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Question: Does mean number of ATM transactions differ among low balance group ( $1500)?



1. Ho: Mean number of ATM transaction is same across three groups.

Ha: Mean number of ATM transaction is different for at least one group.



2. Level of significance chosen: 0.01



3. Type of test statistic: H-statistic







Kruskal-Wallis Test



Avg.

Median n Rank

5.50 10 10.45 Group 1

8.50 16 26.69 Group 2

12.00 34 38.19 Group 3

10.00 60 Total



20.686 H (corrected for ties)

2 d.f.

3.22E-05 p-value



multiple comparison values for avg. ranks

13.22 (.05) 16.21 (.01)









4. Critical value: 16.21, p-value = 3.22E-05

Decision rule: Reject null hypothesis if H>16.21 or p-value < 0.01





5. As p-value is less than significance level, null hypothesis is rejected.

It is concluded that the mean number of ATM transaction is not same among the three groups



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