Women stereotypically talk more than men do and researchers wondered how much more. Suppose a study attempted to determine the difference in the mean number of words spoken by men or women per day. The results of the study are summarized in the table. Group Population mean Sample size Sample mean Sample standard deviation Standard error estimate women ?w (unknown) ?w= 36 ?⎯⎯⎯w= 14704 ?w=6215 SEw=1036 men ?m (unknown) ?m= 24 ?⎯⎯⎯m= 15022 ?m=7864 SEm=1605   df=41.4224 Assume the conditions are satisfied for a two‑sample ?‑confidence interval. First, determine the positive critical value, ?, for a 95% confidence interval to estimate how many more words women speak each day on average compared to men, ?w−?m. Give your answer precise to at least three decimal places. Determine lower and upper limits of a 95% confidence interval for how many more words speak each day on average compared to men. A negative number would indicate how many fewer words women speak each day on average compared to men. Give your answers precise to the nearest integer number of words.   ?=

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Women stereotypically talk more than men do and researchers wondered how much more. Suppose a study attempted to determine the difference in the mean number of words spoken by men or women per day. The results of the study are summarized in the table.

Group Population
mean
Sample
size
Sample
mean
Sample standard
deviation
Standard error
estimate
women ?w (unknown) ?w= 36 ?⎯⎯⎯w= 14704 ?w=6215 SEw=1036
men ?m (unknown) ?m= 24 ?⎯⎯⎯m= 15022 ?m=7864 SEm=1605

 

df=41.4224

Assume the conditions are satisfied for a two‑sample ?‑confidence interval. First, determine the positive critical value, ?, for a 95% confidence interval to estimate how many more words women speak each day on average compared to men, ?w−?m.

Give your answer precise to at least three decimal places.

Determine lower and upper limits of a 95% confidence interval for how many more words speak each day on average compared to men. A negative number would indicate how many fewer words women speak each day on average compared to men. Give your answers precise to the nearest integer number of words.
 
?=
 
 
 
 
 
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