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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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