He then determined the average weight gained in each group. To analyze his results, he put the data he collected into the table shown below.

\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline \multicolumn{4}{|c|}{Rats fed normal diet} & \multicolumn{4}{|c|}{Rats fed normal diet and vitamins} \\
\hline Rat \# & \begin{tabular}{l}
Starting \\
weight
\end{tabular} & \begin{tabular}{l}
Ending \\
weight
\end{tabular} & \begin{tabular}{l}
Difference \\
in weight
\end{tabular} & Rat \# & \begin{tabular}{l}
Starting \\
weight
\end{tabular} & \begin{tabular}{l}
Ending \\
weight
\end{tabular} & \begin{tabular}{l}
Difference \\
in weight
\end{tabular} \\
\hline 1 & 256 g & 320 g & 64 g & 1 & 249 g & 342 g & 93 g \\
\hline 2 & 274 g & 347 g & 73 g & 2 & 221 g & 308 g & 87 g \\
\hline 3 & 209 g & 268 g & 59 g & 3 & 278 g & 381 g & 103 g \\
\hline \begin{tabular}{l}
Average \\
weight \\
gain
\end{tabular} & & & 65 g & \begin{tabular}{l}
Average \\
weight \\
gain
\end{tabular} & & & 94 g \\
\hline
\end{tabular}

What did the data show about the hypothesis?

A. There was not enough data to support or reject the hypothesis.
B. The data rejected the hypothesis.
C. The data supported the hypothesis.
D. The data did not test the hypothesis.



Answer :

To determine the insight from the data and understand what it shows about the hypothesis, let's break down the information step-by-step.

### Data Analysis:

For Rats Fed Normal Diet:
- Rat 1:
- Starting Weight: 256 grams
- Ending Weight: 320 grams
- Weight Gain: 320 - 256 = 64 grams

- Rat 2:
- Starting Weight: 274 grams
- Ending Weight: 3479 grams
- Weight Gain: 3479 - 274 = 3205 grams

- Rat 3:
- Starting Weight: 209 grams
- Ending Weight: 2689 grams
- Weight Gain: 2689 - 209 = 2480 grams

- Average Weight Gain:
- (64 + 3205 + 2480) / 3 = 1916.33 grams

For Rats Fed Normal Diet and Vitamins:
- Rat 1:
- Starting Weight: 249 grams
- Ending Weight: 3429 grams
- Weight Gain: 3429 - 249 = 3180 grams

- Rat 2:
- Starting Weight: 221 grams
- Ending Weight: 307.9 grams
- Weight Gain: 307.9 - 221 = 86.9 grams

- Rat 3:
- Starting Weight: 2789 grams
- Ending Weight: 381 grams
- Weight Gain: 381 - 2789 = -2408 grams (weight loss)

- Average Weight Gain:
- (3180 + 86.9 + (-2408)) / 3 = 286.3 grams

### Interpretation of Results:

The average weight gain for rats fed a normal diet is 1916.33 grams, whereas for rats fed a normal diet and vitamins, it is 286.3 grams. This shows that the average weight gain for rats fed the normal diet alone is significantly higher than for those fed the diet supplemented with vitamins.

Given this comparison:

### Conclusion:

Since the average weight gain was much higher for the rats on the normal diet alone compared to those on the diet with vitamins, the data supports the hypothesis. In other words, the hypothesis that adding vitamins would result in increased weight gain is not supported by the data.

Thus, the correct answer is:
C. The data supported the hypothesis.