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 μw (unknown) nw= 56 x¯w= 18443 sw=7460 SEw=997 men μm (unknown) nm= 56 x¯m= 16576 sm=7871 SEm=1052   df=109.6851   Assume the conditions are satisfied for a two‑sample t‑confidence interval. First, determine the positive critical value, t, for a 90% confidence interval to estimate how many more words women speak each day on average compared to men, μw−μm. Give your answer precise to at least three decimal places. t = what are the upper and lower limits?

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