Do women spend more time talking on the phone than men? a student collects data from students at her university and reports a
90% confidence interval for mu(men)minusmu(women) to be (minus150,30), where mu(men) is the mean number of minutes per month for men. based on this confidence interval, can it be concluded that mu(women) is higher than mu(men)?
Remember, that as used in statistics the Confidence intervals <em>only</em> ascertain the extent to which a sample is uncertainty or certainty, that is, the student report of a 90% confidence interval is just a probability the university population of men and women surveyed would fall under this range of value (minus 150,30).
Therefore, it cannot be concluded that mu(women) is higher than mu(men.