Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.3 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=20.59 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?

Kindly check explanation

Step-by-step explanation:

Given the following :

Highest speed measured = 71.3 Mbps

Mean speed (x) = 18.29 Mbps

Standard deviation (s) = 20.59

a.) What is the difference between carrier's highest data speed and the mean of all 50 data speeds?

(71.3 - 18.29) Mbps = 53.01 Mbps

b. How many standard deviations is that [the difference found in part (a)]?

53.01 / 20.59 = 2.57

c. Convert the carrier's highest data speed to a z score.

Zscore = (score - mean) / standard deviation

Zscore = (71.3 - 18.29) / 20.59

Zscore = 2.57

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?

Yes, this highest speed is significant as it's Zscore is higher than 2 (2.57).

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