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The information to the right is available for two samples selected from independ

ID: 3129320 • Letter: T

Question

The information to the right is available for two samples selected from independent and similarly shaped right-skewed populations. Complete parts (a) through (d) below Replace the observed values with the corresponding ranks (where 1 = smallest value and n = + n2 = 11 = largest value) in the combined samples. Complete the table below. (Type integers or decimals.) What is the value of the test statistic T-1? T_1 = (Type an integer or a decimal.) Compute the value of the sum of the ranks in the larger sample T_2.= (Type an integer or a decimal.) To check the accuracy of your rankings, determine if T_1 +T_2 = n(n + 1) Determine T_1+T2 = (Simplify your answer.) Find n(n +1)/2 n(n+1)/2 = (Simplify your answer.)

Explanation / Answer

Sample 1 Rank = 1.1 || 2.3 || 2.9 || 3.6 || 14.8

1 2 4 5 10

Sample 2 Rank = 2.8 || 4.4 || 4.4 || 5.3 || 6.1 || 18.5

3 6 7 8 9 11

T1 = 26

T2 = 40

T1 + T2 = 26 + 40

= 66

n(n+1) / 2 = 11(11+1)/2

= 11*12/2

= 66

Hence, T1 + T2 =  n(n+1) / 2