# Statistics- A researcher is interested in whether there is a significant

## Statistics- A researcher is interested in whether there is a significant

Problem set 1: Use the following data to answer questions 1-5 (30 points):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.RaceNMeanBlack11325.39White90422.99Other14423.87All Groups1,16123.33Calculate the value of the between group sum of squares (SSB, 10 pts).RaceY bar for each groupTotal meanGroup mean â Total meanSquare of the differenceThe number of casesNk*Square of the differenceBlackWhiteOtherSum up=Calculate the degrees of freedom for the between group sum of squares. Then, use this quantity to calculate the mean square between (6 pts).If the F statistic calculated for these data is 8.49, what is the value of the mean square within n(4 pts)?Following answer of #3, calculate the within group sum of squares and the number of degrees of freedom for the within group sum of squares (6 pts).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 (4 pts)?

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