Question: A quality control manager at a manufacturing facility has taken four samples with four observations each of the diameter of a part. Samples of Part

A quality control manager at a manufacturing facility has taken four samples with four observations each of the diameter of a part.

Samples of Part Diameter in Inches

1

2

3

4

6.3 6.3 5.9 6.0
6.3 6.2 6.1 6.2
5.8 6.3 5.9 6.2
5.8 6.0 6.3 6.3

(a) Compute the mean of each sample

Mean of sample 1

enter mean of sample 1 rounded to 3 decimal places

Mean of sample 2

enter mean of sample 2 rounded to 3 decimal places

Mean of sample 3

enter mean of sample 3 rounded to 3 decimal places

Mean of sample 4

(b) Compute an estimate of the mean and standard deviation of the sampling distribution. (Round answers to 4 decimal places, e.g. 15.2500.)

Mean

enter mean rounded to 4 decimal places

Standard deviation

enter standard deviation rounded to 4 decimal places

(c) Develop control limits for 3 standard deviations of the product diameter. (Round answers to 2 decimal places, e.g. 15.25.)

CL

enter control limit rounded to 2 decimal places

UCL

enter the upper control limit rounded to 2 decimal places

LCL

enter the lower control limit rounded to 2 decimal places

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