Indicate whether each one is a correct interpretation or not. 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% confident that the true mean pulse rate of students at this college is between 65.5 and 71.8 c) Of the mean pulse rates for students at this college, 95% will fall between 65.5 and 71.8 beats per minute. d) One interpretation I sometimes hear from students is “I am 95% sure that my mean pulse rate for this sample of students will fall between 65.5 and 71.8 beats per minute.” This is incorrect. How confident should you be that the mean for the sample you got falls between 65.5 and 71.8 beats per minute? (Think about how a confidence interval is constructed.)
7. 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).
Below are some statements which attempt to interpret this confidence interval.
Indicate whether each one is a correct interpretation or not.
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% confident that the true mean pulse rate of students at this college is
between 65.5 and 71.8
c) Of the mean pulse rates for students at this college, 95% will fall between 65.5 and
71.8 beats per minute.
d) One interpretation I sometimes hear from students is “I am 95% sure that my
mean pulse rate for this sample of students will fall between 65.5 and 71.8 beats per
minute.” This is incorrect. How confident should you be that the mean for the sample
you got falls between 65.5 and 71.8 beats per minute? (Think about how a confidence
interval is constructed.)
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