University administrators are trying to decide where to build a new parking garage on campus. The...
University administrators are trying to decide where to build a new parking garage on campus. The state legislature has budgeted just enough money for one parking structure on campus. The administrators have determined that the parking garage will be built either by the college of engineering or by the college of business. To help make the final decision, the university has randomly and independently asked students from each of the two colleges to estimate how long they usually take to find a parking spot on campus (in minutes). Based on their sample, the following 95% confidence interval (for µe - µb) was created... (4.20, 10.20). What conclusion can the university make about the population mean parking times based on this confidence interval?
A) They are 95% confident that the mean parking time of all business students is less than the mean parking time of all engineering students.
B) They are 95% confident that the mean parking time of all business students exceeds the mean parking time of all engineering students.
C) They are 95% confident that the mean parking time of all business students equals the mean parking time of all engineering students.
I believe it is option But i do not understand why.. please explain in depth. Thanks!
Chegg study has another answer posted "In this case, the 95% confidence interval of difference between mean time of all engineering students and mean time of all business students does not contain zero. In fact both lower and upper limit are greater than zero. So, it can be said that mean time of all engineering students is greater than mean time of all business students and this difference is statistically significant." This still does not make sense to me. Please help, thanks!!
Homework Answers
The confidence interval given for the difference of µe and µb is (4.20, 10.20). Our null hypothesis was that there is no difference i.e µe - µb = 0
Now,
This interval only contains positive values which means that 0 is not included in the interval. So nul hypothesis would be rejected and we can say that µe is greater than µb because the difference is positive.
Option B is correct.
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University administrators are trying to decide where to build a
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