A researcher is estimating the mean income of residents in a large city. She collects a random sample of 25 people. The resulting 95% confidence interval is ($26700,$35400). Which of the following conclusions are valid? (i) We are 95% confident that the mean income for all residents of this city is between $26700 and $35400. (ii) 95% of the residents of this city have an income between $26700 and $35400. (iii) No conclusion can be drawn.