A quality control manager at a manufacturing facility has taken four samples wit

ID: 3313396 • Letter: A

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 Diameter in Inches

(a) Compute the mean of each sample. (Round answers to 3 decimal places, e.g. 15.250.)

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

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

1 2 3 4 6.0 6.3 6.1 5.7 6.3 6.2 6.1 5.7 6.3 5.7 5.7 5.9 6.1 5.8 5.9 5.9

a) we compute mean of each sample

b) Mean and SD from the above sample means

Descriptive Statistics: Mean

Variable Mean StDev
Mean 5.9813 0.1546

c) CL = 5.981

UCL = 5.9813 + 3*0.1546 = 6.4451

LCL = 5.9813 - 3*0.1546 = 5.5175

Samples Mean 1 6 6.3 6.3 6.1 6.175 2 6.3 6.2 5.7 5.8 6 3 6.1 6.1 5.7 5.9 5.95 4 5.7 5.7 5.9 5.9 5.8

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