Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.4Mbps. The complete list of 50 data speeds has a mean of x=16.69Mbps and a standard deviation of s=18.88Mbps.
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 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?