Researchers measured the data speeds for a particular smartphone carrier at 50 a

Question

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 73.3 Mbps. The complete list of 50 data speeds has a mean of x (x bar) =15.17 Mbps and a standard deviation of s = 31.97 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?

Explanation / Answer

A) Difference between carriers highest data speed and mean of all 50 data speeds = 73.3 - 15.17 = 58.13Mbps

B) The difference is 58.13/31.97 = 1.82 standard deviations

C) Z score = +1.82

D) The z score is greater than -2 and less than 2. So, its not significantly low or significantly high

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