 34526 58475
49020 44537 80084
45332 40338 112938
30211 34219 59383

STEP A:Calculate,c, the number of groups.

STEP B:Calculate,, the number of observations for each group, j.

STEP C:Calculate the mean value for each group,.

STEP D:Calculate the grand mean,.

STEP E:Calculate the degrees of freedom for:

  • SST: Total Sum of Squares
  • SSA: Among Group Variation
  • SSW: Within Group Variation

STEP F:Calculate:

  • SST: Total Sum of Squares
  • SSA: Among Group Variation
  • SSW: Within Group Variation

STEP G:Calculate:

  • MSA: Mean Square Among
  • MSW: Mean Square Within

STEP H:What is the Significance of the F-Stat? How do you interpret the F-Stat?

STEP I:Complete a One-Way ANOVA Table

NOVA
d.f. SS MS F p-value
Among
Groups
Within
Groups
Total

STEP J: Calculate the Tukey-Kramer Critical Range?

Total

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