You are running an Analysis of Variance to test if there is a difference in hourly rates of three types of restaurant workers': Cashiers, Servers and Cooks. Ho:41 = 2 = 43: The average hourly rates are the same. %3D Ha: At least one average hourly rate is different from the others.(claim) a = 0.025 (Group 1) Cashiers (Group 2) Servers (Group 3) Cooks 10.75 11.75 13.5 11 10 13.75 13 11.25 17 8.75 12 14.75 14 14.75 16.75 Round all values including intermediate calculations to 2 decimal places Fill in the summary table for the means, grand mean and sum of squares Cashiers Servers Cooks Grand Mean I; S The Sum of Squares within each group SS, = (z- 2.) %3D One Way Analysis of Variance (ANOVA) ANOVA Table

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You are running an Analysis of Variance to test if there is a difference in hourly rates of three types of
restaurant workers': Cashiers, Servers and Cooks.
Ho:41 = 2 = µ3 : The average hourly rates are the same.
Ha: At least one average hourly rate is different from the others. (claim)
a = 0.025
(Group 1) Cashiers
(Group 2) Servers
(Group 3) Cooks
10.75
11.75
13.5
11
10
13.75
13
11.25
17
8.75
12
14.75
14
14.75
16.75
Round all values including intermediate calculations to 2 decimal places
Fill in the summary table for the means, grand mean and sum of squares
Cashiers
Servers
Cooks
Grand
Mean ;
The Sum of Squares within each group
SS =
One Way Analysis of Variance (ANOVA)
ANOVA Table
Transcribed Image Text:You are running an Analysis of Variance to test if there is a difference in hourly rates of three types of restaurant workers': Cashiers, Servers and Cooks. Ho:41 = 2 = µ3 : The average hourly rates are the same. Ha: At least one average hourly rate is different from the others. (claim) a = 0.025 (Group 1) Cashiers (Group 2) Servers (Group 3) Cooks 10.75 11.75 13.5 11 10 13.75 13 11.25 17 8.75 12 14.75 14 14.75 16.75 Round all values including intermediate calculations to 2 decimal places Fill in the summary table for the means, grand mean and sum of squares Cashiers Servers Cooks Grand Mean ; The Sum of Squares within each group SS = One Way Analysis of Variance (ANOVA) ANOVA Table
ANOVA Table
Sum of Squares SS
Degrees of
Freedom df
Mean of
F-Test
Squares MS
Statistic
SS, => n.C - )
SSB
MSg
F =
MSw
Between
N/p = /p
MSg
dfs
!!
%3D
(Numerator)
= k-1
SSw
MSw =
dfw
Within
SSw = ss,= -x) dfw=dfp
%3D
%3D
(Denominator)
= N-k
Total
SS, = SSg+SSw
Up
%3D
M/p + p =
Definitions
Mean of each group
Sum of Squares between groups
Degrees of Freedom between groups
Total number of data points in all groups
Mean of the Squares between groups
SSw
dfy
k
Grand Mean: Mean of all data points
Sum of Squares within each group
Degrees of Freedom within each group
Number of groups
Mean of the Squares within each group
SSR
dfs
MSB
MSy
Fill in the summary table for the ANOVA test:
SS
df
MS
Between
Within
Total
Critical Value Fo-
Transcribed Image Text:ANOVA Table Sum of Squares SS Degrees of Freedom df Mean of F-Test Squares MS Statistic SS, => n.C - ) SSB MSg F = MSw Between N/p = /p MSg dfs !! %3D (Numerator) = k-1 SSw MSw = dfw Within SSw = ss,= -x) dfw=dfp %3D %3D (Denominator) = N-k Total SS, = SSg+SSw Up %3D M/p + p = Definitions Mean of each group Sum of Squares between groups Degrees of Freedom between groups Total number of data points in all groups Mean of the Squares between groups SSw dfy k Grand Mean: Mean of all data points Sum of Squares within each group Degrees of Freedom within each group Number of groups Mean of the Squares within each group SSR dfs MSB MSy Fill in the summary table for the ANOVA test: SS df MS Between Within Total Critical Value Fo-
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