A teller at a drive-up window at a bank had the following service times (in minutes) for 20 randomly selected customers:
SAMPLE |
|||
1 |
2 |
3 |
4 |
4.5 |
4.6 |
4.5 |
4.7 |
4.2 |
4.5 |
4.6 |
4.6 |
4.2 |
4.4 |
4.4 |
4.8 |
4.3 |
4.7 |
4.4 |
4.5 |
4.3 |
4.3 |
4.6 |
4.9 |
a. |
Determine the mean of each sample. |
b. |
If the process parameters are unknown, estimate its mean and standard deviation. |
c. |
Construct control charts for means and ranges using Table 10.3. Are any samples beyond the control limits? If so, which one(s)? |
d. |
If the process has a known mean of 4.4 and a known standard deviation of .18, what would three-sigma control limits be for a mean chart? Are any sample means beyond the control limits? If so, which one(s)? |
a)
Determine the mean of each sample:
b)
Determine the mean and standard deviation when the parameters are unknown:
Determine R-bar and X-double ba...
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