Practitioners measured spiritual well-being (SWB) in a sample of 16 adults who w

Question

Practitioners measured spiritual well-being (SWB) in a sample of 16 adults who were alcoholic before and following treatment for alcoholism.

2

7

+5

1

+14

+8

+12

+11

6

+10

+15

+9

4

3

+13

+20

Use the normal approximation for the Wilcoxon signed-ranks T test to analyze the data above. (Round your answer to two decimal places.)
z =

State whether to retain or reject the null hypothesis. (Assume alpha equal to 0.05.)

Retain the null hypothesis.Reject the null hypothesis.  

Change in SWB
Following Treatment

2

7

+5

1

+14

+8

+12

+11

6

+10

+15

+9

4

3

+13

+20

Explanation / Answer

Result Details

W-value: 10
Mean Difference: 9.83
Sum of pos. ranks: 10
Sum of neg. ranks: 11

Z-value: -0.1048 (nb. N too small)

Sample Size (N): 6

Result 1 - Z-value

The Z-value is -0.1048. However, the size of N (6) is not large enough for the distribution of the Wilcoxon W statistic to form a normal distribution. Therefore, it is not possible to calculate an accurate p-value.

Result 2 - W-value

The W-value is 10. The critical value of W for N = 6 at p 0.05 is 0. Therefore, the result is not significant at p 0.05.

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