1. Design specifications require that a key dimension on a product measure 100+- 10 units. A process being considered for producing this product has a mean of 100 and a standard deviation of four units.

Calculate the process capability index for this example. Keep two decimals if applicable.

2. If there are 60 total defects from 8 samples, each sample consisting of 45 individual items in a production process, what is the fraction defective that can be used in a p chart for quality control purposes? ( Keep two decimals if applicable. )

3. Use the following passage for questions 3-6.

The following table contains the measurements of the key length dimension from a fuel injector. You may download the table from the following Excel file to facilitate calculation Assignment 4 Data 1.xlsx

Sample	Observations
1	0.473	0.479	0.511	0.492
2	0.515	0.486	0.499	0.494
3	0.536	0.47	0.515	0.513

The X double bar of samples is . Keep two decimals if applicable.

4. In question 3, the R bar of the samples is ____. Keep two decimals if applicable.

5. In question 3, the lower control limit (LCL) of X bar chart is (Refer to the chart below when needed). Keep two decimals if applicable.

		Factor for R Chart
Number of Observations in Subgroup	Factor for x-bar Chart	Lower Control Limit	Upper Control Limit
n	A2	D3	D4
2	1.88	0.00	3.27
3	1.02	0.00	2.57
4	0.73	0.00	2.28

6. In question 3, the upper control limit (UCL) of R bar chart is (refer to the following table if needed). Keep two decimals if applicable.

		Factor for R Chart
Number of Observations in Subgroup	Factor for x-bar Chart	Lower Control Limit	Upper Control Limit
n	A2	D3	D4
2	1.88	0.00	3.27
3	1.02	0.00	2.57
4	0.73	0.00	2.28