统计课程小结.pptx

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1、G5 Industry Co.,Ltd.HERE IS A COMPANY第1页/共28页Its business scope isAll kinds of metal stampings22.1%53.6%11.4%12.2%The main productsNotebookCar components Smart phoneSever第2页/共28页THERE IS A CONTRACTNOW:第3页/共28页BUT,IT REQUIRE THE PRICETO REDUCE FOR 15%.第4页/共28页DO YOU SIGNTHE CONTRACT第5页/共28页THEN,YOU N

2、EED THE DATATO COMPILE STATISTICSTO ANALYSETO MAKE THE DECISION第6页/共28页Part I:TO COMPILE STATISTICS第7页/共28页We collect the forty-two days data from the factory第8页/共28页In this situation,it seems that the project will be loss if you accept the contract.Summary measures for selected variablesSummary mea

3、sures for selected variablesDPPM:The number of defects in million of products.Amount_DefectsDPPMCost_per_unitGross profitCount42.00042.00042.00042.00042.000Mean152423.0715177.35734902.448103.620-0.770Median146488.5005314.00036283.407103.765-0.915Standard deviation32504.848683.0645786.5950.6210.621Mi

4、nimum101125.0003734.00024627.068102.525-1.935Maximum213720.0006356.00045661.392104.7850.325From the data,we can get the following information So,we should use these information to further analyze the issue.第9页/共28页Part II:DATA ANALYSIS第10页/共28页According to the data,the diagram can be draw 90%91%92%9

5、3%94%95%96%97%98%99%CostGrossprofit135791113151719212325272931333537394110%9%8%7%6%5%4%3%2%1%0%DefectivesFrom the diagram we can find the gross profit ratio is inverse relative with the defects ratio.第11页/共28页Then,We will through the regression analysis to find the linear equationFrom the F-test and

6、 T-test,we get the p-value Significant Level 0.05 and the R-square=0.9435,all these indicate the DPPM and the profit is significant correlation.From the Scatter diagram we can find the DPPM and the profit is linear correlation.Now,we can get the linear equation.Profit=1.9951-0.0001*DPPMSo,DPPM shoul

7、d down to 19951 and below.第12页/共28页 The DPPM is normal distribution.The biggest value of frequency appear near the mean.NOW,WE WILL ANALYSE THE DATA OF DPPM 第13页/共28页Hypothesis Testing The DPPM data as independent samples were analyzed by T test.Assumption:H0 19951For 19951 is the break-even point P

8、Significant Level 5%We reject H0 and accept Ha,so for the population DMMP will more than 19951.If accept the contract we must improve the project.第14页/共28页SOLUTION 1SOLUTION 3SOLUTION 2IMPROVEMENTThere are three solutions to be choose for the improvement第15页/共28页SOLUTION 1SOLUTION 3SOLUTION 2We test

9、 three solutions respectively,and obtain the relevant data第16页/共28页Through ANOVA,we get the p-value Significant level 0.05,so the H0 will be rejected,then three solution is significant difference.And the DMMP sample means of every solution are all under the break-even point 19951.All solution is fea

10、sible.第17页/共28页How to choose the solution,we need decisions第18页/共28页Part III:MAKE THE DECISION第19页/共28页It is estimated by expert,We got the expected returns of each solution SucceedFailureSolution 181Solution 2143Solution 3102The expected returns of each solution第20页/共28页WE MAKE THE DECISION TREE第21

11、页/共28页THE optimal decision isSign the contract and choose the solution 2 to make improvement.第22页/共28页After improvement,we collected about thirty days data to check.第23页/共28页Use the thirty days data,we draw the P-control chartFrom the P-chart we know the productive process is in the control.第24页/共28

12、页Results for one-sample analysis for DPPMResults for one-sample analysis for DPPMSummary measuresSummary measuresSample size30Sample mean3773.462Sample standard deviation1051.409Confidence interval for meanConfidence interval for meanConfidence level95.0%Sample mean3773.462Std error of mean191.960De

13、grees of freedom29Lower limit3380.860Upper limit4166.065Use the data after improvement,we can estimate the DPPM in new situation.According the sample data,we get the lower and upper limit in 95%confidence level.Then use the return function Profit=1.9951-0.0001*DPPMWe estimate the profit per unit will be in the interval 1.66 and 1.58.第25页/共28页Now,we can sign the contract and it will be profit.第26页/共28页第27页/共28页感谢您的观看！第28页/共28页