The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.146 minutes. The means (in minutes) of 39 samples of n = 6 are: sample mean sample mean sample mean 1 3.86 14 3.81 27 3.81 2 3.90 15 3.83 28 3.86 3 3.83 16 3.86 29 3.98 4 3.81 17 3.82 30 3.96 5 3.84 18 3.86 31 3.88 6 3.83 19 3.84 32 3.76 7 3.87 20 3.87 33 3.83 8 3.88 21 3.84 34 3.77 9 3.84 22 3.82 35 3.86 10 3.80 23 3.89 36 3.80 11 3.88 24 3.86 37 3.84 12 3.86 25 3.88 38 3.79 13 3.88 26 3.90 39 3.85   the averagee of the 39-sample means is equal to 3.85. construct an xbar-chart for this process with two-sigma limits. Is the process in control?

Suppose a manufacturing process produces small metal rods. The desired length of these rods is 50 cm. Quality control personnel take samples of 5 rods every hour and measure their lengths. After 8 hours, they have the following data for the average lengths (in cm) of the 8 samples: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Average Length (X-bar): 49.8, 50.2, 50.1, 49.9, 50.3, 50.1, 49.7, 50.0 Additionally, the standard deviation (s) for each sample is provided: Hour (h): 1, 2, 3, 4, 5, 6, 7, 8Standard Deviation (s): 0.1, 0.12, 0.11, 0.1, 0.12, 0.11, 0.09, 0.1 Based on the given data, is the process under control?

At Webster Chemical Company, lumps in the caulking compound could cause difficulties in dispensing a smooth bead from the tube. Even when the process is in control, an average of four lumps per tube of caulk will remain. Testing for the presence of lumps destroys the product, so an analyst takes random samples. The following results are obtained: Tube No. Lumps Tube No. Lumps Tube No. Lumps 1 6 5 6 9 5 2 5 6 4 10 0 3 0 7 1 11 9 4 4 8 6 12 2 Determine the c-chart two-sigma upper and lower control limits for this process. Is the process in statistical control?

T = -25°C A 0.5 m × 1 m double paned window is made of two silica glass panes 1 cm thick, with air in between. Under steady conditions, linear (constant gradient) Outdoors temperature profiles are found in both silica panes, as well as the air. If the room (and the inner surface of h=18Wm²K the inner glass pane) is at a temperature of 25°C, while outdoors it is -25°C with a convection coefficient of 18 W m² K-1, what is the rate of heat loss through the window? What is the rate of heat loss if the room temperature is decreased to 20°C? Finally, what is the rate of heat loss for a room temperature of 25°C, but with one of the panes (and the air) removed? 1 cm 1 cm Room Temperature, 25° C or 20º C 0.5 mm Air, k=0.024 W m¹ K¹ Silica glass, k = 0.90 W m³ K

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 9.402 0.033 7 9.401 0.041 2 9.404 0.041 8 9.407 0.034 3 9.391 0.034 9 9.393 0.027 4 9.406 0.051 10 9.401 0.029 5 9.397 0.031 11 9.403 0.039 6 9.399 0.036 12 9.404 0.047 Part 2 For the given​ data, the x ​= enter your response here inches ​(round your response to four decimal​ places).

4. For a certain drilling machine of the Putnam Manufacturing Company, control limits foran x−Chart have been determined as: UCLx = 86.8 and LCLx = 83.3 (a) Sample averages for the most recent six samples, in sequential order, are 83.2, 83.9,84.7, 85.4, 85.9, and 86.7. What should be concluded about the process average?Should some action be taken? Why or why not? (b) What would you conclude (and why) about the process average if the sample averagesfor the most recent six samples, in sequential order, were 85.6, 84.9, 86.2, 85.2, 85.5,and 85.1?

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? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R 4.48 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) = 156.94 mm (round your response to two decimal places). Lower Control Limit (LCL-) = 154.18 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCL) = 7.96 mm (round your response to two decimal places). Mean x (mm) 154.9 153.2 155.6 155.5 158.6 Range R (mm) 4.0 4.8 3.9 5.0 4.7 Lower Control Limit (LCL) = 1.00 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want…

Help please A2 is 0.557 D3 is 0 2.115

The Awake Coffee Company produces gourmet instantcoff ee. Th e company wants to be sure that the average fi ll of coff eecontainers is 12.0 ounces. To make sure the process is in control,a worker periodically selects at random a box of six containers ofcoff ee and measures their weight. When the process is in control,the range of the weight of coff ee samples averages 0.6 ounces.(a) Develop an R-chart and an x-chart for this process.(b) Th e measurements of weight from the last five samplestaken of the six containers follow Is the process in control? Explain your answer.

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 10.802 0.044 7 10.803 0.021 2 10.800 0.051 8 10.807 0.058 3 10.791 0.042 9 10.793 0.039 4 10.808 0.037 10 10.803 0.038 5 10.797 0.048 11 10.803 0.054 6 10.801 0.053 12 10.806 0.061 Part 2 For the given​ data, the x ​= enter your response here inches ​(round your response to four decimal​ places).