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3 years ago

I can really use the help on this one

Mathematics

1 answer:

Arisa [49]3 years ago

3 0

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A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to

nordsb [41]

Answer:

The group that has greater value of relative dispersion is the smokers group, as the coefficient of variationof their data is bigger than the coefficient of variation of the non-smokers group data.

CV smokers: 0.387

CV non-smokers: 0.234

Step-by-step explanation:

We will calculate the relative dispersion of each data set with its coefficient of variation (ratio of the standard deviation to the arithmetic mean).

Then, first we calculate the mean and standard deviation for the smokers data:

Mean: 43.7

Standard deviation: 286.5

$M_s=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_s=\dfrac{1}{12}(69.3+56+22.1+47.6+53.2+. . .+13.8)\\\\\\M_s=\dfrac{524.4}{12}\\\\\\M_s=43.7\\\\\\s_s=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_s)^2\\\\\\s_s=\dfrac{1}{11}((69.3-43.7)^2+. . . +(13.8-43.7)^2)\\\\\\s_s=\dfrac{3152}{11}\\\\\\s_s=286.5\\\\\\$

The mean and standard deviation for the non-smokers is:

Mean: 30.3

Standard deviation: 50.9

$M_n=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M_n=\dfrac{1}{15}(28.6+25.1+26.4+34.9+28.8+. . .+13.9)\\\\\\M_n=\dfrac{453.8}{15}\\\\\\M_n=30.3\\\\\\s_n=\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M_n)^2\\\\\\s_n=\dfrac{1}{14}((28.6-30.3)^2+. . . +(13.9-30.3)^2)\\\\\\s_n=\dfrac{713.3}{14}\\\\\\s_n=50.9\\\\\\$

Now, we can calculate the coefficient of variation:

CV smokers:

$CV_s=\dfrac{s_s}{M_s}=\dfrac{16.9}{43.7}=0.387$

CV non-smokers:

$CV_n=\dfrac{s_n}{M_n}=\dfrac{7.1}{30.3}=0.234$

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4 years ago

HELP PLEASE ILL MAKE BRAINLIEST

Nikolay [14]

........the answer is D

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3 years ago

What is the slope of the line 3x + 4y = -11? answers: 3\4 -3\4 3 4

AnnZ [28]

you need to make it in the form of y=mx+b, and m will be the slope
so...
3x-4y=7
subtract 3x from both sides
-4y=-3x+7
then divide both sides by -4
y=(3/4)x-7/4

so the slope is 3/4

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4 years ago

A quarter back is sacked for loss of 5 yards. Then the team gains 12 yards. What integer can be used to explain the net gain or

bonufazy [111]

The integer is obviously 12

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4 years ago

At a sale, you purchased a $20 scarf for $15. What was the percent of change?

sammy [17]

The scarf was 25% off
20 - 15 = $5
20 divided by 5 = 4
So it was 1/4 off which equals 25%

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3 years ago