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TABLE 18-9
the Manufacturer of Cat Food Constructed

question 84

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, estimate the percentage of the cans whose weight is inside the specification limits.

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Definitions:

Right Documentation

The accurate and appropriate recording of information or data.

Narcotic

A drug that induces drowsiness, relieves pain, and may alter mood or behavior; often subject to abuse and addiction.

Ointment

A smooth, thick substance applied to the skin for a therapeutic reason or to protect, moisturize, or heal.

Right Documentation

Accurate and thorough documentation that is essential in healthcare and other fields to ensure information is correctly recorded and communicated.

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