The mean productivity rating for all employees at a company was 3.8 on a five po

Question

The mean productivity rating for all employees at a company was 3.8 on a five point scale last year. This year you get ratings from a representative sample of fifteen employees from the Human Research Management. Do the data from this sample provide evidence that employee productivity in the department of Human Resource Management is significantly higher than in the company as a whole at alpha .01? Sample Scores: 4.1, 3.9, 3.5, 4.0, 4.4, 4.3, 4.2, 4.5, 3.9, 3.6, 4.2, 4.4, 4.1, 4.3, 4.2 ANSWER Write the alternative hypothesis Answer 1 hr 52 mins Test Statu

Explanation / Answer

from above: null hypothesis: mean =3.8

alternate hypothesis: mean>3.8

as P value is less then 0.01 , we reject null hypothesis

X 4.1 3.9 3.5 4 4.4 4.3 4.2 4.5 3.9 3.6 4.2 4.4 4.1 4.3 4.2 mean(X) 4.107 std deviation(S) 0.2865 std error =S/(n)1/2 0.0740 t=(X-3.8)/std error 4.1453 p value 0.0005

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