(* Simulated Datasets with Equal and Unequal Means: dataset1 dataset2 *)

(* dataset1: mu=4, sigma=1 *) 

(* dataset2: mu=4,5,6,7 sigma=1 *)



col={category,x};

dataset1={{1, 4.104}, {1, 4.159}, {1, 4.723}, {1, 3.757}, {1, 4.}, {1, 3.562}, {1, 

    4.069}, {1, 3.701}, {1, 4.666}, {1, 3.429}, {2, 5.113}, {2, 3.361}, {2, 

    5.758}, {2, 3.822}, {2, 4.253}, {2, 3.287}, {2, 3.668}, {2, 4.697}, {2, 

    4.488}, {2, 3.485}, {3, 1.872}, {3, 4.548}, {3, 3.367}, {3, 3.81}, {3, 

    3.008}, {3, 7.223}, {3, 3.754}, {3, 2.802}, {3, 4.406}, {3, 3.216}, {4, 

    3.486}, {4, 4.211}, {4, 3.483}, {4, 4.161}, {4, 4.338}, {4, 1.687}, {4, 

    2.906}, {4, 1.561}, {4, 5.662}, {4, 4.491}}



dataset2={{1, 4.88}, {1, 4.294}, {1, 3.651}, {1, 5.368}, {1, 4.794}, {1, 5.234}, {1, 

    3.713}, {1, 2.581}, {1, 4.665}, {1, 5.374}, {2, 6.091}, {2, 5.198}, {2, 

    6.256}, {2, 6.132}, {2, 3.539}, {2, 6.947}, {2, 4.907}, {2, 5.765}, {2, 

    5.417}, {2, 3.617}, {3, 7.929}, {3, 3.503}, {3, 6.992}, {3, 5.98}, {3, 

    7.22}, {3, 5.955}, {3, 5.061}, {3, 5.779}, {3, 5.003}, {3, 5.992}, {4, 

    5.945}, {4, 6.88}, {4, 5.739}, {4, 6.923}, {4, 6.599}, {4, 8.821}, {4, 

    5.816}, {4, 6.963}, {4, 7.974}, {4, 6.024}}