11_14_11ans - 2, 2, 4, 3, 4, 5 H : m N = m A H : m N > m...

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STAT 409 Examples for 11/14/2011 Fall 2011 A pharmaceutical company is planning to introduce a new painkiller. In a preliminary experiment to determine effectiveness, 30 people were randomly selected, of whom 15 were given the new painkiller and 15 were given aspirin. All 30 were told to use the drug when headaches or ther minor pains occurred and to indicate which of the following statements most accurately represents the effectiveness of the drug they took. 5 = The drug was extremely effective. 4 = The drug was quite effective. 3 = The drug was somewhat effective. 2 = The drug was slightly effective. 1 = The drug was not at all effective. The responses are listed below using the codes. Can we conclude at the 5% significance level that the new painkiller is perceived to be more effective? New painkiller: 3, 5, 4, 3, 2, 5, 1, 4, 5, 3, 3, 5, 5, 5, 4 Aspirin: 4, 1, 3, 2, 4, 1, 3, 4, 2,
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Unformatted text preview: 2, 2, 4, 3, 4, 5 H : m N = m A H : m N > m A three 1s five 2s seven 3s eight 4s seven 5s one N, two A one N, four A four N, three A three N, five A six N, one A would have been ranked 1, 2, 3 would have been ranked 4, 5, 6, 7, 8 would have been ranked 9, 10, 11, 12, 13, 14, 15 would have been ranked 16, 17, 18, 19, 20, 21, 22, 23 would have been ranked 24, 25, 26, 27, 28, 29, 30 average = 2 average = 6 average = 12 average = 19.5 average = 27 W N = 1 2 + 1 6 + 4 12 + 3 19.5 + 6 27 = 276.5. W A = 2 2 + 4 6 + 3 12 + 5 19.5 + 1 27 = 188.5. Note that 276.5 + 188.5 = 465 = ( ) 2 1 30 30 + . Z = 12 31 15 15 2 31 15 5 . 276 -= 1.825 . p-value = P ( Z 1.825 ) = 0.034 . p-value < Reject H . OR Z = 12 31 15 15 2 31 15 5 . 188 -= 1.825 . p-value = P ( Z 1.825 ) = 0.034 . p-value < Reject H ....
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This note was uploaded on 11/15/2011 for the course STAT 409 taught by Professor Stephanov during the Fall '11 term at University of Illinois at Urbana–Champaign.

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11_14_11ans - 2, 2, 4, 3, 4, 5 H : m N = m A H : m N > m...

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