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
DC method()
13.5
13.3
13:0
12.9
13.3
13.0
To determine if the precision levels of the Entymatic method and DC method differ significantly, we can perform an F-test.
The F-test statistic is calculated as:
F = (s1^2 / s2^2)
where s1^2 and s2^2 are the variances of the two methods.
From the data given, the variances of the Entymatic method and DC method are:
s1^2 = 0.145
s2^2 = 0.097
Using these values, we can calculate the F-test statistic:
F = (0.145 / 0.097) = 1.4948
Next, we need to find the critical F-value from the F-distribution table. With 4 degrees of freedom in the numerator and 4 degrees of freedom in the denominator at a 95% confidence level, the critical F-value is 6.39.
Since our calculated F-value (1.4948) is less than the critical F-value (6.39), we fail to reject the null hypothesis. This means that there is not enough evidence to suggest that the precision levels of the Entymatic method and DC method differ significantly.