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- Five data entry operators work at the data process-ing department of the Birmingham Bank. Each day for 30 days, the number of defective records in a sample of 250 records typedby these operators has been noted, as follows: a) Establish 3s upper and lower control limits.b) Why can the lower control limit not be a negative number? c) The industry standards for the upper and lower control lim-its are 0.10 and 0.01, respectively. What does this imply about Birmingham Bank’s own standards?7. The school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 48 B 21 C 32 D 40 E 52 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: _____ Part 2 UCLc= _______ (round your response to two decimal places). LCLc= _______ (round your response to two decimal places). What does the chart tell you? Has the new math program been effective?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 Ri = 1,350 i=1 What are the limits of the X-bar chart? UCL=442.86 and LCL=415.14 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 S6.1-Factors for Computing Control Chart Limits (3 sigma) for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 54.75 lb.; Average range R = 1.54 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCL) = lb. (round your response to three decimal places).Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 60.75 lb.; Average range R = 1.64 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Upper Control Limit (UCLx) = nothing lb. (round your response to three decimal places).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 25 samples of size n=10 are analyzed, we find that: 25 25 X¡ = 12,870 Ri = 1,350 i=1 What are the limits of the R chart? UCL=65.54 and LCL=2.56 UCL=74.97 and LCL=9.41 UCL=79.96 and LCL=10.03 UCL=95.96 and LCL=12.04 UCL=72.82 and LCL=2.85
- Management at Webster Chemical Company is concerned as to whether caulking tubes are being properly capped. If a 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 135. Several boxes are inspected, and the following numbers of leaking tubes are found: View an example Sample 1 2 3 Get more help. 4 Tubes 7 7 8 5 1 5 6 7 Calculate p-chart three-sigma control limits to assess whether the capping process is in statistical control. The UCL, equals 1 Sample 8 8 9 10 11 12 13 14 Tubes 7 2 4 8 6 9 MacBook Pro 3 Sample 15 16 17 18 19 20 Total Tubes 8 3 3 5 and the LCL equals (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) 3 6 104 Clear all Check answer OThe school board is trying to evaluate a new math program introduced to second-graders in five elementary schools across the county this year. A sample of the student scores on standardized math tests in each elementary school yielded the following data: School No. of Test Errors A 75 B 38 C 42 D 47 E 61 For the test errors, the c-chart with control limits that contain 99.73% of the random variation in test scores is: Part 2 UCLc = enter your response here errors (round your response to two decimal places). b) Has the process been in control? c) If the sample size were 20 instead, how would your limits and conclusions change? UCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places). LCLp= ________(enter your response as a number between 0 and 1, rounded to three decimal places).3. Refer to Table S6.1 - Factors for Computing Control Chart Limits (3 sigma) LOADING... for this problem. Thirty-five samples of size 7 each were taken from a fertilizer-bag-filling machine at Panos Kouvelis Lifelong Lawn Ltd. The results were: Overall mean = 57.75 lb.; Average range R = 1.54 lb. a) For the given sample size, the control limits for 3-sigma x chart are: Part 2 Upper Control Limit (UCLx) = _______ lb. (round your response to three decimal places). Lower Control Limit (LCLx) = _______ lb. (round your response to three decimal places). B. the control limits for 3-sigma r chart are: Upper Control Limit (UCLr)= _______ lb. (round your response to three decimal places). Lower Control Limit(LCLr)= _______ lb. (round your response to three decimal places).
- A quality analyst wants to construct a sample mean chart for controlling a packaging process. Each day last week, he randomly selected four packages and weighed each. The raw data (in ounces) from that quality control activity appear below. Weight Day Package 1 Package 2 Package 3 Package 4 Monday 23 22 23 24 Tuesday 23 21 19 21 Wednesday 20 19 20 21 Thursday 18 19 20 19 Friday 18 20 22 20 What is the mean of all sample means?Over a period of 12 consecutive production hours, samples of size 50 resulted in the following proportions of defective items: (given) a. What are the three-sigma control limits for this process?b. Do any of the sample points fall outside of the control limits?c. The company claims a defect rate of 3 percent for these items. Are the observed proportions consistent with a target value of 3 percent defectives? What difficulty would arise if the control limits were based on a target value of 0.03? In view of the company’s claims, what difficulty would arise if the control limits computed in part (a) were used?An ?̅ control chart with 3-sigma control limits and subgroup size n = 4 hascontrol limits UCL = 48.75 and LCL = 40.55. Estimate the process standard deviation.