A student measures g, the acceleration of gravity, carefully and repeatedly, and takes a final measurement of 9.5 m/s2. His measurements were normally distributed, with the histogram center at the accepted value of 9.8 m/s2 and with width 0.1.
1. What would be the probability of recording a measurement that differs from 9.8m/s2 by as much as (or more than) his final measurement of 9.5 m/s2 differs from the mean of the set of acceleration measurements?
2. Do you think it probable that his experiment suffered from some undetected systematic errors? Why?