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TABLE 18-9
the Manufacturer of Cat Food Constructed Control Charts

question 79

Short Answer

TABLE 18-9
The manufacturer of cat food constructed control charts and analyzed several quality characteristics. One characteristic of interest is the weight of the filled cans. The lower specification limit for weight is 2.95 pounds. The table below provides the range and mean of the weights of five cans tested every fifteen minutes during a day's production.
 Number  XBar  Range  Number  XBar  Range 13.050720.0215163.046460.07323.012280.087173.038680.069633.035580.0851183.033380.032943.010140.0674193.033220.045553.008580.0983203.050780.021563.027040.0527213.048080.039673.042680.0508223.053480.058183.010520.0791233.055160.068293.034640.0663243.034260.0325103.020340.0538253.05160.0641113.037640.0584263.055620.0809123.04090.0434273.044020.0374133.05190.0762283.064580.0284143.039940.0833293.05440.0738153.037880.0601\begin{array}{cclccc}\text { Number } & \text { XBar } & \text { Range } & \text { Number } & \text { XBar } & \text { Range } \\\hline 1 & 3.05072 & 0.0215 & 16 & 3.04646 & 0.073 \\2 & 3.01228 & 0.087 & 17 & 3.03868 & 0.0696 \\3 & 3.03558 & 0.0851 & 18 & 3.03338 & 0.0329 \\4 & 3.01014 & 0.0674 & 19 & 3.03322 & 0.0455 \\5 & 3.00858 & 0.0983 & 20 & 3.05078 & 0.0215 \\6 & 3.02704 & 0.0527 & 21 & 3.04808 & 0.0396 \\7 & 3.04268 & 0.0508 & 22 & 3.05348 & 0.0581 \\8 & 3.01052 & 0.0791 & 23 & 3.05516 & 0.0682 \\9 & 3.03464 & 0.0663 & 24 & 3.03426 & 0.0325 \\ 10 & 3.02034 & 0.0538 & 25 & 3.0516 & 0.0641 \\11 & 3.03764 & 0.0584 & 26 & 3.05562 & 0.0809 \\12 & 3.0409 & 0.0434 & 27 & 3.04402 & 0.0374 \\13 & 3.0519 & 0.0762 & 28 & 3.06458 & 0.0284 \\14 & 3.03994 & 0.0833 & 29 & 3.0544 & 0.0738 \\15 & 3.03788 & 0.0601 & & & \\\hline\end{array}



-Referring to Table 18-9, an X chart is to be used for the weight. The center line of this chart is located at .


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