Question $1$ of $13$

$-/4$

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

$\backslash$table$[[$Samples of Part Diameter in Inches$],[1,2,3,4],[6\mathrm{.}1,5\mathrm{.}7,6\mathrm{.}0,5\mathrm{.}9],[6\mathrm{.}1,6\mathrm{.}2,5\mathrm{.}8,6\mathrm{.}1],[5\mathrm{.}8,5\mathrm{.}8,6\mathrm{.}2,5\mathrm{.}9],[6\mathrm{.}3,6\mathrm{.}2,5\mathrm{.}8,5\mathrm{.}7]]$

$($a$)$ Compute the mean of each sample. $($Round answers to $3$ decimal places, e$.$g$.15\mathrm{.}250.)$

Mean of sample $1$

Mean of sample $2$

Mean of sample $3$

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$.15\mathrm{.}2500.)$

Mean

Standard deviation

$($c$)$ Develop control limits for $3$ standard deviations of the product diameter. $($Round answers to $2$ decimal places, e$.$g$.15\mathrm{.}25.)$

CL

UCL

LCL