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#### Who talks more - men or women? Researchers equipped random samples of 56 males and 56 females from a large university with a small device that secretly records sound for a random 30 seconds during each 12

###### Math

Who talks more - men or women? Researchers equipped random samples of 56 males and 56 females from a large university with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Then they counted the number of words spoken by each subject during each recording period and, from this, estimated how many words per day each subject speaks. The female estimates had a mean of 16200 per day (words) with a standard deviation of 7520 per day (words). For the male estimates, the mean was 16600 and the standard deviation was 9100. Do these data provide convincing evidence that females, on average, speak less than males? Use PHANTOMS and conduct an appropriate hypothesis test (females - males).

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