Management training programs are often conducted in order to teach supervisory s

Question

Management training programs are often conducted in order to teach supervisory skills and thereby increase productivity. An industrial psychologist at a large company administers a similar test to six supervisors before and after a training program. The tests are designed to measure whether the training program significantly increased supervisory skills. Use =0.01. X1 =Before Training X2 =After Training D=X2 – X1 D2=(X2 – X1)2 1 63 78 2 84 85 3 91 99 4 71 82 5 80 78 6 83 84 D = D2 = D = D=After Training – Before Training = D=X2 – X1 17. State the Alternative Hypothesis

Explanation / Answer

here at above test stat and (n-1=5) degree of freedom pvalue=0.0415

as p value is greater then 0.01 level, we can not reject null hypothesis, hence can not accept the claim that performance has improved,

Before after difference(d) 63 78 15 84 85 1 91 99 8 71 82 11 80 78 -2 83 84 1 mean 5.667 std deviaition 6.6833 std error= std dev/(n)^(1/2) 2.7285 t stat= (d-0)/std error 2.0769

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