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According to a manager it takes an average weekday commute of 39 minutes with a Standard Deviation of 7 minutes for the employees to get to work when they use their personal vehicles for their office commute while management set a policy of not more than 40 minutes for their daily one-way commute. A survey conducted one day on 70 employees showed an average of 34 minutes commuting time using the metro public transportation system with a Standard Deviation of 21 minutes. For the employees choosing to increase their chances to come on time using personal transportation their variation should be reduced to ___________?
Suggested Answer: D
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34 comments · newest first
PA
Paz
11 months ago
Eliminate it to 0.0 minutes? That seems unrealistic!
KE
Keneth
11 months ago
I agree, reducing variation is key for punctuality!
CY
Cyril
11 months ago
Wait, how can the metro average be 34 minutes with a 21-minute SD?
MO
Mohammad
12 months ago
I think 40 minutes is a bit too lenient, honestly.
RO
Rodolfo
12 months ago
That's interesting, 39 minutes is pretty standard for a commute.
KA
Karol
12 months ago
I’m confused about how to approach this. I thought we were supposed to aim for a standard deviation lower than the average commute time, but I can’t recall the exact method.
SA
Sage
1 year ago
I feel like the answer should be something reasonable, but eliminating it completely seems unrealistic. Maybe 3.5 minutes?
LA
Laurene
1 year ago
This question reminds me of a practice problem where we had to find the optimal standard deviation for a different scenario. I think it was about 6 minutes?
RO
Roselle
1 year ago
I remember something about reducing variation to improve reliability, but I'm not sure how to calculate that here.
YU
Yun
1 year ago
I'm not sure about this one. The standard deviations seem important, but I'm not sure how to use them to solve the problem. I'll have to think it through carefully.
DE
Delisa
1 year ago
Hmm, I'm a bit confused by all the numbers and statistics in this problem. I'll need to re-read it carefully to make sure I understand what's being asked.
LI
Lindy
1 year ago
This question looks tricky, but I think I can work through it step-by-step. I'll need to compare the commute times and standard deviations to figure out how to reduce the variation.
JA
Janine
1 year ago
Okay, I've got this. The key is to reduce the variation in commute time for the employees using personal vehicles to meet the 40-minute policy. I think option C is the right answer.
KE
Kenny
1 year ago
I remember something about reusing keys, but I thought it was discouraged due to risks. This feels tricky!
BE
Becky
1 year ago
Maybe the manager should just install a teleportation system and eliminate the commute altogether. Then they could all show up to work on time, every time!
BR
Brandon
1 year ago
C) 3.5 minutes
RE
Rebbeca
1 year ago
B) 6 minutes
LE
Leonor
1 year ago
A) 1 minute
CA
Casie
1 year ago
Ah, the old 'reduce the variation' trick. If I had a nickel for every time I've seen that on an exam, I could probably afford a faster commute!
JE
Jeannine
1 year ago
C) 3.5 minutes
CA
Catrice
1 year ago
B) 6 minutes
JE
Jennifer
1 year ago
A) 1 minute
PO
Pok
1 year ago
Hmm, 3.5 minutes? That's a pretty tight window. I hope the employees don't have to be on time down to the second or they'll be in trouble!
KI
Kiley
2 years ago
I'm not sure why they're asking about reducing variation when the metro system already has a shorter average commute time. Seems like a trick question to me.
GI
Gianna
1 year ago
D) Eliminate it to 0.0 minutes
CH
Chun
1 year ago
C) 3.5 minutes
LO
Louann
1 year ago
B) 6 minutes
FR
Francesco
1 year ago
A) 1 minute
BL
Blair
1 year ago
B) 6 minutes
WA
Wayne
1 year ago
A) 1 minute
AN
Anika
2 years ago
The correct answer is C) 3.5 minutes. The goal is to reduce the variation to meet the 40-minute policy, and the standard deviation of 3.5 minutes would do that.
NO
Norah
2 years ago
I'm not sure about that. Wouldn't eliminating the variation to 0.0 minutes be the best option to ensure everyone arrives on time?
MA
Maia
2 years ago
I agree with Stephane. By reducing the variation to 6 minutes, employees can increase their chances of arriving on time.
ST
Stephane
2 years ago
I think the answer is B) 6 minutes.