2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are lined up in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and the temperature increased manually according to time-temperature scale. After cooling, a sample of five units is drawn from a lot and strength-tested by breaking them in a special testing device. To be effective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot from which it came is scrapped. About 10% of the lots have been scrapped in recent times. a. A decision is made to run a process capability study. Data on the next 20 lots are tested using the same procedure, and a sample sized of 5, and X-bar and R charts are drawn. At this point, EX 112.00 psi and ER = 23.26 psi. Calculate control limits for X andR for this process and estimate o b. Assuming a normal distribution of product, what proportion would you estimate does not meet specifications?

MATLAB: An Introduction with Applications
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2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are lined
up in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and the
temperature increased manually according to time-temperature scale. After cooling, a sample of five
units is drawn from a lot and strength-tested by breaking them in a special testing device. To be
effective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot from
which it came is scrapped. About 10% of the lots have been scrapped in recent times.
a. A decision is made to run a process capability study. Data on the next 20 lots are tested using the
same procedure, and a sample sized of 5, and X-bar and R charts are drawn. At this point, IX = 112.00
psi and ER = 23.26 psi. Calculate control limits for X and R for this process and estimate o
b. Assuming a normal distribution of product, what proportion would you estimate does not meet
specifications?
Transcribed Image Text:2. Ceramic items are "baked" in a gas-fired tubular-shaped oven is lots of 100 units. The items are lined up in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and the temperature increased manually according to time-temperature scale. After cooling, a sample of five units is drawn from a lot and strength-tested by breaking them in a special testing device. To be effective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot from which it came is scrapped. About 10% of the lots have been scrapped in recent times. a. A decision is made to run a process capability study. Data on the next 20 lots are tested using the same procedure, and a sample sized of 5, and X-bar and R charts are drawn. At this point, IX = 112.00 psi and ER = 23.26 psi. Calculate control limits for X and R for this process and estimate o b. Assuming a normal distribution of product, what proportion would you estimate does not meet specifications?
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