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A process produces rejects at a rate of 6 o. If multiple samples of 5 are drawn from a population of 100.000. what is the expected number of rejects per sample?
Suggested Answer: A
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The expected number of rejects per sample can be calculated using the reject rate and the sample size. Given a reject rate of 6% (or 0.06) and a sample size of 5:
Expected number of rejects per sample = 0.06 * 5 = 0.3
Montgomery, D.C. (2009). Introduction to Statistical Quality Control. Wiley.
ASQ. (n.d.). Basic Quality Tools. Retrieved from https://asq.org/quality-resources/basic-quality-tools
29 comments · newest first
RO
Rosenda
7 months ago
Sure! If rejects are 6%, then for 5 samples, it’s 0.3 rejects expected.
FR
Freeman
8 months ago
I’m confused! Can someone explain the reasoning behind A?
JO
Josphine
8 months ago
I’m leaning towards D) 6,000.0. It feels right with the numbers.
LA
Laila
8 months ago
I disagree, Lynsey. I think it’s B) 30.0.
LY
Lynsey
8 months ago
I feel like the answer is A) 0.3. It seems logical.
BE
Bette
8 months ago
Yup, B makes sense based on the math!
OL
Olen
9 months ago
Just to clarify, that's 6% of 5 samples, right?
RI
Rikki
9 months ago
Wait, 30? That seems way too high!
MA
Marilynn
9 months ago
Wow, these answers are all over the place. I'm starting to think some of my fellow test-takers need to brush up on their basic probability and statistics.
DO
Dottie
9 months ago
C) 5,000.0 is just ridiculous. The sample size is only 5, so the expected number of rejects can't be that high.
PA
Pamella
9 months ago
B) 30.0 is way off. The question is asking for the expected number of rejects per sample, not the total number of rejects.
AL
Alfred
9 months ago
A) 0.3 seems like the correct answer here. The process produces rejects at a rate of 6%, and with a sample size of 5 from a population of 100,000, the expected number of rejects per sample would be 0.3.
RO
Rosio
10 months ago
Totally agree, B is the right answer!
HY
Hyun
10 months ago
This question is tricky! I think I need to break it down.
VA
Vanesa
10 months ago
It's 30.0 rejects per sample.
RE
Reena
10 months ago
D) 6,000.0 is even more absurd than the previous answer. The process produces rejects at a rate of 6%, not 6,000%.
NA
Nana
10 months ago
Hmm, let me think this through step-by-step. The population size is 100,000, and the reject rate is 6%. So the total number of rejects in the population would be 6% of 100,000, which is 6,000. Then, since we're drawing samples of 5, the expected number of rejects per sample would be 6,000 / (100,000 / 5) = 0.3. I think that's the right approach.
NO
Norah
11 months ago
Wait, I'm a bit confused. If the process produces rejects at a rate of 6%, shouldn't the expected number of rejects be higher than 0.3? I'm not sure I'm understanding this correctly.
JE
Jess
11 months ago
I've got this! The expected number of rejects per sample is the rate of rejects (6%) multiplied by the sample size (5), which gives us 0.3. So the answer is A) 0.3.
AR
Arminda
11 months ago
Okay, let me see here. The process produces rejects at a rate of 6%, and we're drawing samples of 5 from a population of 100,000. I think I need to calculate the expected value, but I'm not sure how to approach this.
BA
Barbra
11 months ago
Hmm, this looks like a probability question. I'll need to think through the process carefully to determine the expected number of rejects per sample.
EM
Emelda
6 months ago
Yeah, option A seems correct!
DA
Danica
6 months ago
So, for a sample of 5, it should be 0.3 rejects, right?
LA
Latia
7 months ago
Right! If the rate is 6, we can find the expected rejects.
KR
Kristeen
7 months ago
I think we need to calculate the rejects based on the sample size.
VA
Vallie
12 months ago
I thought the total population mattered more, but I guess we're just looking at the sample size here? I need to double-check my calculations.
SH
Shasta
12 months ago
If we take 6% of 5, that seems like it would give us 0.3, but I feel like I might be missing something about the total population.
KE
Kenneth
12 months ago
I remember something about multiplying the reject rate by the sample size, but I'm not sure if I should convert the percentage first.
CH
Chantell
1 year ago
I think the reject rate of 6% means we need to calculate it based on the sample size of 5.