There is a data set consisting of the aluminum contents of 26 bihourly samples of recycled pet plastic from a recycling facility. those 26 measurements have latex: \frac{ }{y} y = 142.7 ppm and latex: s\approx98.2 s ≈ 98.2 ppm. use these facts to respond to the following. ( assume that n = 26 is large enough to permit the use of large-sample formulas in this case.) (a) make a 90% two-sided confidence interval for the mean aluminium content of such specimens over the 52- hour study period. (b) make a 95% two-sided confidence interval for the mean aluminium content of such specimens over the 52- hour study period. how does this compare to your answer to part (a)? (c) make a 90% upper confidence interval for the mean aluminium content of such specimens over the 52- hour study period. (find # such that (latex: -\propto − ∝ , #) is a 90% confidence interval.) how does this value compare to upper endpoint of your interval from part (a)? (d) make a 95% upper confidence interval for the mean aluminium content of such specimens over the 52- hour study period. how does this value compare to your answer to part (c)? (e) interpret your interval from (a) for someone with little statistical background. (speak in the context of the recycling study and use definition 2 as your guide.) html editor keyboard shortcuts