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\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
& & & \multicolumn{3}{|c|}{[tex]$\frac{\text { Mass of }}{\text { After } 3 \text { weeks }}$[/tex]} & \multirow{3}{}{\begin{tabular}{l}
Average \\
mass of \\
rats (g)
\end{tabular}} & \multirow{2}{}{\begin{tabular}{l}
Average Oxygen \\
consumption \\
(mL/kg/min)
\end{tabular}} \\
\hline
\multirow{3}{}{ GROUP } & \multirow{3}{}{\begin{tabular}{l}
DIET \\
[tex]$(X, Y$[/tex] \\
or Z)
\end{tabular}} & [tex]$\frac{\text { Initial }}{\text { Average }}$[/tex] & & & RAT & & \\
\hline
& & \begin{tabular}{l}
Average \\
mass of \\
the three
\end{tabular} & \begin{tabular}{l}
RAT \\
1 (g)
\end{tabular} & \begin{tabular}{l}
2 (g)
\end{tabular} & [tex]$3(g)$[/tex] & & 4 \\
\hline
& & \begin{tabular}{l}
the three \\
rats (g)
\end{tabular} & & & 322 & & [tex]$\frac{10}{37}$[/tex] \\
\hline
\begin{tabular}{l}
[tex]$A$[/tex]
\end{tabular} & Diet [tex]$X$[/tex] & \begin{tabular}{l}
319
\end{tabular} & 305 & 315 & 308 & 314 & 2.7 \\
\hline
\begin{tabular}{l}
[tex]$B$[/tex] \\
\end{tabular} & Diet [tex]$Y$[/tex] & \begin{tabular}{l}
\begin{tabular}{|l|}
\hline 320 \\
\hline 318 \\
\hline
\end{tabular}
\end{tabular} & 345 & 338 & 337 & 340 & 3.1 \\
\hline
\end{tabular}

1.1 State the sample size of this investigation.

1.2 Calculate the average mass of (i), (ii) and (iii).

1.3 Which group has the highest average:
a) Oxygen consumption
b) Average mass after three weeks

1.4 What effect does an increase in thyroxin have on oxygen consumption?

1.5 Which group ( [tex]$A$[/tex], [tex]$B$[/tex] or [tex]$C$[/tex] ) is the control in this investigation?

1.6 Identify the diet [tex]$(X, Y$[/tex] or [tex]$Z$[/tex] ) used for:
a) Group B
b) Group C



Answer :

GinnyAnswer
Let's go through each part of the question step by step.

### 1.1 State the sample size of this investigation.
The sample size refers to the total number of subjects (rats) included in the investigation. In this case, the sample size is 9, as there are three groups, each with an average mass calculated from three rats.

Answer: The sample size of this investigation is 9.

### 1.2 Calculate the average mass of (i), (ii), and (iii).
Here, we need to state the average mass of groups A, B, and C after three weeks.

- Group A:
Average Mass = [tex]\(\frac{305 + 315 + 308}{3} = 309.33\)[/tex] grams (rounded to two decimal places)

- Group B:
Average Mass = [tex]\(\frac{345 + 338 + 337}{3} = 340.00\)[/tex] grams

- Group C:
Average Mass = [tex]\(\frac{322 + 320 + 318}{3} = 320.00\)[/tex] grams

Answer:
- (i) Group A: 309.33 grams
- (ii) Group B: 340.00 grams
- (iii) Group C: 320.00 grams

### 1.3 Which group has the highest average:
a) Oxygen consumption

The group with the highest average oxygen consumption is Group A with an oxygen consumption rate of 2.7 mil/kg/min.

Answer: Group A has the highest average oxygen consumption.

b) Average mass after three weeks

Among the average masses calculated:
- Group A: 309.33 grams
- Group B: 340.00 grams
- Group C: 320.00 grams

The highest average mass after three weeks is 340.00 grams for Group B.

Answer: Group B has the highest average mass after three weeks.

### 1.4 What effect does an increase in thyroxin have on oxygen consumption?

An increase in thyroxin generally stimulates metabolism, which leads to an increase in oxygen consumption.

Answer: An increase in thyroxin increases oxygen consumption.

### 1.5 Which group (A, B, or C) is the control in this investigation?

Given the context, the control group is often the one that receives no treatment or has a standard diet to compare the effects of other variables. Here, Group A is identified as the control group.

Answer: Group A is the control group in this investigation.

### 1.6 Identify the diet (X, Y, or Z) used for:
a) Group B
b) Group C

Diet assignments from the information given are as follows:
- Group A is associated with Diet X.
- Group B is associated with Diet Y.
- Group C is associated with Diet Z.

Answer:
a) Group B was given Diet Y.
b) Group C was given Diet Z.

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