Question

In: Statistics and Probability

A process that is in control has a mean of 12.5 and a standard deviation of...

A process that is in control has a mean of 12.5 and a standard deviation of .4

a. Construct an control chart if samples of size are to be used (to 1 decimal).

For n=4

Find the ucl

Find the lcl

b. Repeat part (a) for samples of size 6 and 13 (to 2 decimals).

For n-6

Find the ucl

Find the lcl

For n=13

Find the ucl

find the lcl

Find the

c. What happens to the limits of the control chart as the sample size is increased? Discuss why this is reasonable.

and become closer together as - Select your answer -increasesdecreases . If the process is in control, the larger samples should have less variance and should fall - Select your answer -closerfarther to .

Solutions

Expert Solution


Related Solutions

A process in control has an estimated standard deviation of 2 mm. The product produced by...
A process in control has an estimated standard deviation of 2 mm. The product produced by this process has specification limits of 120 ± 8 mm and a target value of 120 mm. Calculate the process capability indices Cp and Cpk for the process if the process mean shifts from 118 mm first to 122 mm and then to 124 mm, but the process variability remains the same. What will be the yield of the process for each of three...
A process has mean 11 and standard deviation 2.5. The process is monitored by taking samples...
A process has mean 11 and standard deviation 2.5. The process is monitored by taking samples of size 5 at regular intervals. The process is declared to be out of control if a point plots outside the 3σ control limits on a chart. 17a.) If the process mean shifts to 14, what is the average number of samples that will be drawn before the shift is detected on a X⎯⎯⎯X¯ chart? 17b.) An upward shift to what value will be...
A process is operating with a mean of 2.7 meters and a standard deviation of .6....
A process is operating with a mean of 2.7 meters and a standard deviation of .6. The customer has an upper specification of 3.9 and lower specification of 1.5. What is the estimated percent in spec? A)5% B)97.5% C)95% D)nearly 100%
The output of a process is normally distributed with mean 19 and standard deviation 0.25. The...
The output of a process is normally distributed with mean 19 and standard deviation 0.25. The process specifications are at 20±1. What proportion of the process output is within the specifications? If the process target can be adjusted relatively easily, what would you recommend to production to reduce the proportion of nonconforming output?
5.) The standard IQ test has a mean of 103 and a standard deviation of 1w....
5.) The standard IQ test has a mean of 103 and a standard deviation of 1w. We want to be 99% certain that we are within 3 IQ points of the true mean. Determine the required sample size. 16.) When 490 college students were surveyed, 145 said they own their car. Construct a 95% confidence interval for the proportion of college students who say they own their cars. 17.) A survey of 600 non-fatal accidents showed that 279 involved the...
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of...
Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. The probability that Z is less than 1.15 is
A population has a mean of 180 and a standard deviation of 36. A sample of...
A population has a mean of 180 and a standard deviation of 36. A sample of 84 observations will be taken. The probability that the sample mean will be between 181 and 185 is
A population has a normal distribution with a mean of 51.4 and a standard deviation of...
A population has a normal distribution with a mean of 51.4 and a standard deviation of 8.4. Assuming n/N is less than or equal to 0.05, the probability, rounded to four decimal places, that the sample mean of a sample size of 18 elements selected from this population will be more than 51.15 is?
A Population has a mean of 50 and a standard deviation of 15. If a random...
A Population has a mean of 50 and a standard deviation of 15. If a random sample of 49 is taken, what is the probability that the sample mean is each of the following a. greater than 54 b. less than 52 c. less than 47 d. between 45.5 and 51.5 e. between 50.3 and 51.3
A population has a mean of 180 and a standard deviation of 24. A sample of...
A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be taken. The probability that the sample mean will be between 183 and 186 is
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT