Researchers measred the dta speeds for a particudor smtphoe camer at 50 apets The hihst sped me d was IS Men The complete int of 50 data speeds han a men of x 17A7 Mbps and a standard deviation of a3299 Mtps a. What s the dillerence between camer's highest data spend and the mean of all 50 data speeds? b. How many standd deviations is that the dierence found in part (al? c Comvert the camer's highest data speed to az sco d. I we consider data speeds that comet to z scores between-2 and 2 to be nether ignicantly low signlicantly hgh, is the caer's highest data speed sgnlicant? a. The dillerence in Mbpn (Type an integer or a decimal Do not round) b. The dillerence isstandard dentations (Round to two decamal places as needed) c The z score is z (Round to two decmal places as needed)

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**Educational Website Transcription**

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.6 Mbps. The complete list of 50 data speeds has a mean of \( \bar{x} = 17.47 \) Mbps and a standard deviation of \( s = 32.99 \) Mbps.

**a.** What is the difference between the carrier's highest data speed and the mean of all 50 data speeds?
- The difference is \(\ \_\_\_\_\ \) Mbps  
  (Type an integer or a decimal. Do not round.)

**b.** How many standard deviations is that (the difference found in part (a))?
- The difference is \(\ \_\_\_\_\ \) standard deviations  
  (Round to two decimal places as needed.)

**c.** Convert the carrier's highest data speed to a z score.
- The z score is \( z = \_\_\_\_\)  
  (Round to two decimal places as needed.)

**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?
Transcribed Image Text:**Educational Website Transcription** Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.6 Mbps. The complete list of 50 data speeds has a mean of \( \bar{x} = 17.47 \) Mbps and a standard deviation of \( s = 32.99 \) Mbps. **a.** What is the difference between the carrier's highest data speed and the mean of all 50 data speeds? - The difference is \(\ \_\_\_\_\ \) Mbps (Type an integer or a decimal. Do not round.) **b.** How many standard deviations is that (the difference found in part (a))? - The difference is \(\ \_\_\_\_\ \) standard deviations (Round to two decimal places as needed.) **c.** Convert the carrier's highest data speed to a z score. - The z score is \( z = \_\_\_\_\) (Round to two decimal places as needed.) **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?
Expert Solution
Step 1

(a)

 

Determine the difference between the carriers highest data speed and the mean of all the data speeds.

 

The difference between the carriers highest data speed and the mean of all the data speeds is obtained below as follows:

 

Statistics homework question answer, step 1, image 1

Thus, the difference between the carriers highest data speed and the mean of all the data speeds is 60.13 Mbps.

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