Question $1$ and $2$ please. Thank you

table$[[$Mix $1],[$Mass $($g$),$Compress $($psi$),$Tensile $($psi$)],[192\mathrm{.}8,857,170\mathrm{.}5],[189\mathrm{.}4,814,165\mathrm{.}6],[189\mathrm{.}6,688,193\mathrm{.}1],[181\mathrm{.}4,777,144\mathrm{.}1],[188\mathrm{.}2,,163\mathrm{.}3],[$Mix $2],[$Mass $($g$),$Compress $($psi$),$Tensile $($psi$)],[171\mathrm{.}0,667,160\mathrm{.}7],[177\mathrm{.}3,649,159\mathrm{.}5],[175\mathrm{.}2,792,124\mathrm{.}1],[177\mathrm{.}3,673,145\mathrm{.}1],[176\mathrm{.}3,750,],[$Mix $3],[$Mass $($g$),$Compress $($psi$),$Tensile $($psi$)],[183\mathrm{.}8,675,139\mathrm{.}2],[175\mathrm{.}9,738,191\mathrm{.}4],[175\mathrm{.}8,633,181\mathrm{.}0],[182\mathrm{.}0,773,119\mathrm{.}8],[176\mathrm{.}2,690,],[$Mix $4],[$Mass $($g$),$Compress $($psi$),$Tensile $($psi$)],[188\mathrm{.}0,1057,214\mathrm{.}7],[183\mathrm{.}8,1142,175\mathrm{.}8],[194\mathrm{.}5,1334,208\mathrm{.}4],[182\mathrm{.}8,1336,196\mathrm{.}9],[183\mathrm{.}1,973,163\mathrm{.}9],[$Mix $5],[$Mass $($g$),$Compress $($psi$),$Tensile $($psi$)],[168\mathrm{.}8,1047,200\mathrm{.}2],[187\mathrm{.}8,1095,212\mathrm{.}4],[174\mathrm{.}4,1028,215\mathrm{.}3],[184\mathrm{.}6,1189,257\mathrm{.}0],[171\mathrm{.}5,591,210\mathrm{.}2]]$

Prepare a nice bar chart comparing the average compressive and tensile strength of each mix. Plot the average value along with a $95\%$ confidence interval of this average value. $($Similar to the one you made in Activity $8.)$

Separate modeling efforts indicated that the ideal mix must have a compressive strength greater than $800$ psi. Using the hypothesis testing framework, write null and alternative hypotheses and then test each mix. Report the hypothesis testing results, along with the $p-$value.

Additionally, the ideal mix must have a tensile strength greater than $175$ Repeat step $2$ now testing the tensile strength

Based on your results from $2$ and $3$ are there any mixes that satisfy both criteria as determined through hypothesis testing with a $p-$value less than $0\mathrm{.}05?$

Answer the following questions based on the above analysis

$1$

$2$ points

Modeling efforts indicated that the ideal mix must have a compressive strength greater than $800.$ Using the hypothesis testing framework described in the lecture, write null and alternative hypotheses. Choose the correct null and alternative hypothesis pair from the choices below.

$H_0$:$800$

$H_A$:$>800$

$H_0$:$>800$

$H_A$:$800$

$H_0$:$800$

$H_A$:$=800$

$H_0$:$=800$

$H_A$:$800$

$2$

$2$ points

Report the p$-$value for your hypothesis testing of the compressive strength for mix $1.$

Type your answer.

CamScanne