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
women
men.
Population
mean
t =
Hw (unknown)
Hm (unknown)
Sample
size
Sample
mean
lower limit:
ny = 56
Xw
n = 56 x = 16576
= 18443
Sample standard
deviation
Sw=7460
Sm=7871
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, Hw-m-
Give your answer precise to at least three decimal places.
Standard error
estimate
SE = 997
SE = 1052
Determine lower and upper limits of a 90% 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.
upper limit: