The viscosity of a chemical product is read every two minutes. Some data from this process are shown in Table 10E.11 (read down, then across from left to right). (a) Is there a serious problem with...

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The viscosity of a chemical product is read every two minutes. Some data from this process are shown in Table 10E.11 (read down, then across from left to right).


(a) Is there a serious problem with autocorrelation in these data?


(b) Set up a control chart for individuals with a moving range used to estimate process variability. What conclusion can you draw from this chart?


(c) Design a cusum control scheme for this process, assuming that the observations are uncorrelated. How does the cusum perform?


(d) Set up an EWMA control chart with λ = 0.15 for the process. How does this chart perform?


(e) Set up a moving center line EWMA scheme for these data.


(f) Suppose that a reasonable model for the viscosity data is an AR (2) model. How could this model be used to assist in the development of a statistical process-control procedure for viscosity? Set up an appropriate control chart and use it to assess the current state of statistical control.



































































































































































TABLE 1 0 E .11



Chemical Product Viscosity



29.330



33.220



27.990



24.280



19.980



30.150



24.130



22.690



25.760



27.080



29.200



26.600



29.000



33.660



34.300



28.860



31.030



36.580



26.410



28.270



32.680



29.040



28.780



28.170



33.560



28.080



21.280



28.580



27.500



30.280



21.710



30.760



26.750



29.350



21.470



30.620



30.550



33.600



24.710



20.840



28.940



30.290



33.610



16.560



28.500



20.110



36.540



25.230



28.190



17.510



35.700



31.790



26.130



23.710



33.680



32.520



27.790



24.220



29.290



30.280



27.630



32.430



25.120



26.140



29.890



32.440



27.230



19.030



28.180



29.390



30.610



24.340



26.650



23.450



29.060



31.530



30.010



23.620



28.480



31.950



30.800



28.120



32.010



31.680



30.450



29.940



31.890



29.100



36.610



30.560



31.720



23.150



31.400



32.300



29.090



26.740



30.830



31.580



31.920



32.440


Answered Same DayDec 24, 2021

Answer To: The viscosity of a chemical product is read every two minutes. Some data from this process are shown...

Robert answered on Dec 24 2021
117 Votes
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