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mars1129 [50]
3 years ago
7

How does the sample size affect the validity of an empirical​ argument? A. The larger the sample size the better. B. The smaller

the sample size the better. C. The sample size is not relevant if it is greater than 30. D. The sample size is not relevant if it is greater than 50.
Mathematics
1 answer:
astra-53 [7]3 years ago
7 0

Answer:

A. The larger the sample size the better.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

We have to look at the standard error, which is:

s = \frac{\sigma}{\sqrt{n}}

This means that an increase in the sample size reduces the standard error, and thus, the larger the sample size the better, and the correct answer is given by option a.

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Step-by-step explanation:

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3 years ago
Helena wants to paint a box in the shape of a cube with sides that are 18 inches long. what is the surface area that Helena will
yan [13]

Answer:

1944 Inches Squared

Step-by-step explanation:

Surface area Formula for a Cube:

A = 6a^2

The "edge", which is also the side, is 18 inches.

a = 18

Solve the formula.

A= 6a^2 = 6(18)^2 = 6 * 18^2\\18^2 = 324\\324 * 6 = 1944\\A=1944

The cube's surface area should be 1944 square inches.

5 0
3 years ago
What is the union of the set (1, 4, 6, 8 1/2,10) and (1, 3, 11/2, 6, 10 1/2)
makkiz [27]

Answer:

(1, 4, 6, 8, \frac{1}{2}, 10, 3, \frac{11}{2})

Step-by-step explanation:

We need to find union of given sets (1, 4, 6, \frac{1}{2}, 10) and (1, 3, \frac{11}{2}, 10, \frac{1}{2})

We know by definition that union of two given sets say A and B is set C with all the unique and common values given in set A and B.

∴ (1, 4, 6, \frac{1}{2}, 10) ∪ (1, 3, \frac{11}{2}, 10, \frac{1}{2}) = (1, 4, 6, 8, \frac{1}{2}, 10, 3, \frac{11}{2})

4 0
3 years ago
James types 25 words per minute. He be spends 15 minutes type in his homework what is the domain of the situation
rewona [7]

Answer:

he types 375 words in 15 minutes.

Step-by-step explanation:

25x15=375

8 0
3 years ago
Need an answer fast!!
melisa1 [442]
Hello!

Assuming that AC contains the points we are given, we will look at both values. We can see that both x values are the same, -2, so this is a vertical line segment. Therefore we need to find the difference between our y-values.

1--3
1+3
4


Therefore, the distance is 4 units.

I hope this helps!
7 0
3 years ago
Read 2 more answers
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