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A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups . Based on the

A researcher is interested in whether there is a significant difference between the mean age of marriage across three racial groups . Based on the data below, answer these questions.

Race

N

Mean

Black

113

25.39

White

904

22.99

Other

144

23.87

All Groups

1,161

23.33

Race

Y bar for each group

Total mean

Group mean Total mean

Square of the difference

The number of cases

Nk*Square of the difference

Black

25.39

23.33

2.06

4.2436

113

556730.6

White

22.99

23.33

-0.34

0.1156

904

121327.3

Other

23.87

23.33

0.54

0.2916

144

48750.85

1161

Sum up= 726808.8

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. If the critical value for an F statistic of 8.49 is 2.99, are these results statistically significant or not

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