Answer to Question #105035 in Statistics and Probability for Bayrkhuu

Question

7.The researchers measured the concentration of alcohol in the blood (CSF) after a short use of 30 ml of ethanol (which is equivalent to 2 standard drinks) of eight adult men. The table shows the mean (mg / ml) CKD of 8 men.
t (hours) CSK t (hours) CSK
0 0 1.75 0.22
0.2 0.25 2.0 0.18
0.5 0.41 2.25 0.15
0.75 0.40 2.5 0.12
1.0 0.33 3.0 0.07
1.25 0.29 3.5 0.03
1.5 0.24 4.0 0.01
(a) Using the above measurements, outline the CSC graph for a time-dependent function.
(b) Using the graph, explain the effects of alcohol by time.

Answer 1

$$\def\arraystretch{1.5} \begin{array}{c:c:c:c} t(hours) & CSK & t(hours) & CSK\\ \hline 0 & 0 & 1.75 & 0.22 \\ \hdashline 0.2 & 0.25 & 2.0 & 0.18 \\ \hdashline 0.5 & 0.41 & 2.25 & 0.15 \\ \hdashline 0.75 & 0.40 & 2.5 & 0.12 \\ \hdashline 1.0 & 0.33 & 3.0 & 0.07 \\ \hdashline 1.25 & 0.29 & 3.5 & 0.03 \\ \hdashline 1.5& 0.24 & 4.0 & 0.01 \end{array}$$

(a) To sketch the graph first take the $t-$values in the $x-$axis and $CSK-$values in the $y-$axis.

Then plot the points given in the table and join them by a curve.

(b) The concentration of alcohol in the blood peaks about 0.5 hour after consumption. It then declines in a more or less linear manner for the next 3.5 hours.