The following ANOVA table, based on information obtained for three samples selected from three independent populations that arenormally distributed with equal variances, has a few values missing.Note: Use Table VII in Appendix C to find critical Fvalues for given df.(a) Find the missing values and complete the ANOVA table.Round the answers in the table to four decimal places.Source ofDegrees of FreedomSum of SquaresMean SquareValue of the Test StatisticVariationBetween217.3582Within83.5663Total11(b) Using a = 0.01, what is your conclusion for the test with the null hypothesis that the means of the three populations are equalagainst the alternate hypothesis that the means of the three populations are not equal?the null hypothesis that the means of the three populations are equal.We wille Тextfail to rejectreject

Name: The following ANOVA table, based on information obtained for three sa
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Description: The following ANOVA table, based on information obtained for three samples selected from three independent populations that arenormally distributed with equal variances, has a few values missing.Note: Use Table VII in Appendix C to find critical Fva

let us first understand the generalized ANOVA table. source of variation degrees of freedom sum…

Answered: Round the answers in the table to four…

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The following ANOVA table, based on information obtained for three samples selected from three independent populations that are
normally distributed with equal variances, has a few values missing.
Note: Use Table VII in Appendix C to find critical Fvalues for given df.
(a) Find the missing values and complete the ANOVA table.
Round the answers in the table to four decimal places.
Source of
Degrees of Freedom
Sum of Squares
Mean Square
Value of the Test Statistic
Variation
Between
2
17.3582
Within
83.5663
Total
11
(b) Using a = 0.01, what is your conclusion for the test with the null hypothesis that the means of the three populations are equal
against the alternate hypothesis that the means of the three populations are not equal?
the null hypothesis that the means of the three populations are equal.
We will
e Тext
fail to reject
reject

Expert Solution

Step 1

let us first understand the generalized ANOVA table.

source of variation	degrees of freedom	sum of squares	mean square	F
between	k-1	SSB	SSB/K-1	MSSB/MSSW
within	n-k	SSW	SSW/N-K
total	n-1	SST

where n is total sample size ,k is number of treatment .

hence for the above table

degrees of freedom for error (within )=total degrees of freedom- treatment (between)degrees of freedom

SSB=degrees of freedom (between)* mean SSB

total SS=SSB + SSW

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