Question: Problem 1 Tuna Pouch Fill Weights Time n=1 n=2 n=3 n=4 n=5 6 74.3 75.7 75.6 74 74.2 7 76 75.2 76.2 76.4 76.8 8

Problem 1

Tuna Pouch Fill Weights

Time

n=1

n=2

n=3

n=4

n=5

6

74.3

75.7

75.6

74

74.2

7

76

75.2

76.2

76.4

76.8

8

75.6

75.3

74.2

74.6

75.2

9

75.8

75.2

74.3

73.6

74.9

10

76.3

74.2

80.6

76.5

77.1

11

76.2

74.9

75.1

76.8

75.1

12

78.2

77.6

76.9

77.2

78.1

13

76.9

74.3

75.3

74.2

74.3

14

74.3

75.3

76.9

71.3

77.2

15

78.4

78.8

79.5

77.2

76.1

16

74.8

76.5

76.4

76

76.4

17

76.3

74.6

75.2

75.6

75.1

18

77.8

77.7

76.8

73.3

77.2

19

80.3

80.3

75.8

76

79.1

20

79.1

76

74

79.8

80.3

21

74.4

73.9

74.8

76.8

75.2

22

74.2

74.1

73.9

73.5

74

23

74.6

76.9

80.9

80.5

80.9

24

80.1

80.2

79.8

79.9

80.6

1

77.9

76.8

78.4

78.9

77.3

2

76.6

76.4

73.2

73.5

77.9

S

3

77.3

76.4

81

79.2

76.2

3

75.4

73.9

76.8

78.3

74.6

A tuna processor fills 2.6 oz. pouches of a flavored tuna in sauce product to a targeted net weight of 74 grams.The pouches are filled using a positive displacement pump.

A sample size of 5 pouches is used in sampling the filling process.

Five pouches are pulled every hour for net weight control.

The net weight data is provided.

Questions

a)What are the UCL and LCL for the x bar and R charts for the tuna pouch net weight?

b)Is the pouch filling process in control?Please explain.

c)Should the operation convert to sampling individual pouches for net weight control vs. taking five samples per hour?

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