Researchers presented chimpanzee subjects with food outside their cage that they could bring within reach by pulling two ropes, one attached to each end of the food tray. If a chimp pulled only one rope, the rope came loose and the food was lost. Another chimp was available as a partner, but only if the subject unlocked a door joining two cages.  The same eight chimpanzee subjects faced this problem in two versions: the two ropes were close enough together that one chimp could pull both (no collaboration needed), or the two ropes were too far apart for one chimp to pull both (collaboration needed). The data shows how often in 24 trials for each version each subject opened the door to recruit another chimp as partner.  (a) Is there evidence that chimpanzees recruit partners more often when a problem requires collaboration? Hint: Let m be the mean difference (collaboration required minus not) in the number of times a subject recruited a partner. The null hypothesis is that the need for collaboration has no effect on how often partners are recruited.

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Researchers presented chimpanzee subjects with food outside their cage that they could bring within reach by pulling two ropes, one attached to each end of the food tray. If a chimp pulled only one rope, the rope came loose and the food was lost. Another chimp was available as a partner, but only if the subject unlocked a door joining two cages.  The same eight
chimpanzee subjects faced this problem in two versions: the two ropes were close enough together that one chimp could pull both (no collaboration needed), or the two ropes were too far apart for one chimp to pull both (collaboration needed). The data shows how often in 24 trials for each version each subject opened the door to recruit another chimp as partner. 


(a) Is there evidence that chimpanzees recruit partners more often when a problem requires collaboration?
Hint: Let m be the mean difference (collaboration required minus not) in the number of times a subject recruited a
partner. The null hypothesis is that the need for collaboration has no effect on how often partners are recruited.

(b) Find a 95% confidence interval for the mean difference (collaboration required minus not) in the number
of times a subject recruited a partner.

 

Chimpanzee Collaboration Needed YES Collaboration Needed NO Differences Yes - No
Namuiska 16 0 16
Kalema 16 1 15
Okech 23 5 18
Baluku 19 3 16
Umugenzi 15 4 11
Indi 20 9 11
Bili 24 16 8
Asega 24 20 4
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