Researchers want to check whether women really speak more than men per day. During the day conversations of 873 adults selected randomly were recorded and then analyzed for the number of words. Researchers report that the mean number of words per day for the sample of women was 15,734 and the mean number for the sample of men was 13,813. The resulting data are given in the accompanying table.

Construct and interpret a 95% confidence interval estimate for the difference in mean number of words per day for women and men.
A)The confidence interval is (1,700;2,142) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,700 and 2,142
B)The confidence interval is (1,574;2,268) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,574 and 2,268.
C)The confidence interval is (1,657;2,185) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,657 and 2,185.
D) The confidence interval is (1,787;2,055) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,787 and 2,055.
E)The confidence interval is (1,915;1,927) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,915 and 1,927.

Question

Researchers want to check whether women really speak more than men per day. During the day conversations of 873 adults selected randomly were recorded and then analyzed for the number of words. Researchers report that the mean number of words per day for the sample of women was 15,734 and the mean number for the sample of men was 13,813. The resulting data are given in the accompanying table.
 ​
Construct and interpret a 95% confidence interval estimate for the difference in mean number of words per day for women and men.
A)The confidence interval is (1,700;2,142) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,700 and 2,142 
B)The confidence interval is (1,574;2,268) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,574 and 2,268. 
C)The confidence interval is (1,657;2,185) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,657 and 2,185. 
D) The confidence interval is (1,787;2,055) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,787 and 2,055. 
E)The confidence interval is (1,915;1,927) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,915 and 1,927.

Quizplus · Accepted Answer

The Answer of Researchers want to check whether women really speak more than men per day. During the day conversations of 873 adults selected randomly were recorded and then analyzed for the number of words. Researchers report that the mean number of words per day for the sample of women was 15,734 and the mean number for the sample of men was 13,813. The resulting data are given in the accompanying table.
 ​
Construct and interpret a 95% confidence interval estimate for the difference in mean number of words per day for women and men.
A)The confidence interval is (1,700;2,142) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,700 and 2,142 
B)The confidence interval is (1,574;2,268) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,574 and 2,268. 
C)The confidence interval is (1,657;2,185) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,657 and 2,185. 
D) The confidence interval is (1,787;2,055) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,787 and 2,055. 
E)The confidence interval is (1,915;1,927) You can be 95% confident that the actual difference in mean number of words per day for women and men is between 1,915 and 1,927.

Researchers Want to Check Whether Women Really Speak More Than