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Exam ICGB topic 1 question 45 discussion

Actual exam question from Six Sigma's ICGB
Question #: 45
Topic #: 1
[All ICGB Questions]

Due to excessive pollution, GREEN Solutions Inc. is considering subsidizing public transportation to work for its employees. According to the manager it takes an average weekday commute of 39 minutes with a Standard Deviation of 7 minutes for the employees to get to work while they use their personal vehicles for their office commute while the 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. Assuming a Normal
Distribution for the commute times by either personal or public transportation, which of these is true?

  • A. The probability that they would arrive on time using personal vehicles is much higher than using the metro public transportation system (MPTS)
  • B. The probability that they would arrive on time using the MPTS is much higher than using their personal vehicles
  • C. The two probabilities are about the same excepting in one case the consistency is higher than the other
  • D. We need to compile more data around weekends to incorporate for traffic differences
  • E. When Standard Deviation is higher the probability goes down and so the MPTS is worse
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Suggested Answer: B 🗳️
by minka292 at July 11, 2020, 11:43 p.m.

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MariaSC
1 week, 1 day ago
shouldn't we know the sample size for X1 bar = 39, s = 7? we cannot perform Z test accurately, therefore we cannot decide if we accept H0 and with which probability. I am also voting for answer E. Makes more sense? please can someone confirm?
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Ahmednm
6 months, 1 week ago
I shall go for E .. this is the most common sense answer for me .. it's better than A and C.. B definitely is wrong as well as D
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minka292
11 months ago
Why not the answer C? I had the same question on my online training and the answer was C not B. I am confused now, could someone please confirm ? Thx
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