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Problem 10-25 Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to
b. Determine X and R. (Round your answers to 3 decimal places.) R c. Determine the UCL and LCL for a Xchart. (Round your answ
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Answer #1

A B с D E Ti G H K 1 2 3 X_double-bar =AVERAGE(G3:17) R-bar =AVERAGE(H3:H17) 3 1 4 5 3 Sample size, n 4 A2 0.73 6 7 D3 0 8 D4

(a)

Sample No. x1 x2 x3 x4 Mean Range
1 972 990 997 1000 989.75 28
2 994 1005 996 994 997.25 11
3 1029 1022 1028 972 1012.75 57
4 994 1025 999 994 1003.00 31
5 1004 993 1009 1016 1005.50 23
6 986 973 1003 987 987.25 30
7 982 977 988 998 986.25 21
8 985 982 1021 1013 1000.25 39
9 1027 1010 1003 989 1007.25 38
10 1028 997 1002 978 1001.25 50
11 1013 1029 1011 999 1013.00 30
12 975 1029 1026 979 1002.25 54
13 985 1003 987 980 988.75 23
14 1022 986 1028 983 1004.75 45
15 998 1023 1027 1021 1017.25 29

(b)

X_double-bar 1001.100
R-bar 33.933

(c)

UCL_X 1025.871
LCL_X 976.329

(d)

UCL_R 77.368
LCL_R 0

(e)

The process is in statistical control for al the sample Mean and Ranges are within their respective [LCL, UCL] ranges.

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