Discuss the following:
Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds) has passed. Forty student yielded a sample mean of 61.8 seconds. Assuming that the standard deviation = 8.1 seconds, construct and interpret a 99% confidence interval estimate of the population mean of all students.
What is the 99% confidence interval for the population mean ?
______ < mean < _____ (Type integers or decimals rounded to one decimal place as needed)
Based on the result, is it likely that the students' estimates have a mean that is reasonably close to sixty seconds?
a. Yes, because the confidence interval includes sixty seconds
b. No, because the confidence interval does not include sixty seconds.
c. Yes, because the confidence interval does not include sixty seconds.
d. No, because the confidence interval includes sixty seconds.