a.
As, all data points in the p-chart lies between LCL and UCL, the process appear to be in a state of statistical control.
b.
LCL =
where m is a multiplier (usually set to 3)
For a positive control limit,
LCL = > 0
The sample size needed for a positive control limit is 531.
Consider the p chart below. Note that LCL 0, CLp0.01667, and UCL 0.04802 Does the process...
A company that makes car parts. The company control its production process by periodically taking a sample of 100 units from the production line. Each product is inspected for defective features. Control limits are developed using three standard deviations from the mean as the limit. During the last 12 samples taken, the proportion of defective items per sample was recorded as follows: 0.01 0.01 0.0 0.04 0.01 0.01 0.00 0.01 0.02 0.02 0.03 0.03 a. Determine the mean proportion defective,...
Control A speaker manufacturer molds kevlar woofer surro surrounds are randomly sampled each five minutes, measured, and the average and range for each unds for use in 6.5 woofers. Samples of 7 woofer sample is computed. The following data represent the summary statistics for the most recent 14 Sample Mean 6.49* 6.47 6.49 6.51 6.50 6.46 6.47 6.52 6.51 6.48 6.49 6.50 6.52 6.46 Range 0.05. 0.03 0.07 0.02 0.06 0.08 0.03 0.04 0.07 0.03 0.05 0.03* 0.04 2 6...
A speaker manufacturer molds Kevlar woofer surrounds for use in 6.5” woofers. Samples of 7 woofer surrounds are randomly sampled each five minutes, measured, and the average and range for each sample is computed. The following data represent the summary statistics for the most recent 14 samples. Sample Mean Range 1 6.49” 0.05” 2 6.47” 0.03” 3 6.49” 0.07” 4 6.51” 0.02” 5 6.50” 0.06” 6 6.46” 0.08” 7 6.47” 0.03” 8 6.52” 0.04”...
I will rate 2. A process has a X-bar control chart with UCL-17.4. LCL-12.79 using a 3-sigma limit. The subgroup sample size is 3. (a) Estimate the standard deviation of the process, sigma hat. (6 pts) (b) Suppose that the process mean shifts to 13. Find the probability that this shift will be detected on the next sample. (8 pts) (c) Calculate the average run length (ARL) before detecting the shift. (6 pts)
2. A process has a X-bar control chart with UCL=17.4, LCL=12.79 using a 3- sigma limit. The subgroup sample size is 3. (a) Estimate the standard deviation of the process, sigma hat. (6 pts) (b) Suppose that the process mean shifts to 13. Find the probability that this shift will be detected on the next sample. (8 pts) (c) Calculate the average run length (ARL) before detecting the shift. (6 pts)
Please solve and explain steps thanks A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: The data has been given so that it can be copied into R as a vecto. #### non.conforming = c(11, 21, 27, 16, 35, 17, 4, 22, 9, 22, 30, 18, 15, 21, 20, 19, 12, 23, 11, 22, 15, 16, 12, 26, 28, 14, 11, 17,...
Use the given process data to construct a control chart for p. If the weight of cereal in a particular packet is less than 14 ounces, the packet is considered nonconforming. Each week, the manufacturer randomly selects 1,000 cereal packets and determines the number that are nonconforming. The results for 12 consecutive weeks are shown below. 46 32 21 30 47 31 32 52 48 45 62 58 Select the correct lower control limit. LCL = 0.0230 LCL = 0.0000...
Product filling weights are normally distributed with a mean of 365 grams and a standard deviation of 19 grams. a. Compute the chart upper control limit and lower control limit for this process if samples of size 10, 20 and 30 are used (to 2 decimals). Use Table 19.3. For samples of size 10 UCL =| LCL For a sample size of 20 UCL = LCL For a sample size of 30 UCL = LCL = b. What happens to...
Lee is a cadet at the Honolulu Police Academy. He was asked to make a P-Chart for reported (minor) property crimes. Lee chose a small neighborhood with 481 families. Each family is viewed as a binomial trial. Success means that the family was the victim of at least one minor property crime in the past 3 months. Police reports gave the following data for the past 12 quarters (4 years). Assume the 481 families lived in the neighborhood all 4...
Part 3 [35 Marks 3- The number of nonconforming switches in samples of size 75 are shown in Table 3. [20 Marks] Table 3 Number of Nonconforming Assemblies Number of Sample Nonconforming Number Sample Number Assemblies 6 7 11 1 15 12 2 0 13 1 3 9 14 3 4 5 15 6 5 1 16 8 4 17 10 7 5 18 5 7 19 2 9 12 20 7 10 (a) Construct a fraction nonconforming control chart...