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The following samples have been taken from an on-going process. Use these values

ID: 3053519 • Letter: T

Question

The following samples have been taken from an on-going process. Use these values to create both an X bar and an R chart, and then answer the questions below.

Sample 1: 56 48 53 58 52

Sample 2: 50 59 57 54 54

Sample 3: 61 59 56 55 58

Sample 4: 57 51 46 57 50

Sample 5: 53 49 57 55 56

Sample 6: 56 55 60 58 56

1.What is the value of the centerline for an X bar chart? (Round to two decimal places)

2.The upper control limit for the X bar chart is:

3.The lower control limit for the X bar chart is:

4.The upper control limit for the R chart is:

5.The lower control limit for the R chart is

Explanation / Answer

The statistical software output for this problem is:

Control chart results:
Xbar Chart results:
Upper control limit = 59.503467
Center line = 54.866667
Lower control limit = 50.229867

R Chart results:
Upper control limit = 19.2384
Center line = 9.6
Lower control limit = 0

Hence,

1. Value of centerline for an X bar chart = 54.87

2.The upper control limit for the X bar chart = 59.50

3.The lower control limit for the X bar chart = 50.23

4.The upper control limit for the R chart = 19.24

5.The lower control limit for the R chart = 0