43) The investigators expected the control group to adjust their breeding date t

Question

43) 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):

Control 4.6 2.3 7.7 6.0 4.6 -1.2
Complemented 15.5 11.3 5.4 16.5 11.3 11.4 7.7

Carry out a t test and show that it leads to the quoted conclusion.

Explanation / Answer

Control: n1=6, xbar1=4, s1= 3.11
Complemented: n2=7, xbar2= 11.3, s2=3.93

The test hypothesis is

t=(xbar1 - xbar2)/[s1^2/n1 + s2^2/n2]

=(4-11.3)/sqrt(3.11^2/6 + 3.93^2/7)

= -3.74

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