International Journal of Mathematical Archive-4(3), 2013, Available online through ISSN

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1 Iteratioal Joural of Mathematical Archive-4(), 201, Available olie through ISSN QUALITY CONTOL OF SEA, BY USING DIFFEENT CHTS V. Vasu 1*, B. Kumara Swamy Achari 2 ad L. Sriivasulu eddy 1,2, Departmet of Mathematics, Sri Vekateswara Uiversity, Tirupati , A.P., Idia (eceived o: ; evised & Accepted o: ) ABSTACT Quality cotrol of sera by usig chart, C Chart, Charts for testig of sample. Keywords: Sera, Mea Chart, Defective Chart, age Chart. INTODUCTION I. CHT The chart is used to show the quality averages of the samples draw from a give process. The followig values must first be computed before a chart is costructed: 1. Obtai the mea of each sample, i.e, 1 2 ( ) sample by the umber of items i the sample ( or sample size). x =,, etc. This is doe by dividig the sum of the values icluded i a 2. Obtai the mea of the sample meas, i.e., ( ) This is doe by the sum of the sample meas of samples to be icluded i the chart. Number of samples. The cotrol limits are set at U.C.L. = + L.C.L. = = x ad = d' is a biased estimator of ad + U.C.L. = 2 L.C.L. = 2 d ' is the correctio factor. Therefore the cotrol limits are. by the umber II. C CHT The C Chart is desiged to cotrol the umber of defects per uit. It is very popularly used i statistical work. The cetral lie of the cotrol chart for C is C ad the - sigma cotrol limits are: U.C.L. = C L.C.L. = C Correspodig author: V.Vasu 1* Departmet of Mathematics, Sri Vekateswara Uiversity, Tirupati , A.P., Idia Iteratioal Joural of Mathematical Archive- 4(), March

2 V.Vasu 1*, B. Kumara Swamy Achari 2 ad L. Sriivasulu eddy / QUALITY CONTOL OF SEA, BY USING DIFFEENT CHTS/ IJMA- 4(), March III. CHT The chart is used to show the variability or dispersio of the quatity produced by a give process. chart (or chart) is the compaio chart to chart ad both are usually required for adequate aalysis of the productio process uder study. The chart is geerally preseted alog with the chart. The geeral procedure for costructig the chart is similar to that for the chart. The required values for costructig the chart are: 1. The rage of each sample. 2. The mea of the sample rages.. U.C.L. ad L.C.L. + U.C.L. = ; ad L.C.L. = = the stadard error of the rage Chart 1 ( - Chart) 1. Specime aalyzed: Quality cotrol serum 2. Determiatio: Glucose by glucose oxidase method. Mea glucose value: 100 mg/dl. Sample I Idividual test values Sample II Idividual test values Table: 1 Sample - III Idividual test values Sample mea Sample age i. ii. Number of samples iii. The cotrol limits are set at U.C.L. = + L.C.L. = = x ad = d' is abased estimator of ad d is the correctio factor. The values of d are tabulated ad are tabulated ad are give i the appedix at the ed of the book. + U.C.L= 2 L.CL= 2 1. The mea of each sample is give i the table for example for the first sample is 289 = , IJMA. All ights eserved 7

3 V.Vasu 1*, B. Kumara Swamy Achari 2 ad L. Sriivasulu eddy / QUALITY CONTOL OF SEA, BY USING DIFFEENT CHTS/ IJMA- 4(), March The mea of the sample meas is obtaied that = = The value of is computed from the values of show i the table 1. The sample value of for the first sample is computed as follows. = = 4. The value or,i.e. the mea of the values of is obtaied as follows: 2 = = =.8 = U.C.L 2 [The table value of A2 for =6 is 0.48] UCL.. = + 2 = = = mg/dl app = L.C.L 2 = = = mg/dl app Drawig a chart: All the poits except to poits are ot fallig with i the cotrol Limits. The process is ot i a state of cotrol chart The required values for the chart are: 1. The rage of each sample, 2. The mea of the sample rages 2 = = =.8 201, IJMA. All ights eserved 74

4 V.Vasu 1*, B. Kumara Swamy Achari 2 ad L. Sriivasulu eddy / QUALITY CONTOL OF SEA, BY USING DIFFEENT CHTS/ IJMA- 4(), March U.C.L = D 4 LCL.. = D From the table for the sample of size 6, we fid that D = 0, D4 = UCL.. = D 4 = = 7.67 LCL.. = D= 0.8 = 0 CONCLUSION The fact that i the graph all sample poits are fallig except oe poit with i cotrol limits ca be iterpreted as implyig that the process is i a state of statistical cotrol. CHT 2 (C Chart) The followig table gives the umber of errors of aligmet observed at fial ispectio of a I order to check the accuracy of the aalysis ru ad also the quatity cotrol sera, detect systematic errors, whe a systematic error (all low values or all high values) is preset the cusum values will steadily icrease. Table - 2 Mea Value Idividual test values Defectives , IJMA. All ights eserved 75

5 V.Vasu 1*, B. Kumara Swamy Achari 2 ad L. Sriivasulu eddy / QUALITY CONTOL OF SEA, BY USING DIFFEENT CHTS/ IJMA- 4(), March U.C.L. = L.C.L. = C C C CHT: The computatio required for preparig this chart (i) C, i.e average umber of defects 8 C = = c U.C.L. = = 0.57+x0.75 = = 2.8 L.C.L = c = 0.57-x0.75 = = or 0 (zero) sice L.C.L caot be egative. CONCLUSION It is clear from the chart that most of the poit of this sample falls outside the cotrol limits ad this is to be treated as a dager sigal. EFEENCES 1. S.P. Gupta Statistical Methods Sulta Chad & Sos, Educatio Publishers, New Delhi, 7 th editio. 2. Grat, E.L. Statistical Quality Cotrol. New York. McGraw Hill, Jura, J.M. Quality Cotrol Hadbook. New York, Mc Graw Hill, Ishikawa, K. Guide to quality cotrol. White plais. N. Y. Asia Productivity Orgaizatio, Source of support: Nil, Coflict of iterest: Noe Declared 201, IJMA. All ights eserved 76