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##### QSO600 module 5 problems

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Question;4. The Canine Gourmet Company produces;delicious dog treats for canines with discriminating tastes.;Management wants the box-filling line to be set so that the process aver-;age weight per packet is 45 grams. To make sure that the process is in;control, an inspector at the end of the filling line periodically selects;a random box of 10 packets and weighs each packet. When the process is in;control, the range in the weight of each sample has averaged 6 grams.;a. Design an R- and an x-chart for;this process.;b. The results from the last 5 samples of 10 packets are;Sample x R 1 44 9 2 40 2 3 46 5 4 39 8 5 48 3 Is the process in control?;Explain.;Question 5;Aspen Plastics produces plastic bottles to;customer order. The quality inspector randomly selects four bottles;from the bottle machine and measures the outside diameter of the;bottle neck, a critical quality dimension that deter- mines whether the bottle;cap will fit properly. The dimen- sions (in.) from the last six samples are;BOTTLE Sample 1234 1 0.594 0.622 0.598 0.590 2 0.587 0.611 0.597 0.613 3 0.571;0.580 0.595 0.602 4 0.610 0.615 0.585 0.578 5 0.580 0.624 0.618 0.614 6 0.585;0.593 0.607 0.569;a. Assume that only these six samples are;sufficient, and use the data to determine control limits for an R-;and an x-chart.;Question 11;Jim Outfitters makes custom fancy shirts for;cowboys. The shirts could be flawed in various ways, including flaws in the;weave or color of the fabric, loose buttons or decorations, wrong dimensions, and uneven stitches. Jim randomly;examined 10 shirts, with the following results;Shirt;Defects;1 8;2 0;3 7;4 12;5 5;6 10;7 2;8 4;9 6;10 6;a) Assuming;that 10 observations are adequate for these purposes, determine the 3-sigma;control limits for defects per shirt?;b) Suppose;that the next shirt has 13 flaws. What can you say about the process now?;Question 17;Management at Webster, in Problem 16;is now concerned as to whether caulking tubes are being properly capped. If a;significant proportion of the tubes are not being sealed, Webster is placing;its customers in a messy situation. Tubes are packaged in large boxes of 144.;Several boxes are inspected, and the following numbers of leaking tubes are;found: Sample Tubes Sample Tubes Sample Tubes 1 3 8 6 15 5 2 5 9 4 16 0 33 10 9;17 2 44 11 2 18 6 52 12 6 19 2 64 13 5 20 1 7 2 14 1 Total 72;Calculate p-chart three-sigma control limits to;assess whether the capping process is in statistical control.

Paper#60904 | Written in 18-Jul-2015

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