Question: The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.177 minutes. The

The time needed for performing a machining operation is to be investigated. Historically, the process has had a standard deviation equal to 0.177 minutes. The means (in minutes) of 39 samples of n = 6 are:

Sample Mean Sample Mean Sample Mean
1 3.78 14 3.74 27 3.80
2 3.75 15 3.77 28 3.68
3 3.69 16 3.88 29 3.90
4 3.80 17 3.70 30 3.54
5 3.91 18 3.81 31 3.74
6 3.78 19 3.70 32 3.88
7 3.98 20 3.83 33 3.66
8 3.88 21 3.82 34 3.62
9 3.96 22 3.81 35 3.50
10 3.90 23 3.72 36 3.64
11 3.95 24 3.71 37 3.98
12 3.95 25 3.98 38 3.84
13 3.90 26 3.89 39 3.79

The average of the 39 sample means is equal to 3.80.

a. Construct an xx -chart for this process with two-sigma limits. (Round the final answers to 2 decimal places.)

UCL LCL
Mean Control Limits

b. Is the process in control?

multiple choice

  • Yes

  • No

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