You are interested in examining the effects of the transition from fetal to post

Question

You are interested in examining the effects of the transition from fetal to post-fetal circulation among premature infants. For each of the following 14 healthy newborns, their respiratory rate was measured at two different times - once when the infant was less than 15 days old, and again when they were more than 25 days old. Using the Wilcoxon Signed-Rank test, test the claim at 95% confidence that the median respiratory rates are not the same for these two times. State the Null and Alternative Hypothesis (1) State the Decision Rule (1) Conduct the test to determine the test value (4) State the Decision and Interpretation (1,1)

Explanation / Answer

H0: Two medians are same

H1:Two medians are not same

ii) If P< alpha we reject Ho

iii) Test statistic:

Now Test statistc

Z =

W-value: 26
Mean Difference: 10.29
Sum of pos. ranks: 79
Sum of neg. ranks: 26

Z-value: -1.6636
Mean (W): 52.5
Standard Deviation (W): 15.93

Sample Size (N): 14

Hence Z= -1.6636

Conclusion:

P value=0.0969 alpha=0.05

P>alpha we accept the Ho.

Hence the result is not significant

Time1 Time2 sign Abs R Sign R 62 46 1 16 10 10 35 42 -1 7 5 -5 38 40 -1 2 1.5 -1.5 80 42 1 38 13 13 48 36 1 12 7.5 7.5 48 46 1 2 1.5 1.5 68 45 1 23 11 11 28 40 -1 12 7.5 -7.5 48 42 1 6 4 4 27 40 -1 13 9 -9 43 46 -1 3 3 -3 67 31 1 36 12 12 52 44 1 8 6 6 88 48 1 40 14 14

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