A soft drink filling machine is set up to fill bottles with 12 ...

[Jipu 123]

A soft drink filling machine is set up to fill bottles with 12 ounces of soft drink. The standard deviation s is known to be 0.4 ounces. The quality control department periodically selects samples of 16 bottles and measures their contents. Assume the distribution of filling volumes is normal.
 a. Determine the upper and lower control limits and explain what they indicate.
  b. The means of six samples were 11.8, 12.2, 11.9, 11.9, 12.1, and 11.8 ounces. Construct an X bar chart and indicate whether or not the process is in control.

Question 2

An acceptance sampling plan uses a sample of 18 with an acceptance criterion of zero. Determine the probability of accepting shipments that contain 5, 10, 15, 20, 25, 30, 35, 40, and 45 defective units.

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Answer to Question 1

a. LCL = 11.7
UCL = 12.3
b. Process is in control

Answer to Question 2

0.3972
0.1501
0.0536
0.0180
0.0056
0.0016
0.0004
0.0001
0.0000

[Jipu 123]

TYSM

[ryansturges]

Great answer, keep it coming