For a 3-sigma Xbar chart write a computer program in Matlab or VBA to calculate

Question

For a 3-sigma Xbar chart write a computer program in Matlab or VBA to calculate and plot curves for the Type II Error() on one figure and the ARL on a 2nd figure. Plot a curve for each sample size n, where n varies from 2 to 10 in steps of 2. Let the shift amount (x axis) increase from 0 to 3 in steps of 0.05. Be sure to color your plots for identification and have a Legend. After your program is executing properly, create another figure that "zooms-in" on the tail area of your ARL plots by plotting ARL from 0.5 to 2. If you are using Matlab the command axis([0.5 2 0 45]) will accomplish this. .Based on your ARL plots, do you believe the Shewhart Xbar chart is sensitive to shifts greater than 1.5? Explain

Explanation / Answer

Point(5) = {0, .4, 0, lc};
Line(5) = {4, 5};

// But Gmsh also provides tools to tranform (translate, rotate, etc.)
// elementary entities or copies of elementary entities. For example, the point
// 3 can be moved by 0.05 units to the left with:

Translate {-0.05, 0, 0} { Point{3}; }

// The resulting point can also be duplicated and translated by 0.1 along the y
// axis:

Translate {0, 0.1, 0} { Duplicata{ Point{3}; } }

// This command created a new point with an automatically assigned id. This id
// can be obtained using the graphical user interface by hovering the mouse over
// it and looking at the bottom of the graphic window: in this case, the new
// point has id "6". Point 6 can then be used to create new entities, e.g.:

Line(7) = {3, 6};
Line(8) = {6, 5};
Line Loop(10) = {5,-8,-7,3};
Plane Surface(11) = {10};

// Using the graphical user interface to obtain the ids of newly created
// entities can sometimes be cumbersome. It can then be advantageous to use the
// return value of the transformation commands directly. For example, the
// Translate command returns a list containing the ids of the translated
// entities. For example, we can translate copies of the two surfaces 6 and 11
// to the right with the following command:

my_new_surfs[] = Translate {0.12, 0, 0} { Duplicata{ Surface{1, 11}; } };

// my_new_surfs[] (note the square brackets) denotes a list, which in this case
// contains the ids of the two new surfaces (check `Tools->Message console' to
// see the message):

Printf("New surfaces '%g' and '%g'", my_new_surfs[0], my_new_surfs[1]);

// In Gmsh lists use square brackets for their definition (mylist[] = {1,2,3};)
// as well as to access their elements (myotherlist[] = {mylist[0],
// mylist[2]};). Note that list indexing starts at 0.

// Volumes are the fourth type of elementary entities in Gmsh. In the same way
// one defines line loops to build surfaces, one has to define surface loops
// (i.e. `shells') to build volumes. The following volume does not have holes
// and thus consists of a single surface loop:

Point(100) = {0., 0.3, 0.13, lc}; Point(101) = {0.08, 0.3, 0.1, lc};
Point(102) = {0.08, 0.4, 0.1, lc}; Point(103) = {0., 0.4, 0.13, lc};

Line(110) = {4, 100}; Line(111) = {3, 101};
Line(112) = {6, 102}; Line(113) = {5, 103};
Line(114) = {103, 100}; Line(115) = {100, 101};
Line(116) = {101, 102}; Line(117) = {102, 103};

Line Loop(118) = {115, -111, 3, 110}; Plane Surface(119) = {118};
Line Loop(120) = {111, 116, -112, -7}; Plane Surface(121) = {120};
Line Loop(122) = {112, 117, -113, -8}; Plane Surface(123) = {122};
Line Loop(124) = {114, -110, 5, 113}; Plane Surface(125) = {124};
Line Loop(126) = {115, 116, 117, 114}; Plane Surface(127) = {126};

Surface Loop(128) = {127, 119, 121, 123, 125, 11};

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.