Question: A Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000
A Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000 transactions each week, for four weeks in a row. A transaction was considered defective, if the analyst detected any error in the transaction.
Week | Total Defectives |
1 | 23 |
2 | 15 |
3 | 29 |
4 | 13 |
What is the sample proportion of defective transactions in week 1?
A Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000 transactions each week, for four weeks in a row. A transaction was considered defective, if the analyst detected any error in the transaction.
Week | Total Defectives |
1 | 23 |
2 | 15 |
3 | 29 |
4 | 13 |
What is the average sample proportion of defective transactions for all four weeks?
A Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000 transactions each week, for four weeks in a row. A transaction was considered defective, if the analyst detected any error in the transaction.
Week | Total Defectives |
1 | 23 |
2 | 15 |
3 | 29 |
4 | 13 |
What is the standard deviation of the sample proportions of defective transactions?
A Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000 transactions each week, for four weeks in a row. A transaction was considered defective, if the analyst detected any error in the transaction.
Week | Total Defectives |
1 | 23 |
2 | 15 |
3 | 29 |
4 | 13 |
What are the upper and lower control limits for this control chart, using 3 sigma control limits?
Quality Analyst wants to construct a control chart for determining whether errors in bank transactions are under control. She looked at samples of 1000 transactions each week, for four weeks in a row. A transaction was considered defective, if the analyst detected any error in the transaction.
Week | Total Defectives |
1 | 23 |
2 | 15 |
3 | 29 |
4 | 13 |
If the upper and lower control limits were .026 and .014, which week(s) would be considered out-of-control for the proportion of defective transactions?
A Quality Analyst at a pizza store wanted to make sure every pizza is "perfect." He looked at the last eight pizzas that were ordered and were ready to be delivered. He counted all the defects per pizza. A defect can be: too little cheese, burnt crust, toppings not well distributed, etc.
Pizza | Total Defectives |
1 | 2 |
2 | 5 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 2 |
7 | 0 |
8 | 3 |
What is the sample average of defects per pizza?
A Quality Analyst at a pizza store wanted to make sure every pizza is "perfect." He looked at the last eight pizzas that were ordered and were ready to be delivered. He counted all the defects per pizza. A defect can be: too little cheese, burnt crust, toppings not well distributed, etc.
Pizza | Total Defectives |
1 | 2 |
2 | 5 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 2 |
7 | 0 |
8 | 3 |
What is the standard deviation of the number of defects per pizza?
A Quality Analyst at a pizza store wanted to make sure every pizza is "perfect." He looked at the last eight pizzas that were ordered and were ready to be delivered. He counted all the defects per pizza. A defect can be: too little cheese, burnt crust, toppings not well distributed, etc.
Pizza | Total Defectives |
1 | 2 |
2 | 5 |
3 | 3 |
4 | 4 |
5 | 5 |
6 | 2 |
7 | 0 |
8 | 3 |
What is the lower and the upper control limits for this control chart, using 3 sigma control limits
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