Question 1165347
z=(x-mean)/sd
z > (143.8-149.1)/24 or greater than -0.2208.  That probability is 0.5874
for a sample of 67, the SEM is 24/sqrt(67). That is the sd of the distribution of sample means with n=67
that SEM is 2.93
z > -1.808 That probability is 0.9647

The distribution of the sample means for a given size sample is narrower than the distribution for a single selection. The greater the sample, the narrower the distribution.