Question

step 2-what is the upper control limit? round to three decimal places

step 3- what is the lower control limit? round to three decimal places

step 4- use the following sample data, taken from the next time period, to deteemine if the process “in control” or “out of control”

observations:12.99,12.98,13.04,13.04,12.98

sample mean: 13.006

step 5:use the following sample data, taken from the next time period, to deteemine if the process “in control” or “out of control”

observations: 13,12.98,12.97,12.95,13.04

sample mean: 12.988

step 6:use the following sample data, taken from the next time period, to deteemine if the process “in control” or “out of control”

observations: 13.07,13.05,13.08,12.99,13.09

sample mean:13.056

step 7: based on the control limits established what is the probability that the production manager will conclude that the process is “out of control” when the process is actually “in control” round your answer to three decimal places

To determine if their 13 oz filling machine is properly adjusted, Berkeley Soft Drinks has decided to use an 3-Chart which uses the range to estimate the variability in the sample Table Control Chart Copy Table Step 1 of 7: What is the Center Line of the control chart? Round your answer to three decimal places e Keypad Answer(How to Enter) 1 Point Next Prev 13.14 13.10 Period obst obs2 obs3 obs4 obss Sample Mean Sample Range 1259 1258 13165 1296 13.03 13002 21296 1305 13.01 12.99 13.03 13,.00800.09 1304 1302 12.98 13.00 12.95 12.99800.09 1302 1305 1 S 1302 1305 13.01 1300 13.04 130240 1304 12.98 12.97 13.01 13.3 13.0080 0. 13.01 12.95 13.00 13.01 13.01 12.990 13.01 1297 12.57 12.99 13.01-12.990 303 13.01 12.98 13.00 13.01400 0.0 1298 13.00 12.96 13.01 13.02 13.01 130000 0 12.9713.02 12.98 13.04 13.01 13.0040 0.0 11 12.96 13.05 12.99 12.95 1299 12.9880 0.1 2 12.97 13.00 13.02 13.01 12.95 12:9900 0.0 3 13.03 12.98 13.03 12.97 13.04 13.0100 Sample Number

Answer 1

13 13 From the given inform ati on, k 13,2X, 169.03, and R 0.88 13 13 7-ы--13, 0023,R>--0.0677 From tables A2 0.577,d 2.326, D 0, and D, -2.114 for n-5 The control limits for X-bar chart: (1) CL-X-13.002 (2)UCL-X+AR-13.0023+0.577 (0.0677) 13.0414 13.041 (3) LCL-X-AR 13.0023-0.577 (0.0677) 12.9632-12.963 (4) CL-/-13.0026-13.003 UCL=X+4R= 13. 0026 +0.577(0.0671)= 13.04 13-13, 041 LCL = X-AR = 13. 0026-0. 577 (0.0671) = 12.9639-12.964 The process is under control, since all the sample points lies within the control limits (5) CL- 13.0016 13.002 UCL=I+AR= 13.00 1 6 +0.577006871-13.0412-13.041 LCL- X- AR - 13.0016-0.577 (0.0687 12.962 The process is under control, since all the sample points lies within the control limits (6)CL-X 13.005 UCL X+AR 13005+0.577 (0 0706) 130457 13.046 LCL-1-4R-13.005-0.577 (0.0706) = 12.964 The process is out of control, since all the sample one point lies above UCL