Samples of n = 5 units are taken from a process every hour. The x-bar and...

Samples of n = 5 units are taken from a process every hour. The x-bar and R-bar values for a particular quality characteristic are determined. After 25 samples have been collected, we calculate x-bar = 20 and R-bar = 4.56. a) What are the three-sigma control limits for x-bar and R? b) Both charts exhibit control. Estimate the process standard deviation. c) Assume that the process output is normally distributed. If the specifications are 19 ± 5, what are your conclusions regarding the process capability? d) If the process mean shifts to 24, what is the probability of not detecting this shift on the first subsequent sample? .I want expert solution

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orchestra answered 1 year ago

Question 1. Samples of n = 4 items are taken from a process at regular intervals....

Question 1. Samples of n = 4 items are taken from a process at regular intervals. A normally distributed quality characteristic is measured and x-bar and s values are calculated at each sample. After 50 subgroups have been analyzed, we have ? x?i = 1,000 and ? si = 72 (A) Compute the control limit for the x and s control charts (B)Assume that all points on both charts plot within the control limits. What are the natural tolerance limits...

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...

. Samples of 20 products from a production line are selected every hour. Typically, 2% of...

. Samples of 20 products from a production line are selected every hour. Typically, 2% of the products require improvement. Let X denote the number of products in the sample of 25 that require improvement. A production problem is suspected if X exceeds its mean by more than 3 standard deviations. (a) If the percentage of products that require improvement remains at 2%, what is the probability that X exceeds its mean by more than 3 standard deviations? (b) If...

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...

If n = 5 , x(bar) =31, and s = 8, construct a confidence interval at...

If n = 5 , x(bar) =31, and s = 8, construct a confidence interval at a 80% confidence level. Give your answers to one decimal place.

Samples of 36 parts are taken from a manufacturing process that produces machine parts with a...

Samples of 36 parts are taken from a manufacturing process that produces machine parts with a mean diameter of 12.40 cm and a standard deviation of 0.06 cm. If the diameters are normally distributed, what proportion of sample means will have diameters between 12.39 and 12.41 cm?

Suppose that independent samples ( of sizes n(i) ) are taken from each of k populations...

Suppose that independent samples ( of sizes n(i) ) are taken from each of k populations and that population (i) is normally distributed with mean mu(i) and variance sigma^2, i = 1, ..., k. That is, all populations are normally distributed with the same variance but with (possibly) different means. Let X(i)bar and s(i)^2, i = 1, ..., k be the respective sample means and variances. Let phi = c(1)mu(1) + c(2)mu(2) + ... + c(k)mu(k), where c(1), c(2), ...,...

For a data set obtained from a sample, n= 75 and x bar= 46.55. It is...

For a data set obtained from a sample, n= 75 and x bar= 46.55. It is know that ?= 4.3. a) What is the point estimate of ?? b) Make a 90% confidence interval for ?. Round answers to two decimal places. (_________,_________) c) What is the margin of error of estimate for part b? Round answers to three decimal places. E=__________ Please show work for a,b,c.

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...

Twenty samples of n = 200 were taken by an operator at a workstation in a...

Twenty samples of n = 200 were taken by an operator at a workstation in a production process. The number of defective items in each sample were recorded as follows Sample number of defectives Sample number of defectives 1 12 11 16 2 18 12 14 3 10 13 12 4 14 14 16 5 16 15 18 6 19 16 20 7 17 17 18 8 12 18 20 9 11 19 21 10 14 20 22 1- develop...

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