Question

In: Statistics and Probability

Twenty-five samples of 100 items each were inspected when a process was considered to be operating...

Twenty-five samples of 100 items each were inspected when a process was considered to be operating satisfactorily. In the 25 samples, a total of 155 items were found to be defective.

(a)What is an estimate of the proportion defective when the process is in control?

____?___

(b)What is the standard error of the proportion if samples of size 100 will be used for statistical process control? (Round your answer to four decimal places.)

____?____

(c)Compute the upper and lower control limits for the control chart. (Round your answers to four decimal places.)

UCL=

LCL=

Solutions

Expert Solution


Related Solutions

Twenty samples with 100 units each were taken; with the following number of defectives in each...
Twenty samples with 100 units each were taken; with the following number of defectives in each respective sample: 11, 2, 7, 5, 6, 7, 8, 5, 3, 6, 4, 3, 5, 6, 2, 5, 0, 9, 10, and 8. Calculate the center line, upper control limit, and lower control limit for a 3s p-chart. (RE: As your starting point, recall that p-charts represent percentages of defects for samples.) Plot the points on the chart. Comment on whether the process is...
Twelve samples, each containing five parts, were taken from a process that produces steel rods. The...
Twelve samples, each containing five parts, were taken from a process that produces steel rods. 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.) 1 10.002 0.011 2 10.002 0.014 3 9.991 0.007 4 10.006 0.022 5 9.997 0.013 6 9.999 0.012 7 10.001 0.008 8 10.005 0.013 9 9.995 0.004 10 10.001 0.011 11 10.001 0.014 12 10.006...
1. Five samples of table legs produced in an automated cutting process were taken each hour...
1. Five samples of table legs produced in an automated cutting process were taken each hour for 20 hours. The length of a table leg in centimeters was measured, and yielded averages and ranges show in the below table. Assume the sample size (n) is 5. Sample Avg Length () Range (R) 1 95.72 1.0 2 95.24 0.9 3 95.18 0.8 4 95.44 0.4 5 95.46 0.5 6 95.32 1.1 7 95.40 0.9 8 95.44 0.3 9 95.08 0.2 10...
Five samples of size 4 were taken from a process. A range chart was developed that...
Five samples of size 4 were taken from a process. A range chart was developed that had LCLr = 0 and UCLr = 2.50. Similarly, an average chart was developed with the average range from the five samples, with LCLx = 15.0 and UCLX = 24.0. The ranges for each of the five samples were 1.75, 2.42, 2.75, 2.04, and 2.80, respectively. The values of the sample average for each sample were 19.5, 22.3, 17.4, 20.1, and 18.9, respectively. What...
samples of n=4 items each are taken from a manufacturing process at regular intervals. a quality...
samples of n=4 items each are taken from a manufacturing process at regular intervals. a quality characteristic is measured, and x-bar and r values are calculated for each sample. after 25 samples, we have: x-bar = 107.5 r = 12.5 assume that the quality characteristic is normally distributed. a)compute control limits for the x-bar and r control charts b)estimate the process mean and standard deviation c)assuming that the process is in control, what are the natural tolerance limits of the...
The data for 30 samples of 5 measurments each were collected from a process at Hawkeye...
The data for 30 samples of 5 measurments each were collected from a process at Hawkeye Plastics. They've asked you to create an x_bar chart and an s-chart for the process and to interpret the results for them. a) What vallues will be used for the centerline, upper control limit, and lower control limit of each chart? b) Creat the control charts. c) Does the process appear to be in statistical control? Why or why not? d) The specification for...
One hundred blood samples were taken from 100 individuals. All of the blood samples were run...
One hundred blood samples were taken from 100 individuals. All of the blood samples were run through two machines to determine if the machines were testing samples appropriately. We expect that both machines should yield similar results. Below are the results of the analysis. Assume there are 100 sample and they are normal. Are the two machines similar? Should we check into whether one machine should be replaced? Show all of your work. Beckman Machine Coulter Machine 3. 4. 5....
Ten samples of 15 parts each were taken from an ongoing process to establish a p...
Ten samples of 15 parts each were taken from an ongoing process to establish a p chart for control. The samples and the number of defectives in each are shown in the following table: Sample n Number of defects in Sample Sample n Number of defects in Sample 1 15 3 6 15 2 2 15 1 7 15 0 3 15 0 8 15 4 4 15 2 9 15 1 5 15 0 10 15 0 Develop a...
Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows:...
Sales volume last weekend for four samples, each consisting of five car dealerships, were as follows: Data Point 1 2 3 4 5 Sample 1 10 31 42 18 29 Sample 2 35 41 27 15 33 Sample 3 32 17 38 25 31 Sample 4 17 20 36 28 44 What is the variance of the distribution of sample means? Please round your answer to the nearest tenth. Note that the correct answer will be evaluated based on the...
Twenty-five different cars were​ tested, and their weights​ (in pounds) and mileage​ (miles per​ gallon) were...
Twenty-five different cars were​ tested, and their weights​ (in pounds) and mileage​ (miles per​ gallon) were measured. The regression of mileage on weight has the MINITAB regression output shown below. Answer parts ​a-d. Predictor Coef SE Coef T P Constant 49.01549.015 2.5492.549 19.22919.229 0.000 Weight negative 0.006672−0.006672 0.00078890.0007889 negative 8.457−8.457 0.000 For the prediction equation determine the value of the​ y-intercept and the slope? Interpret the slope in terms of a​ 1000-pound increase in the vehicle weight? Interpret the​ y-intercept?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT