P2 (25 Pt). On a major in the located in four locations . On a time study conduc
ID: 3050771 • Letter: P
Question
P2 (25 Pt). On a major in the located in four locations . On a time study conducted by CUSEB students the goal was to determine if there isa ti located in es to gather the parts to assemble a filter-box based on different operators aternoon, evening). The times are listed belovw Using 4x4 Latin ernoon uthe warehouse and different 4 different shift (morning, afternoon, Square confliguration in your text (page 162) table 2.1 configuration is Is there a major difference in mean assembly time? con a) c) Wha Analyze data from this study. Is there an indication that operator location is significant? r does comparison among four shifts indicates? OPERATORS 3 Shifts MorninaA 1.57 B1 2 1.52 1.68 D Afternoon B1.49 C Mid Afternoon 1.65 D 1.56 A1.58 B 1.53 D1.53 A 1.6 R venin 1.6 Theimberr ceenabone are aerages bencen3work dqys per operarExplanation / Answer
since level of significance is not mentioned so let it is 0.05( alpha=0.05 )
number of row=number of column=number of treatment=k=4
total obsernation=n=16
grand total=G=25.04
CF=G2/n=25.04*25.04/16=39.1876
Total SS=1.572+1.492+...+1.532+1.552 - CF=39.2348-25.04*25.04/16=0.0472
Column SS=(6.192+6.332+6.32+6.222)/4 -CF=39.1909-39.1876=0.0033
row SS=39.1900-39.1876=0.0024
treatment SS=39.2197-39.1876=
follwoing ANOVA is generated
(a) p-value of treatment is less than alpha=0.05, so it is significant and it can be concluded that there is major difference in assembly time
(b)No, as p-value of location ( column ) is less than alpha=0.05
(c)there is no difference , as p-value of shift( row ) is less than alpha=0.05
Operators 1 2 3 4 row total Morning 1.57 1.52 1.63 1.56 6.28 shifts Afternoon 1.49 1.68 1.52 1.58 6.27 Mid-Afternoon 1.65 1.53 1.6 1.53 6.31 Evening 1.48 1.6 1.55 1.55 6.18 column total 6.19 6.33 6.3 6.22 25.04Related Questions
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