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# 9 In an effort to determine whether music affects one's ability to solve problemns, Mary conducted...

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9 In an effort to determine whether music affects one's ability to solve problemns, Mary conducted the experiment outlined below. (1) Randomly divide a group of 20 female students into two groups of 10. (2) Record how long it takes each student in one group to solve a maze while listening to music; record how long it takes each student in the other group to solve the maze without listening to music (3) Calculate the mean solution time for each group; calculate the difference of the mean solution times (4) Run a computer program that doeslthe following repeatedly: (a) randomly re-sorts the solution times into two groups of 10, (b) callculates the mean solution time for each group, and (c) calculates the difference of the mean solution times. (5) Form a conclusion regarding the experiment results, or determine that they are inconclusive. What is the purpose of step (4) in this experiment? oA to see how likely it is that the random sorting process alone would produce the difference of the mean solution times found in step (3) to see how tikely it is that the difference of the mean solution times found in step (3) was influenced by gender problem solvers are placed in the same group presented to the students increases in difficulty cto see if the difference of the mean solution times changes when the best to see if the difference of the mean solution times changes when the maze 6 7 8

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