Test the four lists attached to see if there is a differencebetween the means or not, then answer the following.
Test Statistic =
p-value =
Decision =

Use alpha = 0.05.

The four lists come from normally-distributed populations.

3.289999962 3.140000105 2.99000001 3

2.950000048 2.980000019 3.059999943 2.940000057

3.150000095 3  2.809999943 3.039999962

2.809999943 3.079999924 2.920000076 3.230000019

2.99000001 3.200000048 2.880000114 3.029999971

3.00999999 3.180000067 3.029999971 2.779999971

2.970000029 2.910000086 2.75  3.089999914

3.039999962 2.799999952 3.069999933 3.079999924

2.920000076 2.900000095 3.059999943 3.099999905

3.079999924 2.869999886 2.920000076 2.829999924

3.079999924 3.119999886 3.109999895 2.970000029

2.940000057 3.059999943 3.109999895 2.960000038

2.980000019 2.849999905 3.119999886 3.029999971

2.930000067 3.059999943 2.839999914 2.910000086

3.089999914 3.039999962 3.049999952 2.829999924

2.950000048 2.75999999 2.779999971 3.160000086

3.089999914 3  2.930000067 2.920000076

3.00999999 3.049999952 3.200000048 3.180000067

2.920000076 3.049999952 3.109999895 2.950000048

3.079999924 2.890000105 2.859999895 3.099999905

2.99000001 3.190000057 2.720000029 2.980000019

2.980000019 2.910000086 2.970000029 2.940000057

3.160000086 2.980000019 2.970000029 2.900000095

2.779999971 2.920000076 2.940000057 3.089999914