




Step 3: Monitoring the process 5. The following two samples were collected this morning. The parts...
Step 3: Monitoring the process 5. Subsequently, samples of 4 bottles were taken from filling line. The fillings and the following results were obtained. Use these data to check for process control. Is the process in control? Why? were measured Hypothesis conclusions Decision Units Sample stats Sample 1 2 3 4 Decision Decision about X-bar about the about R chart chart (in control or process out of control)(in control or out of control) (in control or out of control) R...
Twelve samples, each containing five parts, were taken from a process that produces steel rods at Emmanual Kodzi's factory. The length of each rod in the samples was determined. The results were tabulated and sample means and ranges were computed. The results were: SAMPLE SAMPLE MEAN (IN.) RANGE (IN.) SAMPLE SAMPLE MEAN (IN.) RANGE (IN.) 1 9.104 0.044 7 9.103 0.021 2 9.100 0.051 8 9.103 0.058 3 9.089 0.042 9 9.097 0.039 4 9.108 0.037 10 9.103 0.038 5...
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The deflection temperature under load for two different types of plastic pipe is being investigated. Two random samples of 15 pipe specimens are tested, and the deflection temperatures observed are as follows (in °F): Type 1 213 195 212 194 201 200 214 192 196 220 199 217 201 185 212 Type 2 185 205 214 209 188 184 193 208 205...
A control chart is used for monitoring a process mean ( 7 ) that is normally distributed with a mean of u and a standard deviation of o, and the sample size is n = 5. A 3-sigma limit (u +30z) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is...
A control chart is used for monitoring a process meanl (X) that is normally distributed with a mean of μ and a standard deviation of σχ , and the sample size is n-5. А 3-sigma limit (μ ±30% ) is used as control limits. Two decision rules are given here. Rule 1: If one or more of the next seven samples yield values of the sample average that fall outside the control limits, conclude that the process is out of...
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: Sample n number of defective items in the sample 1 15 1 2 15 1 3 15 1 4 15 0 5 15 2 6 15 3 7 15 1 8 15 0 9 15 2 10 15 1 a. Determine the p, Sp, UCL and LCL...
From a process known to be in control, 6 samples of 4 units each were taken at random intervals and the units in the samples were weighed. The mean (Xbar) and range (R) for each of the six samples are given in the following table. Sample Mean Range 1 5.2 0.7 2 4.6 1.1 3 4.1 1.2 4 4.7 1.1 5 4.6 0.8 6 4.4 0.9 a. Calculate the 3-sigma Xbar-chart and R-chart control limits. b. Calculate the mean (Xbar)...
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 3 2 15 2 3 15 2 4 15 2 5 15 0 6 15 2 7 15 1 8 15 3 9 15 2 10 15 1 a. Determine the p−p−, Sp, UCL and LCL...
Problem 13-7 Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 1 2 15 0 3 15 0 4 15 0 5 15 2 6 15 0 7 15 3 8 15 1 9 15 0 10 15 3 a. Determine the p− , Sp,...
Ten samples of 15 parts each were taken from an ongoing process to establish a p-chart for control. The samples and the number of defectives in each are shown in the following table: SAMPLE n NUMBER OF DEFECTIVE ITEMS IN THE SAMPLE 1 15 2 2 15 0 3 15 3 4 15 3 5 15 3 6 15 1 7 15 3 8 15 2 9 15 0 10 15 3 a. Determine the p−p−, Sp, UCL and LCL...