Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies.12 Here are two of the six: Readers are supposed to understand that, for example, the 56 women in the first study had x 16,177 and s 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study: (a) State hypotheses in terms of the population means for men (M) and women (F). (b) Find the two-sample t statistic. (c) What degrees of freedom does Optio

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Equip male and female students with a small device that secretly records sound for a random 30 seconds during each 12.5-minute period over two days. Count the words each subject speaks during each recording period, and from this, estimate how many words per day each subject speaks. The published report includes a table summarizing six such studies.12 Here are two of the six: Readers are supposed to understand that, for example, the 56 women in the first study had x 16,177 and s 7520. It is commonly thought that women talk more than men. Does either of the two samples support this idea? For each study: (a) State hypotheses in terms of the population means for men (M) and women (F). (b) Find the two-sample t statistic. (c) What degrees of freedom does Option 2 use to get a conservative P-value? (d) Compare your value of t with the critical values in Table C. What can you say about the P-value of the test? (e) What do you conclude from the results of these two studies?
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