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In: Statistics and Probability

Test the four lists attached to see if there is a difference between the means or...

Test the four lists attached to see if there is a difference between 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

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