3. Safe-T-Glass, Inc. manufactures square sheets of \"bullet-proof\" glass for u

Question

3. Safe-T-Glass, Inc. manufactures square sheets of "bullet-proof" glass for use in armored cars diplomatic limousines, bank windows, and for other high-security purposes. These sheets have maximum protective strength when they are manufactured at a thickness of exactly 8 mm. A thickness of either less than 8 mm or greater than 8 mm reduces the protective strength and is considered undesirable. Safe-T-Glass is evaluating manufacturing process to see whether it does a good job in meeting the 8 mm thickness specification. A sample of four glass sheets has been manufactured using this process, with the following resulting thicknesses. Find the sample mean and standard deviation for this process and use these to comment on the usefulness of this process in meeting the above specification.

Explanation / Answer

Sample mean=

sum/total

=8+7.6+8.8+7.6/4

=32/4

=8

sample mean =8mm

sample sd

,meets the standard as sample mean=8 and sample standard deviation is less.

X xbar x-xbar (x-xbar)^2 8 8 0 0 7.6 8 -0.4 0.16 8.8 8 0.8 0.64 7.6 8 -0.4 0.16 total(X-xbar)^2 0.96 total(X-xbar)^2/n-1 0.32 sample standard deviation----> 0.565685

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