Suppose that a student is working on a statistics project using data on pulse rates collected from a random sample of 100 students from her college. She finds a 95% confidence interval for mean pulse rate to be (65.5, 71.8). Discuss how each of the statements below would indicate an improper interpretation of this interval.
(a) I am 95% sure that all students will have pulse rates between 65.5 and 71.8 beats per minute.
(b) I am 95% sure that the mean pulse rate for this sample of students will fall between 65.5 and 71.8 beats per minute.
(c) I am 95% sure that the confidence interval for the average pulse rate of all students at this college goes from 65.5 to 71.8 beats per minute.
(d) I am sure that 95% of all students at this college will have pulse rates between 65.5 and 71.8 beats per minute.
(e) I am 95% sure that the mean pulse rate for all US college students is between 65.5 and 71.8 beats per minute.
(f) Of the mean pulse rates for students at this college, 95% will fall between 65.5 and 71.8 beats per minute.
(g) Of random samples of this size taken from students at this college, 95% will have mean pulse rates between 65.5 and 71.8 beats per minute.