Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 74.2 Mbps. The complete list of 50 data speeds has a mean of x=15.23 Mbps and a standard deviation of s=20.77 Mbps.

a. What is the difference betweencarrier's highest data speed and the mean of all 50 dataspeeds?

b. How many standard deviations is that[the difference found in part(a)]?

c. Convert thecarrier's highest data speed to a z score.

d. If we consider data speeds that convert to z scores between 2 and 2 to be neither significantly low nor significantlyhigh, is thecarrier's highest data speedsignificant?