Mathematics, 06.05.2020 05:23 kylieweeks052704
In the semiconductor industry, the production of microcircuits involves many steps. The wafer fabrication process typically builds these microcir- cuits on silicon wafers, and there are many micro- circuits per wafer. Each production lot consists of between 16 and 48 wafers. Some processing steps treat each wafer separately, so that the batch size for that step is one wafer. It is usually necessary to estimate several components of variation: within- wafer, between-wafer, between-lot, and the total variation.
(a) Suppose that one wafer is randomly selected from each lot and that a single measurement on a critical dimension of interest is taken. Which components of variation could be estimated with these data? What type of control charts would you recommend?
(b) Suppose that each wafer is tested at five fixed locations (say, the center and four points at the circumference). The average and range of these within-wafer measurements are xww and Rww, respectively. What components of variability are estimated using control charts based on these data?
(c) Suppose that one measurement point on each wafer is selected and that this measurement is recorded for five consecutive wafers. The average and range of these between-wafer measure- ments are xBW and RBW, respectively. What com- ponents of variability are estimated using control charts based on these data? Would it be neces- sary to run separate x and R charts for all five locations on the wafer?
(d) Consider the question in part (c). How would your answer change if the test sites on each wafer were randomly selected and varied from wafer to wafer?
(e) What type of control charts and rational subgroup
scheme would you recommend to control
the batch-to-batch variability?
Answers: 2
Mathematics, 21.06.2019 17:20
Which functions shave a maximum and are transformed to the left and down of the parent function ,check all that apply f(x) = x2? p(x) =14 (x+7)2 + 1
Answers: 3
Mathematics, 21.06.2019 22:30
Write the equation of a line that is perpendicular to the given line and that passes through the given point. โ3x โ 6y = 17; (6, 3) y = x โ 9 y = 2x โ 9 y = โ2x โ 9 y = x + 0 3. is the relationship shown by the data linear? if so, model the data with an equation. x y 1 5 5 10 9 15 13 20 the relationship is linear; y โ 5 = (x โ 1). the relationship is not linear. the relationship is linear; y โ 5 = (x โ 1). the relationship is linear; y โ 1 = (x โ 5). write an equation in point-slope form for the line through the given point with the given slope. (โ10, โ1); m = y + 10 = (x + 1) y โ 1 = (x โ 10) y โ 1 = (x + 10) y + 1 = (x + 10) 5. write an equation for each translation of . 6.5 units up y + 6.5 = | x | y = | 6.5 x | y = | x | + 6.5 y = | x | โ 6.5 6. write an equation for each translation of . 5.5 units right y = | x | + 5.5 y = | x โ 5.5 | y = | x | โ 5.5 y = | x + 5.5 | 7. which equation translates y = | x | by 8 units to the left? y = | x | โ 8 y = | x | + 8 y = | x โ 8| y = | x + 8|
Answers: 1
Mathematics, 21.06.2019 23:00
Graph the system of equations on your graph paper to answer the question. {y=โx+4y=xโ2 what is the solution for the system of equations? enter your answer in the boxes.
Answers: 1
Mathematics, 21.06.2019 23:30
The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.
Answers: 3
In the semiconductor industry, the production of microcircuits involves many steps. The wafer fabric...
Biology, 26.02.2021 09:40
English, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40
English, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40
Biology, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40
Chemistry, 26.02.2021 09:40
History, 26.02.2021 09:40
Mathematics, 26.02.2021 09:40