Question

An industrial engineer is conducting an experiment on eye focus time. He is interested in the effect of the distance of the object from the eye on the focus time. Four different distances are of interest. He has five subjects available for the experiment. Because there may be differences among individuals, he decides to conduct the experiment in a randomized block design. The data obtained follow. Analyze the data from this experiment (use α = 0.05) and draw appropriate conclusions. You must complete this ANOVA table by hand showing the formula you are using for each step.

Subject Distance (ft) 1 2 106 7 6 5 2 3

Answer 1

Sol table Use Excel to compute ANOVA Excel procedure step 1 Seledt Data and click Dta Analy step chooge Anova: To - Factor without replication step n Inpet rarge , Select 82: G5 3: step 4 Click Ok. Excel Cutput Anova: Tuo-Factoy uithout replicahion Bummary ount Sum Avexage Vasiance 6.8 3.2 Row 4 34 Row 26 5.2 Row 3 3.6 Row 2.2 5 3.8 Column1 4. 666667 4 28 Column 4.75 2.25 Cofumn 3 H.15 2 25 Column 4.916667 2.75 Colamn 5 2 20 A

ANOVA df Souse of Vaxic SS F csit P-Value MS Rous 3.490295 3 o.98333 8.C4379 o.002543 32.95 3.25916 7.11647 o.oo 352 Columns 9.075 36.3 5.3 Enox 275 (2 Total 84.55 From the Ezcel outputthe p-Vvaluę fox ows is o oo25 43. Concusion Use tevel of sgnificance T P-Value ilesser than the level of Signiffcane, then seject the null ypathesis aos Hee, the p-Vale (- 0.002543) 4 (es^er than the level ot significance (d0.05), then the null hypothesis is rejected ie. all teatment meang axe not epual