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Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data speeds has a mean of x= 16.36 Mbps and a standard deviation of s= 35.28 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? a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed) d. The carrier's highest data speed is significantly low significantly high not significant CCIDE

Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data speeds has a mean of x= 16.36 Mbps and a standard deviation of s= 35.28 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? a. The difference is Mbps. (Type an integer or a decimal. Do not round.) b. The difference is standard deviations. (Round to two decimal places as needed.) c. The z score is z= (Round to two decimal places as needed) d. The carrier's highest data speed is significantly low significantly high not significant CCIDE

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question 10
**Analyzing Data Speeds for a Smartphone Carrier** Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data speeds has a mean of \( \bar{x} = 16.36 \) Mbps and a standard deviation of \( s = 35.28 \) Mbps. **Questions and Tasks:** a. **Difference Calculation** - What is the difference between the carrier's highest data speed and the mean of all 50 data speeds? b. **Standard Deviations** - How many standard deviations is that difference found in part (a)? c. **Z Score Conversion** - Convert the carrier's highest data speed to a z score. d. **Significance Assessment** - 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? **Answers:** a. The difference is \( \underline{\phantom{0}} \) Mbps. - (Type an integer or a decimal. Do not round.) b. The difference is \( \underline{\phantom{0}} \) standard deviations. - (Round to two decimal places as needed.) c. The z score is \( \underline{\phantom{0}} \). - (Round to two decimal places as needed.) d. The carrier’s highest data speed is - [ ] significantly low - [ ] significantly high - [ ] not significant **Explanation:** When analyzing data speeds, it's useful to compare individual measurements to the overall distribution. Calculating the difference between a single data speed and the mean, then expressing this difference in terms of standard deviations (z score), helps determine whether a data point is typical or significant within a set. A z score further helps by showing how far away, and in what direction, a datapoint is from the mean of the dataset. Please use these questions to calculate and understand any patterns or anomalies in data speed measurements at different locations.
Transcribed Image Text:**Analyzing Data Speeds for a Smartphone Carrier** Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 77.4 Mbps. The complete list of 50 data speeds has a mean of \( \bar{x} = 16.36 \) Mbps and a standard deviation of \( s = 35.28 \) Mbps. **Questions and Tasks:** a. **Difference Calculation** - What is the difference between the carrier's highest data speed and the mean of all 50 data speeds? b. **Standard Deviations** - How many standard deviations is that difference found in part (a)? c. **Z Score Conversion** - Convert the carrier's highest data speed to a z score. d. **Significance Assessment** - 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? **Answers:** a. The difference is \( \underline{\phantom{0}} \) Mbps. - (Type an integer or a decimal. Do not round.) b. The difference is \( \underline{\phantom{0}} \) standard deviations. - (Round to two decimal places as needed.) c. The z score is \( \underline{\phantom{0}} \). - (Round to two decimal places as needed.) d. The carrier’s highest data speed is - [ ] significantly low - [ ] significantly high - [ ] not significant **Explanation:** When analyzing data speeds, it's useful to compare individual measurements to the overall distribution. Calculating the difference between a single data speed and the mean, then expressing this difference in terms of standard deviations (z score), helps determine whether a data point is typical or significant within a set. A z score further helps by showing how far away, and in what direction, a datapoint is from the mean of the dataset. Please use these questions to calculate and understand any patterns or anomalies in data speed measurements at different locations.
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