Matthew nailed it: it is not so much the words we use when praying, as it is the emotion behind the words. Two individuals with a deep connection will therefore benefit more from prayer from each other than they would from an arbitrarily large sample of strangers. Since the study limited the individuals praying to complete strangers, there clearly will be no statistical difference between the two groups.
However, if you happen to know of other studies the delve into the area of prayer between highly connected individuals, feel free to let us know. I personally would like to see the results of such a study.
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