University Administrators Are Trying to Decide Where to Build a New

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 $\mu _ { \mathrm { e } } - \mu _ { \mathrm { b } }$ ) 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 exceeds the mean parking time of all engineering students.
B) They are $95 \%$ confident that the mean parking time of all business students equals the mean parking time of all engineering students.
C) They are $95 \%$ confident that the mean parking time of all business students is less than the mean parking time of all engineering students.