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 overbar equals17.78 Mbps and a standard deviation of sequals 37.85 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 minus 2 and 2 to be neither significantly low nor significantly​ high, is the​ carrier's highest data speed​ significant?

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Asked Feb 24, 2019
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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 overbar equals17.78 Mbps and a standard deviation of sequals 37.85 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 minus 2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
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