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In Exercises, find the range, variance, and

Chapter 3, Problem 16BSC

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QUESTION:

Cell Phone Radiation Listed below are the measured radiation emissions (in W/kg) corresponding to these cell phones: Samsung SGH­tss9, Blackberry Storm, Blackberry Curve, Motorola Moto, T­Mobile Sidekick, Sanyo Katana Eclipse, Palm Pre, Sony Ericsson, Nokia 6085, Apple iPhone 3G S, and Kyocero Neo E1100. The data are from the Environmental Working Group. If one of each model of cell phone is measured for radiation and the results are used to find the standard deviation, is that standard deviation equal to the standard deviation of the population of all cell phones that are in use? Why or why not?

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QUESTION:

Cell Phone Radiation Listed below are the measured radiation emissions (in W/kg) corresponding to these cell phones: Samsung SGH­tss9, Blackberry Storm, Blackberry Curve, Motorola Moto, T­Mobile Sidekick, Sanyo Katana Eclipse, Palm Pre, Sony Ericsson, Nokia 6085, Apple iPhone 3G S, and Kyocero Neo E1100. The data are from the Environmental Working Group. If one of each model of cell phone is measured for radiation and the results are used to find the standard deviation, is that standard deviation equal to the standard deviation of the population of all cell phones that are in use? Why or why not?

ANSWER:

Answer :

Step 1 of 1 :

Given Cell Phone Radiation Listed below are the measured radiation emissions (in W/kg) corresponding to these cell phones: Samsung SGH-tss 9, Blackberry Storm, Blackberry Curve, Motorola Moto, T-Mobile Sidekick, Sanyo Katana Eclipse, Palm Pre, Sony Ericsson, Nokia 6085, Apple iPhone 3G S, and Kyocera Neo El 100.

The data are from the Environmental Working Group.

0.38 , 0.55 , 1.54 , 0.50 , 0.60 , 0.92 , 0.96 , 1.00 , 0.86 , 1.46

Now we have to find the range, variance, and standard deviation for the given sample data.

The range is a simple measure of variation in a set of random variables. It is difference between the biggest and smallest random variable.

Range = Maximum value - Minimum value

Given data

0.38 , 0.55 , 1.54 , 1.55 , 0.50 , 0.60 , 0.92 , 0.96 , 1.00 , 0.86 , 1.46

Range = Maximum value - Minimum value

Range = 1.55 - 0.38

Range = 1.17

Therefore

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