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

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 56 54 Sample 3: 61 59 56 55 58 Sample 4: 57 51 49 57 50 Sample 5: 50 49 57 55 56 Sample 6: 56 55 60 58 57 What is the value of the centerline for an X bar chart? (Round to two decimal places)

QUESTION 2

The upper control limit for the X bar chart is:

QUESTION 3

The lower control limit for the X bar chart is:

QUESTION 4

The upper control limit for the R chart is:

QUESTION 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 = 59.217067
Center line = 54.966667
Lower control limit = 50.716267

R Chart results:
Upper control limit = 17.6352
Center line = 8.8
Lower control limit = 0

Hence,

Centerline for x bar chart = 54.97

Upper control limit for x bar chart = 59.22

Lower control limit for x bar chart = 50.72

Upper control limit for R chart = 17.64

Lower control limit for R chart = 0

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