Question: A machine fills boxes with cereal. The labeled weight is 9 oz. The quality control department sampled three boxes every day for four days. The

A machine fills boxes with cereal. The labeled weight is 9 oz. The quality control department sampled three boxes every day for four days.

The samples are as follows (You may download the table from the following Excel file to facilitate calculation X R Charts Data 3.xlsx ):

Sample Box Weights
1 9.46 9.12 8.76 8.65
2 9.08 8.62 8.79 9.27
3 8.75 9.38 8.62 9.03

The X double bar of samples is_______ . The R bar of the samples is ._________The lower control limit (LCL) of X bar chart is_______ (refer to the table below if necessary). The upper control limit (UCL) of R bar chart is ________(refer to the table below if necessary) (Keep two decimal points).

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

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