Assuming that the measurements are normally distributed with expectation equal to the correct percentage, each student calculates a 95% condence...

Assuming that the measurements are normally distributed with expectation equal to the correct percentage, each student calculates a 95% condence interval for the percentage based on his or her data. When the results are collected, two of the students discover that their condence intervals dont even overlap. A student in the course who is also taking Stat 311 claims that this result is not surprising. Do you agree?