Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was

77.2

Mbps. The complete list of 50 data speeds has a mean of

x=16.99

Mbps and a standard deviation of

s=32.96

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

2

and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?

a. The difference is ? Mbps.