a. Write out the null and alternative hypothesis being tested using correct notation.

b. Use the SPSS output to determine whether or not the null hypothesis should be rejected. Report the value of the test statistic and show how you reached your decision? (Use ? = 0.05)

c. Write out conclusion of the above test in the context of the question.

d. Check whether or not the conditions hold for the test to be valid and comment on the implications of your findings.

e. If appropriate summarise the results of a post-hoc multiple comparison test indicating which test (if any) is the most appropriate and why.

Data:

Descriptives of Balance across the different card Usage habits of card holders Balance N Mean Std. Deviation 10 or less 282 $1 50791 $962592 11 to 20 230 $1 .584.01 $1 .009.866 21 to 30 190 $1,914.83 $1,016.680 More than 30 148 $2,682.50 $1 04095:! Total 850 $1 .823.98 $1 .085.630 Tests of Homogeneity of Variances Levene Statistic an on Sig. Balance Based on Mean 2.221 3 846 .084 ANOVA Balance Sum of Squares 61 Mean Square F Sig. Between Groups 1520697303 3 5068991011 50.537 001 Within Groups 8485545412 846 1003019552 Total 1000624272 849 Post Hoc Tests Multiple Comparisons Dependent Variable: Balance Bonferroni Mean 95% Confidence Interval Difference (1- (1) Usage (J) Usage J ) Std. Error Sig. Lower Bound Upper Bound 10 or less 11 to 20 $76.101 $88.982 1.000 -$311.41 $159.21 21 to 30 $406.924 $93.999 <.001 more than to or less the mean difference is significant at level.simple histogram of balance by groceries often percent frequency sometimes never>