Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 78.7 Mbps. The complete list of 50 data speeds has a mean of x=15.42 Mbps and a standard deviation of s=34.11 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

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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was
78.7
Mbps. The complete list of 50 data speeds has a mean of
x=15.42
Mbps and a standard deviation of
s=34.11
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?
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