Imagine you are interested in whether there is a significant difference between

Question

Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational group. Use the data in the accompanying table to calculate the value of the between group sum of squares. Your answer should be rounded to two decimal places, like 5.43 or 10.36. Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational group. Calculate the mean square between. Your answer should be rounded to two decimal places, like 5.43 to 10.36. Imagine you are interested in whether there is a significant difference between the mean age of marriage across educational groups. If the F statistic is 8.49 and the critical value is 6.34, are these results statistically significant or not? Yes, the results are statistically significant. No, the results are not statistically significant.

Explanation / Answer

Here we have to calculate value between sum of squares.

SSbetween = n(xbar -xgm)2

= 195 * (22.47- 23.33)2 + 590 * (22.87- 23.33)2 + 86 * (23.71- 23.33)2 + 185 * (24.58- 23.33)2 + 104* (25.1- 23.33)2

= 896.37

Q.22

Mean square in between = SS/(k-1) = 896.37/(5-1) = 224.09

Q.23 Here F statistic = 8.49

and F critical = 6.34

so here F > F critical so result are statistically significant and we can reject the null hypothesis and can say that there is significant difference between groups mean marriagable age.

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