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\begin{tabular}{|c|c|c|c|c|c|c|c|}
\hline
[tex]$2$[/tex] & [tex]$274 \, g$[/tex] & [tex]$347 \, g$[/tex] & [tex]$73 \, g$[/tex] & [tex]$2$[/tex] & [tex]$221 \, g$[/tex] & [tex]$307 \, g$[/tex] & [tex]$86 \, g$[/tex] \\
\hline
[tex]$3$[/tex] & [tex]$209 \, g$[/tex] & [tex]$268 \, g$[/tex] & [tex]$59 \, g$[/tex] & [tex]$3$[/tex] & [tex]$278 \, g$[/tex] & [tex]$381 \, g$[/tex] & [tex]$103 \, g$[/tex] \\
\hline
\begin{tabular}{c}
Average \\
weight \\
gain
\end{tabular} & & & [tex]$65 \, g$[/tex] &
\begin{tabular}{c}
Average \\
weight \\
gain
\end{tabular} & & & [tex]$94 \, g$[/tex] \\
\hline
\end{tabular}

What did the data show about the hypothesis?

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



Answer :

GinnyAnswer
To determine the accuracy of the hypothesis, we consider the weight gains of two groups on Day 2 and Day 3, comparing these gains to the average weight gain for each group.

Given Data:
1. Group 1:
- Day 2 Weight Gain: 73g
- Day 3 Weight Gain: 59g
- Average Weight Gain: 65g

2. Group 2:
- Day 2 Weight Gain: 86g
- Day 3 Weight Gain: 103g
- Average Weight Gain: 94g

Calculations:

1. Group 1 Comparison:
- Day 2 Gain (73g) vs. Average Gain (65g): 73g > 65g
- Day 3 Gain (59g) vs. Average Gain (65g): 59g < 65g

Since for Group 1, 73g is greater than 65g and 59g is less than 65g, the data for Group 1 does not consistently fall below the average weight gain. Therefore, the hypothesis for Group 1 is not supported.

2. Group 2 Comparison:
- Day 2 Gain (86g) vs. Average Gain (94g): 86g < 94g
- Day 3 Gain (103g) vs. Average Gain (94g): 103g > 94g

Similarly, for Group 2, 86g is less than 94g and 103g is greater than 94g. Therefore, the data for Group 2 does not consistently exceed the average weight gain. So, the hypothesis for Group 2 is also not supported.

Therefore, upon examining the given data, we find that for both group 1 and group 2, the weight gain measurements do not align with the stated hypothesis criteria. Thus, the data does not support the hypothesis for either group.

Conclusion:

The appropriate answer based on this data is:

C. The data rejected the hypothesis.

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