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A set of data from a process has 8 readings per sample and 50 samples. The mean of the 50 sample means is 12.62. The mean of the 50 ranges is 0.18.A customer requires that SPC charts be done on their forms which have spaces for only 5 readings per sample. In preparation for calculating the new control limits the following question is asked, ''Will the new average range be larger or smaller than the current average range?''. The answer is:
Suggested Answer: C
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36 comments · newest first
CA
Cassi
10 months ago
Totally agree, smaller makes sense!
MA
Marcelle
11 months ago
Wait, how can we be sure it’ll be smaller?
AR
Arlean
11 months ago
Definitely smaller! Less data means less variability.
TA
Tambra
11 months ago
I think it’ll be smaller with only 5 readings.
LA
Lavera
11 months ago
The current average range is 0.18.
GL
Gladis
12 months ago
From what I recall, smaller sample sizes often lead to a larger average range, so I might go with "larger" for this question.
YO
Yolando
12 months ago
I'm a bit confused about this one. I feel like it could go either way, but I lean towards smaller since we're taking fewer readings.
LA
Lachelle
12 months ago
I think I practiced a similar question where the average range was affected by sample size, and it was smaller with fewer readings.
HO
Hoa
1 year ago
I remember that when you reduce the sample size, the average range usually decreases, but I'm not entirely sure how it applies here.
LA
Lavonna
1 year ago
Alright, I've got it. The range is the difference between the highest and lowest values in the sample. With fewer readings, the range is likely to be greater, so the new average range will be larger.
FA
Fausto
1 year ago
I think the key here is understanding how the range is calculated and how it's related to the number of readings per sample. If the number of readings goes down, the range should go up, so the new average range will be larger.
HE
Heike
1 year ago
I'm a bit confused here. Wouldn't reducing the number of readings per sample actually increase the range? I'll need to double-check the formulas for range and how that's affected by sample size.
BL
Blair
1 year ago
Okay, let's see. The current average range is 0.18 with 8 readings per sample. If we reduce to 5 readings per sample, the range should decrease, so the new average range will be smaller.
SK
Skye
1 year ago
Hmm, this seems like a tricky one. I'll need to think through the relationship between the number of readings per sample and the range.
GA
Gary
1 year ago
Wait, is this a trick question? I'm going to guess C) maybe, just to keep the exam folks on their toes.
CY
Cyndy
1 year ago
I'm not sure, it could be larger
TH
Theron
1 year ago
I think it might be smaller
FA
Fanny
1 year ago
Maybe
SU
Sunny
1 year ago
This is a classic case of overthinking it. The answer is clearly D) smaller. Fewer readings means less variability within each sample.
TA
Tayna
1 year ago
So, the new average range will definitely be smaller than the current average range.
LA
Lashonda
1 year ago
I agree, having only 5 readings per sample will reduce the variability, making the average range smaller.
GE
Gerald
1 year ago
I think the answer is D) smaller. With fewer readings per sample, the range is likely to be smaller.
BO
Bok
1 year ago
Hmm, I'm not sure about this one. I'll go with F) same size, just to play it safe.
TH
Thomasena
1 year ago
This is a tricky one. I'm going with E) larger. Reducing the number of readings per sample is likely to increase the variability within each sample, leading to a larger average range.
VI
Vicente
1 year ago
I'm not entirely sure, but I think I'll go with E) larger as well. It makes sense based on the information provided.
ER
Erick
1 year ago
I see your point, but I still believe that E) larger is the correct answer.
NO
Norah
1 year ago
But wouldn't reducing the number of readings per sample make the range smaller? I'm leaning towards D) smaller.
LE
Lewis
1 year ago
I think you're right. E) larger seems like the most logical choice.
PH
Phyliss
2 years ago
I'm not sure, maybe the new average range will be the same size as the current one.
PA
Pauline
2 years ago
The question is a bit convoluted, but I think the answer is D) smaller. With fewer readings per sample, the range should decrease.
LO
Lorita
1 year ago
I'm not sure, maybe the answer is F) same size.
FI
Fidelia
1 year ago
I believe the answer is A) yes.
WI
Willis
1 year ago
I think the answer is E) larger.
HE
Hershel
1 year ago
I agree, the answer is D) smaller.
CA
Cathrine
2 years ago
I agree with Merissa, because with fewer readings per sample, the range is likely to be smaller.
ME
Merissa
2 years ago
I think the new average range will be smaller.