A large scale survey reported that the mean of pulses for healthy males is 72 bpm . A physician randomly selected 25 healthy males in a mountainous area and measured their pulses, resulting in a sample mean of 75.2 bpm and a standard deviation of 6.5 bpm . Can one conclude that the mean of pulses for healthy males in the mountainous area is higher than that in the general population （ μ > μ 0 ） ?
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12.1 Wilcoxon’s signed rank sum test (matched pairs)
Example 12-1 In order to study the difference of intelligence between twin brothers, the intelligence scores of 12 pairs of twin brothers were measured. The results are listed in Table 12.2.
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(5) P -value and conclusion —— Compare with critical value of H ( C 7 ) or k : Number of samples Example 12.7: Conclusion: The weights are not all at an equal level.
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12.3.2 Friedman test for the data from a randomized block design Example 12.4 The riboflavin were tested for 3 samples of cabbage under four test conditions (A, B, C and D). The results are listed in Table 12.9. Now the question is if the test results are different in different kinds of test conditions.
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