A large bank established X-Bar and R charts for the time required to process applications for...

A large bank established X-Bar and R charts for the time required to process applications for its charge cards. A sample of five applications is taken each day. The first four weeks (20 days) of data give:
X bar bar = 16 min s bar = 3 min R bar = 7 min
Based on the values given, calculate the centerline and control limits for the X bar and R charts.

Solutions

Expert Solution

For the given problem sample size is 5 tht is less than 10 .For n<10 we estimate the standard deviation by mean range .for greater sample size we take in account s mean .

So x bar bar and R bar limits can be calculated by general formula and using control limit factor for given sample size

X bar chart

Center line= x_bar_bar=16min

UCL=Xbar_bar+A2 R_bar

LCL=Xbar_bar-A2 R_bar

Where A2 is contol limit factor

For n=5 A2=0.577

So UCL=20.039

LCL=11.961

Please give feedback and comment any doubt

R_bar Chart

Centerline = R_bar=7 min

UCL=D4R_bar

LCL=D3R_bar

For sampla size 5 D4=2.114

D3=0

UCL=14.798

LCL=0

samet mamat answered 1 year ago

Next > < Previous

Related Solutions

Discuss the purposes and differences between the C- charts, p-charts and X-bar and R charts. 2....

Discuss the purposes and differences between the C- charts, p-charts and X-bar and R charts. 2. Define Cp and Cpk 3. The capability index allows for some drifting of the process mean. Discuss what this means in terms of product quality output.

x bar and R control Charts A quality control inspector at the Company B has taken...

x bar and R control Charts A quality control inspector at the Company B has taken twenty-five samples with four observations each of the sample weight (g). The data are shown in the table. Construct x bar and R control charts for these data. Identify any out-of- control points. Assume these points (if any) are assignable. Remove them and recalculate the control limits. Construct the revised x bar and R control charts. Submit data (spreadsheet) and charts. Comment on the...

Use the data in the table below to set up short-run X-bar and R charts using...

Use the data in the table below to set up short-run X-bar and R charts using the DNOM approach. The nominal dimensions for each part are TA = 50, TB = 75, TC = 60, TD = 100, and TE = 125. Sample Part M1 M2 M3 1 A 51 50 51 2 A 48 50 52 3 A 50 52 48 4 A 49 51 54 5 A 47 45 52 6 A 49 50 51 7 B 73...

A company manufacturing oil seals wants to establish x and R control charts on the process....

A company manufacturing oil seals wants to establish x and R control charts on the process. There are 25 preliminary samples of size 5 on the internal diameter of the seal. The summary data (in mm) are as follows: 6.1. A manufacturer of components for automobile transmissions wants to use control charts to monitor a process producing a shaft. The resulting data from 20 samples of 4 shaft diameters that have been measured are: 20 ∑ xi = 10.275, i=1...

1. Why are X-bar and R-Charts used together? Please Explain. 2. The principal focuses and methods...

1. Why are X-bar and R-Charts used together? Please Explain. 2. The principal focuses and methods of the pioneers of scientific management, what are they?(as represented by Henry Gantt, Frederick Taylor, Frank Gilbreth,etc.). In your words, how is the modern total quality management method different from the above?

For following data: a. Construct an R-chart for this process. b. Construct an X-bar chart for...

For following data: a. Construct an R-chart for this process. b. Construct an X-bar chart for this process. c. Does the process appear to be in control? Why or why not? d. Why must the R chart be read before the x-chart? Hour Sample 1 Sample 2 Sample 3 Sample 4 Sample 5 Sample 6 Sample 7 Sample 8 1 98.2706 98.82376 101.8175 100.1819 102.9594 101.165 95.25957 98.97423 2 100.7166 101.8866 98.56813 98.77126 101.8273 98.20298 101.6975 99.63706 3 98.9922...

The time and cost required to manufacture its product R&D costs were $120,000. The process was...

The time and cost required to manufacture its product R&D costs were $120,000. The process was patented. On July 1, 2016. Legal costs and fees to require the patent totaled $12,500. Browen estimated the useful life of the patent at 10 years. On July 1,2018, Browen sold the nonexclusive right to use the new process to Kennedy Company for $90,000. Because Bowen retained the patent, the agreement allows Kennedy to use, but not sell, the new technology for a period...

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar...

Solve step-by-step the following: 1) X-bar and R control Chart Subgroup X1 X2 X3 X4 X-bar R 1 1.2 1.1 1.1 2.3 2 3.2 1.3 1.3 3.3 3 1.3 1.4 1.3 1.1 4 3.2 1.1 3.3 2 5 2.1 3.2 2.4 2.3 6 3.1 3.1 3.2 3.3 7 3 1 2.2 2.1 8 2.3 1.3 3.1 2.4 9 4 3.3 4 4.3 10 1.2 3.1 1.3 1.3 11 2.2 1.4 1.1 3 12 3.2 2.3 3.1 1.2 13 1.1 3...

What role does the Bremstrallung process play in the biomedical applications of x-rays?

A tomato farmer has been using an X-bar and R chart to control the yield per...

A tomato farmer has been using an X-bar and R chart to control the yield per plant on her highly-mechanized farm. The yield is table over time in both variability and location. The X-bar chart has a centerline value of 10.50 pounds and the upper control limit is 14.20 pounds. Find the value of the lower control limit of the X-bar chart? Find the value of the upper and lower one-sigma and two-sigma zones of the X-bar chart? Find the...

Subjects