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Statistics Homework Solutions 153

# Statistics Homework Solutions 153 - 153 SECTION 6.9 The...

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SECTION 6.9 153 5. The signed ranks are Signed x x 0 Rank 0 01 0 01 2 0 01 0 01 2 0 01 0 01 2 0 03 0 03 4 0 05 0 05 5 5 0 05 0 05 5 5 0 07 0 07 7 0 11 0 11 8 0 13 0 13 9 0 15 0 15 10 The null and alternate hypotheses are H 0 : μ 0 versus H 1 : μ 0. The sum of the positive signed ranks is S 23 5. n 10. Since the alternate hypothesis is of the form μ μ 0 , the P -value is twice the area under the signed rank proba- bility mass function corresponding to S 23 5. From the signed-rank table, P 2 0 1162 0 2324. We cannot conclude that the gauges differ. 7. The ranks of the combined samples are Value Rank Sample 12 1 X 13 2 X 15 3 X 18 4 Y 19 5 X 20 6 X 21 7 X 23 8 Y 24 9 Y 27 10 X 30 11 Y 32
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