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Stat question, and sampling

Six Sigma – iSixSigma Forums Old Forums General Stat question, and sampling

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  • #50300

    WayneJ
    Member

    IΒ’m hoping someone smarter than me in stats can help me with this.Our company has a device that will measure 100% of the product real time. The measure of interest is a maximum requirement. The 100% measuring equipment can record the individual max data points for the lot. Our customer does not have this equipment but does have a similar method of measurement, and samples 7 units from each lot. They have agreed that our company can use our 100% inspection device to accept product, but they will also perform receiving inspection for the time being. What worries me is the high sampling error associated with such a small sample. Our customer will sample 7 units, estimate a mean and standard deviation and look at the 3 sigma distribution.How can we determine acceptability based on the customers sample distribution?Can we compare the two distributions and determine if the sample mean could be from the population? We are both looking for a solution for this.

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    #172864

    Ron
    Member

    Only review your customers Pp and Ppk data

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    #172869

    WayneJ
    Member

    Ron,Thanks for the response, but what is your reasoning?

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    #172875

    Szentannai
    Member

    Hi Waynej,
    why don’t you just calculate the confidence intervals for the measurements of your client?Your value should be inside their interval in about 95% of the cases. If this is true the two measurements are consistent. Of course the confidence interval will probably be quite large with only 7 data points :)Regards
    Sandor

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    #172882

    Long
    Member

    Plot the customerΒ’s data on a X-bar & R chart. Β You need 25 samples to start the chart. The average of the chart should be very close to your data. Β The control limits should be close to your +/- 3 sigma.

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    #172942

    Kannan
    Participant

    Waynej, what is the rational behind 7 samples that they pick up from each lot. You have all the reason to be worried. If your customer understands statistical concepts then you will have to face less challenge.Β Your curve and customer’s curve would be very close to each other in a long run. Even for it to be so, right sampling at 95%Β significance level would be a bare minimum.Β 

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    #172958

    WayneJ
    Member

    No idea why they picked 7 as a sample size. But, I had a meeting with them today and they agreed to accept our 100% data and statistically compare their small sample, until they gain more confidence in our method.It was a good day.

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