# Question: Samples f n 5 units are taken from a process

Samples f n= 5 units are taken from a process every hour. The x and R values for a particular quality characteristic are determined. After 25 sample have been collected, we calculate x =20 and R = 4.56.

(a) What are the three-sigma control limits for the x and R?

(b) Both charts exhibit control. Estimate the process standard deviation.

(c) Assume that the process output is normally distributed. If he 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?

(a) What are the three-sigma control limits for the x and R?

(b) Both charts exhibit control. Estimate the process standard deviation.

(c) Assume that the process output is normally distributed. If he 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?

## Relevant Questions

A TiW layer is deposited on a substrate using a sputtering tool. Table 6E.14 contains layer thickness measurements (in angstroms) on 20 subgroups of four substrates. (a) Setup x and R control charts on this process. Is the ...An x chart has a center line of 100, uses three-sigma control limits, and is based on a sample size of four. The process standard deviation is known to be six. If the process mean shifts from 100 to 92, what is the ...Control charts for x and R are maintained on the tensile strength of a metal fastener. After 30 samples of size n= 6 are analyzed, we find that (a) Compute control limits on the R chart. (b) Assuming that the R chart ...Specifications on a normally distributed dimension are 600 ± 20. x and R charts are maintained on this dimension and have been in control over a long period of time. The parameters of these control charts are as follows (n ...The following x and s charts based on n = 4 have shown statistical control: (a) Estimate the process parameters µ and σ. (b) If the specifications are at 705 ± 15, and the process output is normally distributed, estimate ...Post your question