1.A random sample of students was collected. Each student reported their typical time to run one mile and whether or not they were an athlete. We want to know if the average time to run a mile is different for athletes versus non-athletes. Which confidence interval is best suited to this situation? A. One mean (sigma known) B. One mean (sigma unknown ) C. Mean of difference, using dependent samples (paired data) D. Difference of two means (independent samples) E. Several means (ANOVA) F. One proportion G. Difference of two proportions H. Ch-square test for independence I. Slope of the regression line Part 2: A random sample of 2500 adults were selected from the state of Idaho. For each person in the sample, we recorded their gender and their income level(poor, near poor, low income, middle and high). We want to test if there is a difference in income levels between men and women. What hypothesis should we use? A. One mean (sigma known) B. One mean (sigma unknown ) C. Mean of difference, using dependent samples (paired data) D. Difference of two means (independent samples) E. Several means (ANOVA) F. One proportion G. Difference of two proportions H. Ch-square test for independence I. Slope of the regression line Part 3: A research in New York would like to study the relationship between a person's height (measured in inches) and their life expectancy(years they will live). She takes a random sample of death records in her state and records the height of each person and how long they lived. A confidence interval for which of the following would be most appropriate? A. One mean (sigma known) B. One mean (sigma unknown ) C. Mean of difference, using dependent samples (paired data) D. Difference of two means (independent samples) E. Several means (ANOVA) F. One proportion G. Difference of two proportions H. Ch-square test for independence I. Slope of the regression line