If we were to define an event as being unusual if it occurs less than 5% of the time, would we consider a sample of size n=36 that had a sample mean of 87kg to be considered unusual? Why or why not? (hint: number 6 gives the 95th percentile). No. A sample mean of 87 is not unusual because P(X = 87) 0-05 (87 lies below the 95th percentile). Yes. A sample mean of 87 is unusual because begin mathsize 12px style P left parenthesis X with bar on top space greater or equal than 87 right parenthesis space less than space 0.05 end style (87 lies above the 95th percentile) Yes. A sample mean of 87 is unusual because begin mathsize 12px style P left parenthesis X with bar on top space greater or equal than 87 right parenthesis space greater than space 0.05 end style (87 lies below the 95th percentile)