A washed sieve analysis was conducted on a blended aggregate sample. The original sample of $1500\mathrm{.}0$ grams was washed over a No$.200$ sieve. The material retained on the No$.200$ after the wash was dried to a constant mass of $1414\mathrm{.}2$ grams. The retained materials were then sieved over the standard nest of sieves indicated in the table below. Determine the gradation of the test sample in terms of Cumulative $\%$Passing. Then determine the MCAS, NMAS and Fineness Modulus of the test sample. $(15$ points$)$

$\backslash$table$[[$Sieve$,\backslash$table$[[$Sample Cumulative$],[$Weight Retained $($g$)]],$Cumulative $\%$Passing$],[\frac{3}{4^{\text{'}\text{'}}},0,],[\frac{1}{2^{\text{'}\text{'}}},39\mathrm{.}2,],[\frac{3}{8^{\text{'}\text{'}}},187\mathrm{.}8,],[$#$4,491\mathrm{.}4,],[$#$8,836\mathrm{.}1,],[$#$16,1073\mathrm{.}2,],[$#$30,1206\mathrm{.}3,],[$#$50,1314\mathrm{.}6,],[$#$100,1385\mathrm{.}8,],[$#$200,1408\mathrm{.}8,],[$Pan$,1414\mathrm{.}2,]]$

Calculate the solid volume and percent voids of an aggregate with unit weight of $101\mathrm{.}6$ pcf and bulk $($dry$)$ specific gravity of $2\mathrm{.}605.(10$ points$)$

A pipe is to be installed underground on a bed of aggregate $8$ in$.$ thick. The entire weight on the aggregate from the pipe and soil above the pipe is $1750$ lbs $./$lineal ft $.$ of pipe. What is the pressure on the soil if $=42?(15$ points$)$

A ready$-$mix producer is contacted by a customer needing a PCC mix having a design compressive strength of $f^{\text{'}}=5$ksi. The ready$-$mix producer has compressive strength data for a similar mix collected over a period of $6$ months; however, the data is also limited $(n=22$ tests$).$ What $f^{\text{'}}$ cr should the ready$-$mix producer target for design if the mixture standard deviation is $302$ psi? $(10$ points$)$

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