The questions for this exam were last updated on January 7, 2026
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Samples of size n=36 are randomly selected from a population with mean μ = 125 and variance 12. Find the variance of the distribution of sample means.
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Question No. 2
There are 14 different defects that can occur on a completed time card. The payroll department collects 328 cards and finds a total of 87 defects. DPU =
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Question No. 3
The Central Limit Theorem states that the distribution of sample means approximates a normal distribution if:
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Question No. 4
This QFD matrix was used in the design process for a ball point pen. What symbol is appropriate for the square labeled 10?
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Question No. 5
According to the Central Limit Theorem:
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Question No. 6
A team’s goal is to improve information flow in a payroll function. They make thirty-three Post-It® notes, each listing an issue for further investigation. After some discussion, they group them into four categories: mandated record keeping, privacy concerns, insurance concerns and transfer concerns. This grouping process is best described by which approach to problem solving?
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Question No. 7
A process using a p-chart has pbar = 0.076 and nbar = 4.86. Find the control limits.
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Question No. 8
If the probability that an event will occur is 0.83, then the probability that the event will not occur is:
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Question No. 9
The overall tolerance for three components in series in an electrical circuit Is+ 10 Ω. Assuming normal, stable, capable processes produce the components, use stack tolerance techniques to find a set of tolerances for the three components.
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Question No. 10
Calculate the main effect of factor A:
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Question No. 11
The median is a better choice than the mean for a measure of central tendency if the data:
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Question No. 12
A team is investigating ways to reduce power outages. They determine that an outage can occur in only three ways: grid failure, local transformer failure or local overload. They then investigate each of these three events for possible causes, etc. They draw a diagram that “fans out” using the power outage as the handle of the fan. These improvements are best described by which approach to problem solving?
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Question No. 13
An automatic gaging system is to be installed in a process. The gage will insert data values into a data base from which machine adjustments will be made automatically. A critical factor in specifying the equipment is:
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Question No. 14
What is the value of the test statistic?
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Question No. 15
A team wants to make a schedule for a project showing which tasks must be done sequentially and which may be done simultaneously. Which tool is most appropriate?
What symbol is appropriate for the square labeled 10? 
