1. 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 olve a dificalt trssful the The data 10 17 15 9. 12 8. 16 11 11 12 7 11 14 12 7 14 15 12 A) Calculate the degrees of freedom Between Groups (dfBG) B) Calculate the degrees of freedom Within Group (dfwG) C) Calculate the Sum of Squares total (SStot) 6

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
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Problem 6E: List the sample space of each experiment. Tossing three coins
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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:
1. 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 11 th grade 12th grade
vee ditiont
ssfol the
The data
10
17
15
9.
12
8.
16
6.
11
11
12
7
11
14
12
7
14
15
12
A) Calculate the degrees of freedom Between Groups (dfBG)
B) Calculate the degrees of freedom Within Group (dfwG)
C) Calculate the Sum of Squares total (SStot)
D) Calculate the Sum of Squares Between Groups (SSBG)
E) Calculate Sum of Squares Within Groups (SSWG)
F) Calculate Mean Square Between Group (MSBG)
G) Calculate Mean Square Within Group (MSWG)
H) Calculate the F statistic
I) Using the table in the back of the book, find the critical value for F (Ferit) with a = .01
J) Calculate the Tukey HSD using a = .01. Which are the appropriate statistical
conclusions?
6
Transcribed Image Text:1. 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 11 th grade 12th grade vee ditiont ssfol the The data 10 17 15 9. 12 8. 16 6. 11 11 12 7 11 14 12 7 14 15 12 A) Calculate the degrees of freedom Between Groups (dfBG) B) Calculate the degrees of freedom Within Group (dfwG) C) Calculate the Sum of Squares total (SStot) D) Calculate the Sum of Squares Between Groups (SSBG) E) Calculate Sum of Squares Within Groups (SSWG) F) Calculate Mean Square Between Group (MSBG) G) Calculate Mean Square Within Group (MSWG) H) Calculate the F statistic I) Using the table in the back of the book, find the critical value for F (Ferit) with a = .01 J) Calculate the Tukey HSD using a = .01. Which are the appropriate statistical conclusions? 6
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