$\backslash$table$[[,90\%,95\%,99\%,$FormText$(95)],[$x xbar,$2533\mathrm{.}656863,2533\mathrm{.}656863,2533\mathrm{.}656863,=$ E$4],[$n$,102,102,102,=$ E$2],[$s$,1673\mathrm{.}311216,1673\mathrm{.}31122,1673\mathrm{.}31122,=$ E$11],[$t$,1\mathrm{.}66008063,1\mathrm{.}983731,2\mathrm{.}62538596,=$ T$.$INV$(0\mathrm{.}975,101)],[$MOE$,275\mathrm{.}0463073,328\mathrm{.}66951,434\mathrm{.}980507,=$ L$8*$L$7/$SQRT$($L$6)],[$LB$,2258\mathrm{.}610555,2204\mathrm{.}987353,2098\mathrm{.}676355,=$ L$5-$L$9],[$UB$,2808\mathrm{.}703170,2862\mathrm{.}326372,2968\mathrm{.}637370,=$ L$5+$L$9]]$

I

Question $9$: What is the $95\%$ confidence interval for the average DIFFERENCE variable and explain what this tells us$.$

Question $10$: If a car company had a promotion that stated their car lot had $102$ cars and their average DIFFERENCE was less than $$2,000,$ would you believe it$?$ Please explain your answer.