Use the F distribution table to find the critical value F0=

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Use the F distribution table to find the critical value F0=

Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance
level of 0.01
Ho: All population means are equal
Ha: At least one population mean is different from the others (claim)
Round all values to 2 decimal places
SS
df
MS
Between
28.44
4
7.11
1.96
Within
54.33
15
3.62
TOTAL
82.77
19
One Way Analysis of Variance (ANOVA)
ANOVA Table
Sum of Squares SS
Degrees of
Mean of
F-Test
Freedom df
Squares MS
Statistic
MSB
MSw
SS
df = dfy
=k – 1
Between
SS =
MS
dfe
(Numerator)
d fw = dfp
-N-k
SSw
d fw
Within
S.
(x – x. )
MSw
(Denominator)
df
= dfs + dfw
Total
SS = SS, + SS
Definitions
SS
df
Mean of each group
Sum of Squares between groups
Degrees of Freedom between groups
Grand Mean: Mean of all data points
SS
Sum of Squares within each group
Degrees of Freedom within each group
Transcribed Image Text:Complete the following ANOVA summary table. There are 5 groups with 4 samples each. Use a signifcance level of 0.01 Ho: All population means are equal Ha: At least one population mean is different from the others (claim) Round all values to 2 decimal places SS df MS Between 28.44 4 7.11 1.96 Within 54.33 15 3.62 TOTAL 82.77 19 One Way Analysis of Variance (ANOVA) ANOVA Table Sum of Squares SS Degrees of Mean of F-Test Freedom df Squares MS Statistic MSB MSw SS df = dfy =k – 1 Between SS = MS dfe (Numerator) d fw = dfp -N-k SSw d fw Within S. (x – x. ) MSw (Denominator) df = dfs + dfw Total SS = SS, + SS Definitions SS df Mean of each group Sum of Squares between groups Degrees of Freedom between groups Grand Mean: Mean of all data points SS Sum of Squares within each group Degrees of Freedom within each group
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