Decide if the 2 sets of data belong to the same population: set1 set2 16.38 16.84 Grubb´s test: 19.15 15.46 H0 = There is no outlier in the data set 1. H0 = There is no outlier in the data set 2. 19.1 14.41 Ha = There is one outlier in the data set 1. Ha = There is one outlier in the data set 2. 19.28 18.1 19.12 16.99 Max value: 19.28 T (max)= 0.640528401 Max value: 18.1 T (max)= 1.58505 18.85 15.11 Min value: 12.45 T (min)= 2.576242909 Min value: 14.41 T (min)= 1.20201 18.1 15.1 Mean: 17.92 critical= 2.29 Mean: 16.00 critical= 2.02 19 St. dev.: 2.123246989 St. dev.: 1.32398 17.77 H0 is rejected as calculated T (min) value is higher than critical value. H0 is accepted as both calculated T values are smaller than critical value. 12.45 "Therefore, the value 12,45 is an outlier." "Therefore, there are no outliers in the data set 2." F-test: T-test: H0 = the means of the 2 data sets are practicallz equal dof= 14 Pool variance= 1.274688662 9 7 .=N T= 4.440190496 0.9160 1.7529 .=variance Tcrit2= 2.144786688 18.53 16.00 .=mean H0 is rejected as the calculated T value is higher than the critical value. H0 = both variances are equal "Therefore, there is a difference between the means of the 2 data sets, therefore, they do not belong to the same population." F= 1.913621262 Fcrit2= 5.599623005 H0 is accepted as the calculated F value is lower that critical value. The variances are equal.