Question

In: Statistics and Probability

Independent random samples from two regions in the same area gave the following chemical measurements (ppm)....

Independent random samples from two regions in the same area gave the following chemical measurements (ppm). Assume the population distributions of the chemical are mound-shaped and symmetric for these two regions. Region I: , 1008 852 567 749 764 727 945 657 880 773 1023 1002 Region II: , 1070 750 879 836 711 1070 706 866 608 892 891 965 998 1089 852 443 Let be the population mean for and be the population mean for Find a 90% confidence interval for

Solutions

Expert Solution

Values ( X ) Values ( Y )
1008 32070.8283 1070 47687.6406
852 532.8387 750 10327.6406
567 68600.3577 879 749.3906
749 6386.6789 836 244.1406
764 4214.1779 711 19775.3906
727 10387.0137 1070 47687.6406
945 13475.3325 706 21206.6406
657 29555.3517 866 206.6406
880 2609.5035 608 59353.1406
773 3126.6773 892 1630.1406
1023 37668.3273 891 1550.3906
1002 29957.8287 965 12853.8906
998 21425.6406
1089 56346.8906
852 0.1406
443 166974.39
Total 9947 238584.9162 13626 468019.7496

Mean

Standard deviation

Mean

Standard deviation

Confidence interval :-



DF = 25



Lower Limit =
Lower Limit = -127.4153
Upper Limit =
Upper Limit = 81.9987
90% Confidence interval is ( -127.4153 , 81.9987 )


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