The Stryker Baseball Bat Company manufactures woodenand aluminum baseball bats at its plant in New England.Wooden bats produced for the mass market are turned on alathe, where a piece of wood is shaped into a bat with ahandle and barrel. The bat is cut to its specified length andthen finished in subsequent processes. Once bats are cut tolength, it is difficult to rework them into a different style,so it is important to catch defects before this step. As such,bats are inspected at this stage of the process. A specificstyle of wooden bat has a mean barrel circumference of9 inches at its thickest point with a standard deviation of0.6 inch. (The process variability is assumed to be normallydistributed.)a. Construct a mean control chart for this process for 3limits and a sample size of 10 bats.b. Three samples are taken, and they have average batdiameters of 9.05 inches, 9.10 inches, and 9.08 inches.Is the process in control?c. What effect will increasing the sample size to 20 batshave on the control charts? Will the conclusions reachedin part (b) change for this sample size?
The Stryker Baseball Bat Company manufactures wooden
and aluminum baseball bats at its plant in New England.
Wooden bats produced for the mass market are turned on a
lathe, where a piece of wood is shaped into a bat with a
handle and barrel. The bat is cut to its specified length and
then finished in subsequent processes. Once bats are cut to
length, it is difficult to rework them into a different style,
so it is important to catch defects before this step. As such,
bats are inspected at this stage of the process. A specific
style of wooden bat has a mean barrel circumference of
9 inches at its thickest point with a standard deviation of
0.6 inch. (The process variability is assumed to be normally
distributed.)
a. Construct a mean control chart for this process for 3
limits and a sample size of 10 bats.
b. Three samples are taken, and they have average bat
diameters of 9.05 inches, 9.10 inches, and 9.08 inches.
Is the process in control?
c. What effect will increasing the sample size to 20 bats
have on the control charts? Will the conclusions reached
in part (b) change for this sample size?
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