Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 76.4 Mbps. The complete list of 50 data speeds has a mean of x overbarequals16.18 Mbps and a standard deviation of sequals23.61 Mbps.

a. What is the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds?

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

c. Convert the​ carrier's highest data speed to a z score.

d. If we consider data speeds that convert to z scores between minus2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?