Control charts for X-bar and R are maintained for the tensile strength of fibers used in composite materials. The specifications are 440±40. After 36 samples of size n=7 are analyzed, we find that: 36 36 X¡ = 12,870 R¡ = 1,350 i=1 i=1 What are the limits of the X-bar chart? O UCL=442.86 and LCL=415.14 O UCL=531.43 and LCL=498.17 UCL=415.18 and LCL=389.19 UCL=373.21 and LCL=341.79 UCL=335.89 and LCL=307.61

Refer to Table 56.1-Factors for Computing Control Chart Limits.(3.sigma) for this problem. Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: a) What is the value of x? mm (round your response to two decimal places). b) What is the value of R? R=mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Day 1 2 3 4 5 Upper Control Limit (UCL;)mm (round your response to two decimal places) Lower Control Limit (LCL;)mm (round your response to two decimal places). d) What are the UCL and LCL using 3-sigma? Upper Control Limit (UCLR)-mm (round your response to two decimal places). Lower Control Limit (LCL)-mm (round your response to two decimal places) Mean x (mm) 154.9 151.2 155.6 155.5 154.6 Range R (mm) 4.4 4.8 4.3 5.0 4.7 Next

In a research on weight of cereal dispersed into a box of cereal, a company collected m=12 sets of inside ring diameter samples with a subgroup size of n=6 , the grand mean =17.8 ounces and the average range =1.02 ounces. Determine the upper control limit for an R chart. Enter your answer to 2 decimal places.

A producer of windshields decides to monitor the material handling system used in the plant. The producer is concerned about if there are scratches that are appearing on their finished product. The best kind of control chart to use in this case is a: r chart b: x chart c: cpk chart d: P chart

The smallest defect in a computer chip will render the entire chip worthless. Therefore, tight quality control measures must be established to monitor these chips. In the past, the percent defective at Chieh Lee's Computer Chips has been 1.5%. The sample size is 1,000. Determine upper and lower control chart limits for these computer chips. Use z = 3. Upper Control Limit (UCL) = (round your response to four decimal places). Lower Control Limit (LCLp) = (round your response to four decimal places).

54 Boxes of Honey-Nut Oatmeal are produced to contain 14.0 ounces, with a standard deviation of 0.20 ounce. For a sample size of 64, the 3-sigma X chart control limits are: Upper Control Limit (UCL) = ounces (round your response to two decimal places).

An Xbar control chart designed with L=3 and sample size n=4 has control limits UCL=342.05 and LCL=317.95. If the mean shifts to mu1=335 beta is found to be 0.9603. What would be the ARL1 after the mean shifts to mu1? 4.2 10.06 2.03 not enough information 25.22

Can you verify these answers please.

A control chart for fraction nonconforming is to be established using a center line of p=0.03. What sample size is required if we wish to detect a shift in the process fraction nonconforming to 0.08 with probability 0.50? 1269 475 73 316 216 2 105 150 265

concernedas to whether caulking tubes are being properly capped. Ifa significant proportion of the tubes are not being sealed,Webster is placing its customers in a messy situation.Tubes are packaged in large boxes of 144. Several boxes areinspected, and the following numbers of leaking tubes arefound: Calculate p-chart three-sigma control limits to assesswhether the capping process is in statistical control.