Check the following data then by using R programming language do the following:

Q1)

We hypothesis that blood compression is different between male vs female (in the group that received placebo, i.e. Dosage = 0). Assuming normality and homoscedasticity, can you test this hypothesis using statistical hypothesis framework

Assess whether the previous assumptions have been meet for the test.

We hypothesis that blood compression is higher in the group receiving Dosage = 10 compared to the control (Dosage =0). Can you test this hypothesis assuming heteroscedasiticy

Assess the previous test assumption

We hypothesis that blood compression is different between the different doses (ignoring the gender). Can you perform comparison between the different groups, after assessing the assumptions and performing post-hoc testing.

Show the output of each process and explain it

\begin{tabular}{|l|l|l|l|} \hline 26 & 5 & 13 & 0 \\ \hline 27 & 5 & 7 & 0 \\ \hline 28 & 5 & 7 & 0 \\ \hline 29 & 5 & 9 & 1 \\ \hline 30 & 5 & 10 & 1 \\ \hline 31 & 10 & 24 & 0 \\ \hline 32 & 10 & 9 & 0 \\ \hline 33 & 10 & 15 & 0 \\ \hline 34 & 10 & 18 & 17 \\ \hline 35 & 10 & 17 & 1 \\ \hline 36 & 10 & 1 \\ \hline 39 & 10 & 26 & 1 \\ \hline 37 & 10 & 11 & \\ \hline \hline 8 & 10 & 17 & 10 \\ \hline \end{tabular}