A manager records the production output of three employees who each work on thre

Question

A manager records the production output of three employees who each work on three different machines for three different days. The sample results are given below and the Minitab results follow. ved Employee 1 16, 18 19 15, 17, 20 14,18 16 Machine 20,27,29 25,28,27 29,28,26 ml 15,18,17 16,16, 19 13,17,16 ANALYSIS OF VARIANCE ITEMS SOURCE MACHINE EMPLOYEE INTERACTION 4 1548 3S7 ERROR TOTAL DF SS MS 2 588.74 294 37 2 207 104 1S 9867 5.4S 26 70496 Assume that the number of items produced is not affected by an interaction between employee and machine. Using a 0.05 significance level, test the claim that the choice of employee has no effect on the number of items produced. Calculate the F-statistic for this test. Round your answer to four decimal places. A) 0.7062 B) 5.2692 C) 0.1898 D) 70.0210 E) 3.5500 se ved

Explanation / Answer

For employee,

MSR = 1.04

And

MSE = 5.48

Hence,

F statistic = 1.04/5.48 = 0.1898

Option C is correct.

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