Information Use the following to answer questions 8 through 11. Canadian Educati
ID: 3061781 • Letter: I
Question
Information
Use the following to answer questions 8 through 11. Canadian Education Research Council (CERC) was interested in assessing whether the mathematical ability of college students was different across the Canadian provinces and across the chosen major of study. CERC considered five provinces: Saskatchewan, British Columbia, Alberta, Ontario, and Manitoba. The majors chosen were: business, engineering, medicine, and humanities. For each combination of province and major, 10 students were chosen at random and their score on a standardized test that measured mathematical ability was recorded. You have partial access to CERC's ANOVA table and have been asked to answer the questions below (use = .05). SS(province) = 2.26 SS (major) = 26.31 SS error = 4.11 SS total = 36.02
Question 8 (1 point)
What are the degrees of freedom for the error term?
199
12
3
19
180
Question 9 (1 point)
What is the F calculated for the province factor?
24.74
381.13
0.02
0.565
12.09
Question 10 (1 point)
What is the Fcalc for the interaction term?
7.68
12.20
24.56
34.56
3.02
Question 11 (1 point)
What is the F critcal for the major factor?
2.68
1.83
381.3
2.45
6.27
Explanation / Answer
8) The degrees of freedom for the error term is 80
9) F calculated for the province factor = 24.74453 Option (a) 24.74
10) The Fcalc for the interaction term Option (x) 12.1898
11) The F critcal for the major factor is Option (A) 2.68
ANOVA Table Source df Sum of square mean Square F-ratio F-critical P-value Povinces 4 2.26 0.565 24.74453 2.421843 2.45934E-16 Major 3 26.31 40.277 1763.956 2.654792 3.6856E-133 Provices and Majar 12 3.34 0.278333333 12.18978 1.806288 6.3471E-18 Error 180 4.11 0.022833333 Total 199 36.02