hello can you help me solving it and use matlab to calculate. thank you in advance.

Problem $4$

The way proteins adsorb onto the surface of implant materials can be important for control of cell

attachment. In some cases, such as a dental implant, it is desirable to have proteins adsorb to support

attachment of bone cells to the implant to help hold the implant in place. In other cases such as in an

artificial blood vessel, protein adsorption leading to attachment of cells is not desirable since this can

lead to vessel occlusion or blockage.

Below are data on the amount of albumin, a blood protein often used to model protein adsorption, that

adsorbed to two different test biomaterials, polyethylene $($PE$),$ and polydimethylsiloxane $($PDMS$,$ aka

silicone elastomer$).$

a$)$ State $H_0$ and $H_a$ for this study; choose a level of significance; indicate whether $H_a$ is $1-$sided or $2-$

sided, and explain why. Use appropriate language for hypotheses.

b$)$ What are your assumptions regarding normality of the sampling distribution of these two samples?

Make reference to the CLT rules. Make all figures competent according to Competency Handout $1.$

c$)$ Perform an appropriate t$-$test. Explain why you chose that test. State your p$-$value and conclusion

with respect to level of significance you chose in part a$).$ Use appropriate language for interpreting a

test of significance.

d$)$ Calculate a confidence interval for the difference between two means and interpret it relative to the

conclusion from your test of significance as reported in part c$).$ Use appropriate language for

interpreting a confidence interval.

Table $4.$ Protein adsorption $)$ of polyethylene $($PE$)$ and polydimethylsiloxane $($PDMS$).$