The most important material reclaimed from beverage bottles is PET plastic. A serious impurity is aluminum, which later can clog the filters in extruders when the recycled material is used. The following are the amounts (in ppm by weight of aluminum) found in bihourly samples of PET recovered at the plant over roughly a two day period.

291, 222, 125, 79, 145, 119, 244, 118, 182, 63, 30, 140, 101, 102, 87, 183, 60, 191, 119, 511, 120, 172, 70, 30, 90, 115

It is desirable to have mean aluminum content for samples of recycled plastic 200 ppm. Use the stepwise significance testing format to find whether this contamination goal is violated.

a) Under varience (Var X)=1

b) Under large sample assumption and varience (Var X) unknown

c) Under small sample assumption and varience (Var X)unknown

d) Give 95% confidence interval for the mean under large sample assumption

e) Give 95% confidence interval for the mean under small sample assumption

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