I am confused on both parts A and B. A student measures g, the acceleration of g

Question

I am confused on both parts A and B.

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

Explanation / Answer

If the measurements were normally distributed as the eaxct value of g is 9.8 m/s^2

the probability of getting an answer that differs from 9.8 is

t     = 9.8-9.5/0.1m = 0.3/0.1=3

the probability comes out to be 0.27%.

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