While performing a certain task under simulated weightlessness, the pulse rate of 32 astronaut trainees increased on the average by 26.4 beats per minute with a standard deviation of 4.28 beats per minute. What can one assert with \(95 \%\) confidence about the maximum error if \(\bar{x}=26.4\) is used as a point estimate of the true average increase in the pulse rate of astronaut trainees performing the given task?