Assignment:
Confidence Interval for Word Counts from Men and Women Using the sample data given shown below, construct a 95% confidence interval estimate of the difference between the mean number of words spoken by men and the mean number of words spoken by women.
Example
Are Men and Women Equal Talkers? A headline in USA Today proclaimed that "Men, women are equal talkers." That headline referred to a study of the numbers of words that samples of men and women spoke in a day. Given below are the results from the study, which are included in Data Set 8 in Appendix B (based on "Are Women Really More Talkative Than Men?" by Mehl, et al., Science, Vol. 317, No. 5834). Use a 0.05 significance level to test the claim that men and women speak the same mean number of words in a day. Does there appear to be a difference?
Number of Words Spoken in a Day
|
Men
|
Women
|
|
n1
|
186
|
n2
|
210
|
|
x1
|
15,668.5
|
x2
|
16,215.0
|
|
s1
|
8632.5
|
s2
|
7301.2
|