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	5.67	5.98	5.77	6.13
2	5.98	5.84	5.69	5.45
3	5.36	5.78	5.82	5.64

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 forRChart
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 forRChart
Number ofObservations 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