Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.
Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to various cell phone models. If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?
0.950.95
0.730.73
0.630.63
0.910.91
1.321.32
1.481.48
0.630.63
1.231.23
0.910.91
1.411.41
0.670.67
The range of the sample data is
nothing

​(Round to three decimal places as​ needed.)
Sample standard
deviationequals=nothing

kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
W.W.
Upper W divided by kg.W/kg.
​(Round to three decimal places as​ needed.)
Sample
varianceequals=nothing

kg.kg.
left parenthesis Upper W divided by kg right parenthesis squared .W/kg2.
Upper W divided by kg.W/kg.
W.W.
​(Round to three decimal places as​ needed.)
If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?
A. ​No, because it is necessary to have at least 5 of each cell phone in order to get a meaningful result. Only including one of each cell phone model is not representative of each cell phone model.
B. ​Yes, because the results from any sample of cell phones will be typical of the population.
C. ​Yes, because each model is being represented in the sample. Any sample that considers all possible cell phone models will produce results typical of the population of cell phones.
D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Respuesta :

Answer:

[tex] Range = 1.48-0.63=0.850 W/kg[/tex]

[tex] s= 0.320 W/Kg[/tex]

[tex] s^2 = 0.320^2= 0.103 W^2 /kg^2[/tex]

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.

Step-by-step explanation:

For this case we have the following data values:

0.95,0.73,0.63,0.91,1.32,1.48,0.63,1.23,0.91,1.41,0.67

The first step on this case is order the datase on increasing way and we got:

0.63 0.63 0.67 0.73 0.91 0.91 0.95 1.23 1.32 1.41 1.48

The range is defined as [tex] Range = Max-Min[/tex]

And if we replace we got:

[tex] Range = 1.48-0.63=0.850 W/kg[/tex]

The sample standard deviation is given by this formula:

[tex] s= \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

And if we replace we got [tex] s= 0.320 W/Kg[/tex]

And the sample variance is just the standard deviation squared so we got:

[tex] s^2 = 0.320^2= 0.103 W^2 /kg^2[/tex]

And for the last question about : If one of each model is measured for radiation and the results are used to find the measures of​ variation, are the results typical of the population of cell phones that are in​ use?

We can conclude this:

D. No, because some models of cell phones will have a larger market share than others. Measures from different models should be weighted according to their size in the population.