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In order to win in Rugby World Cup, the researchers compare the score between Old Method and New Method. The score between the two methods is recorded and summarized in the SPSS output as given in the table below. Group Statistics Type of Method N Mean Std. Deviation Std. Error Mean Old Method 16 75.000 15.727 3.932 Score New Method 16 67.312 21.568 5.392 Independent Samples Test Levene's Test t-test for Equality of Means for Equality of Variances F Sig. df Sig. (2- Mean Std 90% Confidence tailed) Differen Error Interval of the ce Differen Difference ce Lower Upper Equa variances 1.737 .197 1.152 30 .258 7.688 6.673 -3.639 19.014 assumed Score Equal variances not 1.152 27.436 .259 7.688 6.673 -3.672 19.047 assumed Assume that the data are normally distributed. a) What is the assumption for the equality of variances? Use a=0.05. (3 marks) b) Prove that the mean difference is 7.688. (2 marks) C) Using the p-value approach, is there enough evidence to conclude that there is a mean difference in score between the two methods? Use a=0.1