Dynamic random-access memory (DRAM) memory chips are made from silicon wafers in manufacturing facilities through a very complex process called wafer fabs. The wafers are routed through the fab machines in an order that is referred to as a recipe. The wafers may go through the same machine several times as the chip is created. The data file DRAM Chips
Download DRAM Chips
contains a sample of processing times, measured in fractions of hours, at a particular machine center for one chip recipe.

Calculate the 80th percentile for processing time.

Question

Dynamic random-access memory (DRAM) memory chips are made from silicon wafers in manufacturing facilities through a very complex process called wafer fabs. The wafers are routed through the fab machines in an order that is referred to as a recipe. The wafers may go through the same machine several times as the chip is created. The data file DRAM Chips 
Download DRAM Chips
contains a sample of processing times, measured in fractions of hours, at a particular machine center for one chip recipe.

Calculate the 80th percentile for processing time.

BlackTom AI · Accepted Answer

The question concerns calculating the 80th percentile for processing time from a sample data file of a chip recipe. To proceed, we would normally need the actual list of processing times in the sample to determine the value below which 80% of the times fall. Without the numeric data, any assertion about the exact 80th percentile would be speculative. Nevertheless, I will analyze each provided option in the context of percentile concepts and typical interpretation.

Option 1: 0.45 minutes. This value would represent the time such that 80% of observed processing times are at or below 0.45 minutes, assuming the data actually supports that cutoff. If the dataset contains several values around 0.45 and the 20th percentile is well below this, 0.45 could be plausible. However, without the data, we cannot confirm that 0.45 is exactly the 80th percentile.

Option 2: 0.40 minutes. Interpreted as the 80th percentile, this would mean 80% of times are less than or equal to 0.40 minutes. This seems relatively small for DRAM wafer processing, depending on unit scale and measurement granularity; if the data show many values around or below 0.40 and a tail above it, 0.40 could be plausible. Again, confirmation requires the actual data.

Option 3: 0.20 minutes. Claiming 0.20 as the 80th percentile would imply that 80% of the processing times are at or below 0.20 minutes, which is quite low for typical wafer processing steps unless the dataset is heavily skewed toward very short times or the times are measured in a finer scale for a subset of operations. Without data, this is a potentially unlikely value, but possible if the dataset is unusually fast.

Option 4: 0.35 minutes. If 0.35 minutes is the 80th percentile, then 80% of times are at or below 0.35. This could be reasonable in many practical datasets, depending on the spread and the presence of longer tail values. Like the others, this relies on the actual distribution to be verified.

In summary, each option represents a potential 80th percentile value, but the key missing piece is the actual set of processing times from the sample file. The 80th percentile is determined by ordering the data and finding the value below which 80% of observations fall; without the list, we cannot definitively identify which option is correct. If the provided answer field indicates 0.45 minutes, that would imply the sample data yields 0.45 as the cutoff, but this conclusion cannot be verified here without the data. The core idea remains: the correct choice must correspond to the value at the 80th percentile for the given data distribution, and all other options would be incorrect if they do not match that position in the ordered data.

OSC 2030-009 Fall 2025 SUBMIT: Graded Homework Module 2 (Chap 3)

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