Control charts for X and R are maintained on the shear strength in pounds of test spot welds. The subgroup size is 3. The values of X and R are computed for each subgroup. After 30 subgroups, X = 11,346 and ER = 873. (20 points) (X and R charts) A) compute the value of the 3-sigma (30) for the X and R charts and estimate the value of a on the assumption that the process is in statistical control. B) The specified strength for a weld is 529 lb. If the process is in statistical control and normally distributed, what can you conclude regarding its ability to meet this specification?

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step-by-step explanation:

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.