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3 years ago

Why would people do the Nervous System as a project? (abstract)

Mathematics

1 answer:

Sidana [21]3 years ago

8 0

Teachers assign this as a project to see what you already know or what you have learned about the nervous system.

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Sample Size for Proportion As a manufacturer of golf equipment, the Spalding Corporation wants to estimate the proportion of gol

Dima020 [189]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

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.

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 population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

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 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$t_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.025$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

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

We can assume an estimated proportion of $\hat p =0.5$ since we don't have prior info provided. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.025}{2.58})^2}=2662.56$

And rounded up we have that n=2663

6 0

4 years ago

given that line L1 has a slope of m1 = -5/2. Determine the slipe of line L2 if lines L1 and L2 is perpendicular

Valentin [98]

Lines that are pendicular has slopes that multiply to -1

if m1=-5/2, then m2 times m1=-1
-5/2 times ?=-1
times both sides by -2/5
?=2/5

m2=2/5

the slope of line 2 is 2/5

8 0

4 years ago

hello, can you help me with "writing equations".?"Matt spent $6.50 on his lunch. This is $2.25 more then his friend Jackson spen

natali 33 [55]

$\begin{gathered} 6.50=2.25+j \\ 6.50-2.25=2.25-2.25+j \\ 6.50-2.25=j \\ j=4.25 \\ \\ \text{ Then j=4.25} \end{gathered}$

7 0

1 year ago

How many different sandwiches can you make using one spread, one type of bread, and one type of meat?

kykrilka [37]

You can make 9 sandwiches

6 0

4 years ago

Explain how finding 4×30 he can help you find 4×5384 then find the both products

wlad13 [49]

You can do this by doing 4 x 384, and you also want to find 4 x 5384 is then all you have to do is multiply the product of that by 5,000. Or to make life easier, do 5 times the product, and then add 3 zeros to the answer.

3 0

3 years ago