Table shows a different random sampling of $20$ cell phone models. Use this data to calculate a $95\%$ confidence interval for the true mean SAR for cell phones certified for use in the United States. As previously, assume that the population standard deviation is $=0\mathrm{.}337.$

$\backslash$table$[[$Phone Model,SAR,Phone Model,SAR$],[$Blackberry Pearl $8120,1\mathrm{.}48,$Nokia E$71$X$,1\mathrm{.}53],[$HTC Evo Design $4$G$,0\mathrm{.}8,$Nokia N$75,0\mathrm{.}68],[$HTC Freestyle,$1\mathrm{.}15,$Nokia N$79,1\mathrm{.}4],[$LG Ally,$1\mathrm{.}36,$Sagem Puma,$1\mathrm{.}24],[$LG Fathom,$0\mathrm{.}77,$Samsung Fascinate,$0\mathrm{.}57],[$LG Optimus Vu$,0\mathrm{.}462,$Samsung Infuse $4$G$,0\mathrm{.}2],[$Motorola Cliq XT$,1\mathrm{.}36,$Samsung Nexus S$,0\mathrm{.}51],[$Motorola Droid Pro,$1\mathrm{.}39,$Samsung Replenish,$0\mathrm{.}3],[$Motorola Droid Razr M$,1\mathrm{.}3,$Sony W$518$a Walkman,$0\mathrm{.}73],[$Nokia $7705$ Twist,$0\mathrm{.}7,$ZTE C$79,0\mathrm{.}869]]$