A Quality Analyst wants to construct a control chart for determining whether three machines, all producing the same product, are under control with regard to a particular quality variable. Accordingly, he sampled four units of output from each machine, with the following results : Machine #1 measurements [17, 12, 21, 12]; Machine #2 measurements [ 14, 22, 16, 13]; Machine #3 measurements [ 13, 19, 14, 23]. Using the factors for three sigma control limits, what are x-bar chart upper and lower control limits? O a. 23.15and 9.52 O b. 44.33and -11.67 O c. 25.85and 6.813 O d. 18.85and 13.81

At Gleditsia Triacanthos Company, a certain manufactured part is deemed acceptable if its length is between 12.45 to 12.55 inches. The process is normally distributed with an average of 12.49 inches and a standard deviation of 0.014 inches. a) is the process capable of meeting specifications? b) Does the process meet specifications?

Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem.   Sampling 4 pieces of​ precision-cut wire​ (to be used in computer​ assembly) every hour for the past 24 hours has produced the following​ results:                                                                                                                                                           Hour x R Hour x R Hour x R Hour x R 1 3.15​" 0.65​" 7 3.15​" 0.58​" 13 3.11​" 0.85​" 19 4.51​" 1.66​" 2 3.00 1.23 8 2.65 1.13 14 2.93 1.31 20 2.89 1.04 3 3.22 1.43 9 3.02 0.66 15 3.22 1.11 21 2.55 1.08 4 3.39 1.21 10 2.85 1.28 16 2.84 0.55 22 3.28 0.41 5 3.07 1.12 11 2.73 1.12 17 2.96 1.43 23 2.84 1.63 6 2.76 0.42 12 3.07 0.45 18 2.84 1.34 24 2.64 0.92   Based on the sampling​ done,…

C-Spec, Incorporated is attempting to determine whether an existing machine is capable of milling an engine part that has a key specification of 4 ± 0.003 inch. After a trial run on this machine, C-Spec has determined that the machine has a sample mean of 4.001 inches with a standard deviation of 0.002 inch. Calculate the capability index ( Cpk��� ) for this machine. Note: Round your answer to 3 decimal places.   Should C-Spec use this machine to produce this part? multiple choice Yes No

Mrs. Crabapple has a class with three students, and she has had four quizzes so far this semester. She has created control charts to determine if the variation in students' scores from quiz to quiz is exhibiting only natural variation. Each of the quiz scores are shown below. The upper and lower control limits for the x-bar chart are 109.6 and 34.9, respectively. The upper and lower control limits for the R chart are 93.95 and 0, respectively. Quiz Bart Lisa Nelson 1 75 100 50 2 62 82 72 3 90 90 90 4 60 86 10 Is the process in control? O A. Yes OB. No

I need help with this practice problem for review

2) The specification for a Lindemann’s stainless steel chimney liner requires a thickness of 7.1 mm ± 0.1 mm. The firm’s quality analyst determines that the liner process operates at a mean thickness of 7.13 mm with the standard deviation of the process being 0.02 mm.   a) Calculate the upper and the lower limits for the stainless steel chimney liner. b) Calculate the Cpand Cpkfor this process.   Hint: Cp = (Upper Specification Limit – Lower Specification Limit)/6sigma Cpk = minimum of [(Upper Specification Limit – Xbar)/3sigma], [(Xbar – Lower Specification Limit)/3sigma]

A process that produces computer chips has a mean of .04 defective chips and a standard deviation of .003 chips. The allowable variation is from .031 to .049 defective. a.Compute the capability index (C,) for the process. (Round your intermediate calculations to 3 decimal places and final answer to 2 decimal places.) Capability index

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 9.602 0.033 7 9.603 0.041 2 9.602 0.041 8 9.605 0.034 3 9.593 0.034 9 9.597 0.027 4 9.606 0.051 10 9.601 0.029 5 9.599 0.031 11 9.603 0.039 6 9.599 0.036 12 9.606 0.047 Part 2 For the given​ data, the x double overbarx ​= 9.6013 inches ​(round your response to four decimal​ places). Part 3 Based on the sampling​ done, the control limits for ​3-sigma x overbarx chart​ are:   Upper Control Limit ​(UCL Subscript x…

An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine?   a. More than 0.5 but less than or equal to 1.0   b. More than 1.0   c. Less than or equal to 0.1   d. More than 0.1 but less than or equal to 0.5