Posted: November 27th, 2023

Statistics- If all sample averages on an -chart fall within the control limits

Can you provide answers for two quizzes? below is the first:QUESTION 1If all sample averages on an -chart fall within the control limits, all output will be conforming. True False4 points QUESTION 2Process control and process capability are synonymous terms. True False4 points QUESTION 3When monitoring attribute data using a p-chart, if the subgroup size is not constant, variable control limits can be established. True False4 points QUESTION 4If the mean contaminant count per squared millimeter is 5.8, then the center line for a c-chart that plots the contaminant count per squared centimeter is 580. True False4 points QUESTION 5When constructing control limits, if special causes are found, they are eliminated and the control limits recomputed because the special cause points do not represent a state of statistical control. True False4 points QUESTION 6The s-chart is used to monitor variation. True False4 points QUESTION 7An s-chart utilizes the range instead of the standard deviation utilized in R-charts. True False4 points QUESTION 8Control charts for individual variables data require calculation of a moving range. True False4 points QUESTION 9Subgroup samples should be chosen so that, if assignable causes are present, the chance of observing differences between samples is low, while the chance of observing differences within a sample is high. True False4 points QUESTION 10For variables data, sample size can be calculated by specifying the desired minimum shift in the process mean to be detected. True False4 points QUESTION 11A process is deemed “out of control” whencommon causes are present.special causes are present.data varies around the mean.defective rate is high.4 points QUESTION 12_____________ developed the first control charts.G. TaguchiWalter ShewhartW. Edwards DemingDr. Joseph Moses Juran4 points QUESTION 13A manufacturing company producing circuit boards will randomly sample 60 circuit boards per day and record the number of defects contained in each of these boards. Management wants to plot the number of defects in all the circuit boards sampled. What control chart is most appropriate?-chartp-chartnp-chartc-chart4 points QUESTION 14A delivery company defines a “defective” as a package delivered later than the promised delivery time. Management wants to monitor the proportion of packages delivered per week beyond the promised delivery time. Management is willing to sample 150 packages per week and determine which of these packages are “defective.” What control chart is most appropriate?-chartR-chartp-chartc-chart4 points QUESTION 15Determine the sample standard deviation for the following sample data: 7, 9, 2, 0, 1 and 5.3.34663.26602.99333.57774 points QUESTION 16Suppose that a substrate is built from layers so that its thickness is the sum of the thicknesses of each layer. The thickness of each layer has the following means and standard deviations. What is the probability that the substrate thickness exceeds 110 units? Layer, Mean, Standard deviation 1, 20, 4 2, 30, 8 3, 50, 100.3250.2270.4780.5364 points QUESTION 17In the application of an xbar control chart with the usual 3-sigma limits, if the subgroup sample size is increasedthe Type I errors decrease, and the Type II errors increase.the Type I errors remain the same and the Type II errors increase.the Type I errors remain the same and the Type II errors decrease.both the Type I and Type II errors decrease.4 points QUESTION 18For an xbar and R control chart use the following summary statistics: = 10.0, =2.3, and n=4 to answer the following questions.(Note: Use the above scenario and data to answer questions 18-20.)Calculate an unbiased estimate of .2.49651.1172.0392.8834 points QUESTION 19(Use scenario from question 18 above.)Calculate the upper control limit for an xbar control chart.16.913.3514.23411.6774 points QUESTION 20(Use scenario from question 18 above.)Calculate the upper control limit for an R control chart.5.2499.14614.2349.264 points QUESTION 21For an xbar and s control charts given the following summary statistics: =10.0, =2.3, and n = 4. Calculate an unbiased estimate of .2.0391.1172.4972.8834 points QUESTION 22Assume gage = 2.497. The upper specification limit USL=16 and lower specification limit LSL=4. Using k=6, what is the precision-to-tolerance (P/T) ratio?1.01950.5851.24851.44154 points QUESTION 23Twenty-five samples, of size 30 were collected and a total of 48 nonconforming items were found. The three sigma upper control limit for a p-chart is0.1980.0910.2110.8334 points QUESTION 24Given that process=4.7 and gage=3.4. What is the total standard deviation in data from this process?3.2458.15.80133.654 points QUESTION 25Given an 3-sigma xbar chart for n=4 with UCL=16 and LCL=4, the estimated process standard deviation is42168

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