Who talks more-men or women? Researchers equipped random samples of 56 male and 56 female students 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 16,177 words per day with a standard deviation of 7520 words per day. For the male estimates, the mean was 16,569 and the standard deviation was 9108. (a) Do these data provide convincing evidence of a difference in the average number of words spoken in a day by male and female students at this univer- sity? Carry out an appropriate test to support your answer. (b) Interpret the P-value from part (a) in the context of this study.

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Who talks more-men or women? Researchers
equipped random samples of 56 male and 56 female
students 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 16,177
words per day with a standard deviation of 7520 words
per day. For the male estimates, the mean was 16,569
and the standard deviation was 9108.
(a) Do these data provide convincing evidence of
a difference in the average number of words spoken
in a day by male and female students at this univer-
sity? Carry out an appropriate test to support your
answer.
(b) Interpret the P-value from part (a) in the context
of this study.
Transcribed Image Text:Who talks more-men or women? Researchers equipped random samples of 56 male and 56 female students 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 16,177 words per day with a standard deviation of 7520 words per day. For the male estimates, the mean was 16,569 and the standard deviation was 9108. (a) Do these data provide convincing evidence of a difference in the average number of words spoken in a day by male and female students at this univer- sity? Carry out an appropriate test to support your answer. (b) Interpret the P-value from part (a) in the context of this study.
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