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# ANOVA in Megastat for ATM location

Please see attachment and answer , Highlighted question.

Location Number of transactions
Group A Location 1 96
Group B Location 2 102
Group C Location 3 84
Group D Location 4 78

I conducted an ANOVA in the following tables. I was trying to test the best location for a bank to pilot a new type of ATM machines. I based my ANOVA on the atm transactions of 4 different locations . I ran the test through megastat. I am not sure I understand what the results are , can you help me explain it? I used a .05 level of significance to establish if there is a mean daily atm transactions in the 4 locations.
H1= Transactions would be different at the different locations

Ho= Transactions would be the same.

I need a brief explanation below each table:

Table 2 Test Components
Source of Variation Sum of Squares d.f. Mean squares F
between 5.9954E+05 3 1.9985E+05 0.5375
error 1.3237E+08 356 3.7184E+05
total 1.3237E+08 359

Mean 215.99
95% confidence interval for Mean: 93.60 thru 338.4
Standard Deviation 515
High = 1913 Low = 0.000
Median 1.000
Average Absolute Deviation from Median 215

Table 3 above illustrates the number of ATM transactions at location 1 is 96.

Table 4 Group B: Number transaction =102 Calculation Results
Mean 316.40
95% confidence interval for Mean: 197.7 thru 435.1
Standard Deviation 716.
High = 2409. Low = 0.000
Median = 2.000
Average Absolute Deviation from Median 315
Table 4 above illustrates the number of ATM transactions at location number 2 is 102.

Table 4 Group C Calculation results
Mean 229.58
95% confidence interval for Mean 98.74 thru 360.4
Standard Deviation = 576
High = 2276 Low = 0.000

Median 3.000

Average Absolute Deviation from Median = 228.

Table 4 above illustrates the number of ATM transactions at location number 3 is 84.

Table 5 Group D, Calculation Results
Mean 240.62
95% confidence interval for Mean 104.8 thru 376.4
Standard Deviation 602.
High = 2557 Low = 0.000
Median 4.000
Average Absolute Deviation from Median 239

The table above illustrates that the number of transactions at location number four is 78.

#### Solution Summary

The solution provides step by step method for the calculation of ANOVA in Megastat . Formula for the calculation and Interpretations of the results are also included.

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