To determine if the precision levels of the two methods differ significantly, we can perform an F-test using the given data.
First, we calculate the sample means for each method:
Entymatic method:
Mean = (13.1 + 12.7 + 12.6 + 13.3 + 13.3) / 5 = 12.8
DC method:
Mean = (13.5 + 13.3 + 13.0 + 12.9 + 13.0) / 5 = 13.14
Next, we calculate the sum of squares of deviations from the mean for each method:
Entymatic method:
SS = (13.1 - 12.8)^2 + (12.7 - 12.8)^2 + (12.6 - 12.8)^2 + (13.3 - 12.8)^2 + (13.3 - 12.8)^2 = 0.33
DC method:
SS = (13.5 - 13.14)^2 + (13.3 - 13.14)^2 + (13.0 - 13.14)^2 + (12.9 - 13.14)^2 + (13.0 - 13.14)^2 = 0.90
Now, we calculate the F-statistic using the formula:
F = (SS of the DC method / degrees of freedom of DC method) / (SS of the Entymatic method / degrees of freedom of the Entymatic method)
Degrees of freedom for both methods is 4.
F = (0.90 / 4) / (0.33 / 4) = 2.73
Using a critical F-value of 6.39 at a 95% confidence level with degrees of freedom 4 and 4, we can see that the calculated F-value of 2.73 is less than the critical value. Therefore, we can conclude that there is no significant difference in the precision levels of the two methods.
F-test Predict if the precision levels of two methods given in numerical above differ significantly or not. Given. F6.39 atv, 4 at 95% confidence level Entymatic method ()
13.1 12.7 12.6 13.3 13.3
DC method()13.5 13.3
13.0
12.9
13.0
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