Question 1161685
this is a z-test
z=(xbar-mean)/sigma/sqrt(n)
=(27-25.7)/3.75/sqrt(40)
=1.3*sqrt(40)/3.75
=2.19
it is the probability z>2.19, which is 0.0143
calculator 2nd VARS 2 normalcdf ENTER (27,1000,25.7,3.75/sqrt(40) ENTER.  The 1000 is just a large number on the infinite upside. You can use 1E99 if desired, That has less rounding and gives 0.0142.

z=(60-61.50)/5.89/sqrt(50)
>-1.5*sqrt(50)/5.89
>-1.80 or probability 0.9641