Suppose that a student is working on a statistic 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). Explain
how each of the statement below would indicate an improper interpretation of
this interval
a) I am 95% sure that all students will have pulse rates between 65.6 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 in
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 is taken from students at this college, 95%
will have mean pulse rates between 65.5 and 71.8 beats per minute.