Step 1 :Given the number of words spoken by males and females, we first calculate the mean difference between the two sets of data. The mean difference is -2142.75 words.
Step 2 :We then calculate the standard deviation of the differences, which is 10055.99 words.
Step 3 :Next, we calculate the standard error of the mean difference, which is 3555.33 words.
Step 4 :We use a z-score of 1.96 for a 95% confidence level.
Step 5 :We calculate the lower and upper bounds of the confidence interval by subtracting and adding the product of the z-score and the standard error from the mean difference, respectively. The lower bound is -9111 words and the upper bound is 4825.57 words.
Step 6 :Rounding to the nearest integer, the upper bound becomes 4826 words.
Step 7 :Final Answer: The confidence interval is \(\boxed{-9111}\) word(s) \(<\mu_{d}<\boxed{4826}\) word(s).