A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random sample of n = 5 students from each grade and compared absences among the four grades using ANOVA. The data are below: 9th grade 10th grade 11th grade 12th grade 6 9 6 7 7 10 12 11 11 14 17 8 11 14 15 15 16 12 12 12 2. Calculate the degrees of freedom Between Groups (dfBG) 3. Calculate the degrees of freedom Within Group (dfwG) 4. Calculate the Sum of Squares total (SStot) As 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A high school principal wanted to know if there was a difference in absences for 9th grade, 10th
grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random
sample of n = 5 students from each grade and compared absences among the four grades using
ANOVA. The data are below:
9th grade 10th grade 11th grade
6
f5
9
%
6
7
台南。
7
5
10
f6
12
11
14
443
6
10
f7
17
2. Calculate the degrees of freedom Between Groups (dfBG)
3. Calculate the degrees of freedom Within Group (dfwg)
4. Calculate the Sum of Squares total (SStot)
5. Calculate the Sum of Squares Between Groups (SSBG)
6. Calculate Sum of Squares Within Groups (SSWG)
7. Calculate Mean Square Between Group (MSBG)
8. Calculate Mean Square Within Group (MSwG)
9. Calculate the F statistic
10. Using the table in the back of the book, find the critical value for F (Ferit) with a = .05
11. Calculate the Tukey HSD (using a = .05)
12. Which of the following is the appropriate statistical conclusion?
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14
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AVG
630
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Transcribed Image Text:earch $ f4 S A 101 A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random sample of n = 5 students from each grade and compared absences among the four grades using ANOVA. The data are below: 9th grade 10th grade 11th grade 6 f5 9 % 6 7 台南。 7 5 10 f6 12 11 14 443 6 10 f7 17 2. Calculate the degrees of freedom Between Groups (dfBG) 3. Calculate the degrees of freedom Within Group (dfwg) 4. Calculate the Sum of Squares total (SStot) 5. Calculate the Sum of Squares Between Groups (SSBG) 6. Calculate Sum of Squares Within Groups (SSWG) 7. Calculate Mean Square Between Group (MSBG) 8. Calculate Mean Square Within Group (MSwG) 9. Calculate the F statistic 10. Using the table in the back of the book, find the critical value for F (Ferit) with a = .05 11. Calculate the Tukey HSD (using a = .05) 12. Which of the following is the appropriate statistical conclusion? & 59 8 11 14 7 # AVG 630 B 12th grade fg * M W 15 9 16 12 12 12 8 CRO hp fg KA ( 9 f10 ► 11 O W f11 DA ▷ s f12 + 11 ins E prt sc
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A high school principal wanted to know if there was a difference in absences for 9th grade, 10th
grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random
sample of n = 5 students from each grade and compared absences among the four grades using
ANOVA. The data are below:
9th grade 10th grade 11th grade 12th grade
6
9
6
HIE'S
7
7
10
12
11
O
11
14
17
8
11
14
15
100
15
16
12
2. Calculate the degrees of freedom Between Groups (dfBG)
3. Calculate the degrees of freedom Within Group (dfwG)
4. Calculate the Sum of Squares total (SStot)
5. Calculate the Sum of Squares Between Groups (SSBG)
12
6. Calculate Sum of Squares Within Groups (SSwG)
7. Calculate Mean Square Between Group (MSBG)
8. Calculate Mean Square Within Group (MSwG)
9. Calculate the F statistic
12
10. Using the table in the back of the book, find the critical value for F (Ferit) with a = .05
11. Calculate the Tukey HSD (using a = .05)
12. Which of the following is the appropriate statistical conclusion?
a
W
P
Transcribed Image Text:earch A high school principal wanted to know if there was a difference in absences for 9th grade, 10th grade, 11th grade, or 12th grade among students with less than a 2.0 GPA. She took a random sample of n = 5 students from each grade and compared absences among the four grades using ANOVA. The data are below: 9th grade 10th grade 11th grade 12th grade 6 9 6 HIE'S 7 7 10 12 11 O 11 14 17 8 11 14 15 100 15 16 12 2. Calculate the degrees of freedom Between Groups (dfBG) 3. Calculate the degrees of freedom Within Group (dfwG) 4. Calculate the Sum of Squares total (SStot) 5. Calculate the Sum of Squares Between Groups (SSBG) 12 6. Calculate Sum of Squares Within Groups (SSwG) 7. Calculate Mean Square Between Group (MSBG) 8. Calculate Mean Square Within Group (MSwG) 9. Calculate the F statistic 12 10. Using the table in the back of the book, find the critical value for F (Ferit) with a = .05 11. Calculate the Tukey HSD (using a = .05) 12. Which of the following is the appropriate statistical conclusion? a W P
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