Question 1168050
z=(x-mean)/sd
>(248.4-219.7)/53.7 or >28.7/53.7, which is 0.534
this has probability of 0.2965
-
this has sd of 53.7/sqrt(14)=14.35
so the above will be z>28.7/14.35 which is 2
that probability is 0.0228

Much less likely for the mean of a sample to be as far from the mean of the population as a single value.