18.43 Did the treatment have an effect? The investigators expected the control group to adjust their breeding date the next year, whereas the well-fed supplemented group had no reason to change. The report continues: "but in the following year food-supplemented females were more out of synchrony with the caterpillar peak than the controls." Here are the data (days behind the caterpillar peak): 2.3 11.3 7.7 6.0 4.6 5.4 16.5 11.3 -1.2 11.4 7.7 Control 4.6 Supplemented 15.5 Carry out a t test and show that it leads to the quoted conclusion.

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### Did the Treatment Have an Effect?

The investigators anticipated that the control group would adjust their breeding date the following year, while the well-fed supplemented group was not expected to change. The report noted: "But in the following year, food-supplemented females were more out of synchrony with the caterpillar peak than the controls." The data below shows the number of days behind the caterpillar peak:

| Group         | Days Behind Caterpillar Peak |
|---------------|------------------------------|
| Control       | 4.6, 2.3, 7.7, 6.0, 4.6, -1.2 |
| Supplemented  | 15.5, 11.3, 5.4, 16.5, 11.3, 11.4, 7.7 |

**Instructions:** Carry out a t-test and demonstrate that it leads to the quoted conclusion.
Transcribed Image Text:### Did the Treatment Have an Effect? The investigators anticipated that the control group would adjust their breeding date the following year, while the well-fed supplemented group was not expected to change. The report noted: "But in the following year, food-supplemented females were more out of synchrony with the caterpillar peak than the controls." The data below shows the number of days behind the caterpillar peak: | Group | Days Behind Caterpillar Peak | |---------------|------------------------------| | Control | 4.6, 2.3, 7.7, 6.0, 4.6, -1.2 | | Supplemented | 15.5, 11.3, 5.4, 16.5, 11.3, 11.4, 7.7 | **Instructions:** Carry out a t-test and demonstrate that it leads to the quoted conclusion.
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