Researchers studied the fine motor skills of 8 kindergarten

Researchers studied the fine motor skills of 8 kindergarten students receiving occupational therapy. They used an index of fine motor skills that measured hand use, eye-hand coordination, and manual dexterity before and after 7 months of occupational therapy. Higher values indicate stronger fine motor skills. Researchers plan to use a Wilcoxan signed-rank test with a significance level a = 0.01 to test if occupational therapy changes motor skills in kindergarten students. What is the proper test statistic for the Wilcoxan Signed-Rank test? What is the proper critical value? The corresponding decision is:

Solution

              | di | = 3 30   15 2   6   11 8 12   

Ranks of | di | = 2   8     7   1   3    5 4    6

Let T⁺ be the sum of ranks of +ve signs = 31

and T^- be the sum of ranks of -ve signs = 5

Test statistic T = min {T1, T2} = min{31,5} = 5

The critical value T_alpha=0.01 = 0

Here, T > T_alpha=0.01 we failt to reject H0.

Correct Option is FTR H0