We want to know what type of filter should be used over

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We want to know what type of filter should be used over the screen of a cathoderay oscilloscope in order to have a radar operator easily pick out targets on the presentation. A test to accomplish this has been set up. A noise is first applied to the scope to make it difficult to pick out a target. A second signal, representing the target, is put into the scope, and its intensity is increased from zero until detected by the observer. The intensity setting at which the observer first notices the target signal is then recorded. This experiment is repeated 20 times with each filter. The numerical value of each reading listed in the table of data is proportional to the target intensity at the time the operator first detects the target. Filter No. 1 Filter No. 2 Filter No. 3 90 88 95 87 90 95 93 97 89 96 87 98 94 90 96 88 96 81 90 90 92 84 90 79 101 100 105 96 93 98 90 95 92 (continued ) Test, at the 5 percent level of significance, the hypothesis that the filters are the same.