ASQ CSSBB Exam - Topic 10 Question 97 Discussion

Actual exam question for ASQ's CSSBB exam

Question #: 97
Topic #: 10

An x-bar and R chart has four part measurements per sample The control limits on the averages chart are 2.996 and 3.256. Assume the process data form a normal distribution.What is the probability that the next part measurement falls outside the control limits?

A0.00135

B0.0027

C0.0681

D0.1362

E0.2724

Fnone of the above

Show Suggested Answer

Suggested Answer: C

by Dan at Sep 18, 2024, 07:38 AM

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Ruby

6 months ago

Yeah, I agree with A, seems right to me!

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Wilda

6 months ago

Wait, are we sure about the normal distribution assumption?

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Dianne

6 months ago

Definitely not E, that seems way too high.

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Royce

7 months ago

I think the probability is pretty low, maybe A?

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Rozella

7 months ago

The control limits are 2.996 and 3.256.

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Frederick

7 months ago

I feel like the answer might be around 0.0027, but I’m not confident. I should have practiced more with these types of problems.

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Evette

7 months ago

If the process is normally distributed, I believe the area outside the control limits is what we need to find, but I can't recall the exact method.

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Kristeen

7 months ago

I remember a similar question where we had to find the probability of falling outside control limits, and I think it involved using the normal distribution table.

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Marya

8 months ago

I think we need to calculate the z-scores for the control limits, but I'm not entirely sure how to do that with the averages.

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Cristina

8 months ago

Alright, let's think this through step-by-step. I need to find the z-score corresponding to the control limits, then use a normal distribution table to get the probability. I've got a good strategy here.

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Troy

8 months ago

Wait, is this a one-tailed or two-tailed probability? I better double-check the question to make sure I'm interpreting it correctly. Don't want to mess this up.

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Layla

8 months ago

This seems straightforward enough. I just need to plug the given control limits into the standard normal distribution formula and calculate the probability. I've got this!

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Kate

8 months ago

Hmm, I'm a bit confused about the normal distribution assumption here. Do I need to standardize the data before calculating the probability? I'll have to review that part.

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Kanisha

8 months ago

Okay, this looks like a probability question involving an x-bar and R chart. I'll need to remember the formulas for calculating the control limits and the probability of a part measurement falling outside those limits.

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Reuben

8 months ago

I've got this! Based on the weight of 9kg and price of 10, the expected result is C - no need to pay in cash, free delivery. The decision tables clearly show that for items under 10kg and under 20, free delivery is provided.

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