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Ludmilka [50]
1 year ago
9

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate for the data belowVolu

me of brains in cubic centimetersChoose the correct answer belowA. The interval level of measurement is most appropriate because the data can be ordered, differences (obtained by subtraction) can be found and are meaningful, and there is no natural starting pointB. The ordinal level of measurement is most appropriate because the data can be ordered, but differences (obtained by subtraction) cannot be found or are meaninglessC. The nominal level of measurement is most appropriate because the data cannot be orderedD. The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point
Mathematics
1 answer:
ki77a [65]1 year ago
7 0

Given: Volume of brains in cubic centimeters.

Because it is talking about volume it is something you can ordered, difference can be found and are meaningful. There is also a natural starting zero point because something can have 0 volume. Like an empty cup. It has no water in it for volume.

Answer:

D. The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point

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The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
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Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent certain lifetime of a population, and for this case we know the distribution for X is given by:

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Where \mu=10 and \sigma=1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

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