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11Alexandr11 [23.1K]
3 years ago
15

Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results.

Mathematics
1 answer:
Gwar [14]3 years ago
8 0

Answer:

Range = 1.48-0.63=0.850 W/kg

s= 0.320 W/Kg

s^2 = 0.320^2= 0.103 W^2 /kg^2

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 Range = Max-Min

And if we replace we got:

Range = 1.48-0.63=0.850 W/kg

The sample standard deviation is given by this formula:

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

And if we replace we got s= 0.320 W/Kg

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

s^2 = 0.320^2= 0.103 W^2 /kg^2

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.

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Step-by-step explanation:

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There are 6 girls out of the 14

So as a ratio of boys to girls

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Answer:

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And rounded up we have that n=6337

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

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Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

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n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

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n=\frac{0.38(1-0.38)}{(\frac{0.01}{1.64})^2}=6336.69  

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