Use the MiniTab display. A manager records the production output of three employ
ID: 2948139 • Letter: U
Question
Use the MiniTab display. 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 Employee I 23,27, 29 30,27, 25 18, 20, 22 Machine 25,26 24 24,29, 26 19, 16 14 ? 28,25,26 25,27,23 15,11,17 ANALYSIS OF VARIANCE ITEMS SOURCE DF SSMS MACHINE 2 3467 1733 EMPLOYEE 250L6725233 INTERACTION 426676.67 ERROR TOTAL 18 9800 5.44 26 664.00 Using a 0.05 significance level, test the claim that the interaction between employee and machine has no effect on the number of items produced. State the null hypothesis. A) Ho: There is no interaction effect B) Ha: There is no interaction effect C) None of these. D) Ha: There is an interaction effect. E) Ho: There is an interaction effect.Explanation / Answer
here for above option A is correct ; Ho; there is no interaction effect.
hre for 0.05 level and (4,18) degree of freedom critical value F =2.93
test statsitic F=MS(interaction)/MS(error)=6.67/5.44=1.23
as test statsitic is not higher than critical value we can not reject null hypothesis
we do not have evidence to conclude that there is a significant interaction between employee and machine
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