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Does music hinder or help performance in math? Researchers designed an experiment using 30 student volunteers to find out. Each subject completed a 50 digit

Does music hinder or help performance in math? Researchers designed an experiment using 30 student volunteers to find out. Each subject completed a 50 digit arithmetic test with and without music playing. For each subject, the order of the music and no music treatments were randomly assigned, and the time to complete the test in seconds was recorded for each treatment. Here are the data:

Student 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Time with music 83 119 77 75 64 106 70 69 60 76 47 97 68 77 48 78 113 71 77 37 50 58 52 47 71 146 44 53 57 39
Time without music 70 106 71 67 59 112 83 69 65 83 38 90 76 68 50 73 93 59 70 39 52 60 54 51 60 141 40 56 53 37

Construct and interpret a 90% confidence interval for the mean difference of test completion time, with and without music.

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