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anygoal [31]
3 years ago
10

What happens to the standard deviation of the average of a sample as the sample size increases? Group of answer choices It gets

smaller It gets bigger It stays the same It depends on the value of the average
Mathematics
1 answer:
NeX [460]3 years ago
3 0

Answer:

Gets smaller

Step-by-step explanation:

- The standard deviation is the quantification of spread of data. According to descriptive statistics the standard deviation s is given by:

                             s = Σ (  x - u ) / sqrt ( n )

Where, n : sample size

            u : Mean value

- So we see that standard deviation (s) is inversely proportional to square root of sample size (n).

- We can see that as sample size (n) increases the standard deviation (s) decreases.

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Are your finances, buying habits, medical records, and phone calls really private? A real concern for many adults is that comput
Andrej [43]

Answer:

a)There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

b)There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

c)There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

Step-by-step explanation:

The binomial probability is the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment).

It is given by the following formula:

P = C_{n,x}.p^{n}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of a success.

In this problem, a success is being concerned that employers are monitoring phone calls.

53% of adults are concerned that employers are monitoring phone calls, so p = 0.53

(a) Out of four adults, none is concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 0 successes, so x = 0.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{0}.(0.47)^{4}

P = 0.0488

There is a 4.88% probability that none is concerned that employers are monitoring phone calls.

(b) Out of four adults, all are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 4.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,0}.(0.53)^{4}.(0.47)^{0}

P = 0.0789

There is a 7.89% probability that all are concerned that employers are monitoring phone calls.

(c) Out of four adults, exactly two are concerned that employers are monitoring phone calls.

Four adults, so n = 4.

Is the probability of 4 successes, so x = 2.

P = C_{n,x}.p^{n}.(1-p)^{n-x}

P = C_{4,2}.(0.53)^{2}.(0.47)^{2}

P = 0.3723

There is a 37.23% probability that exactly two are concerned that employers are monitoring phone calls.

3 0
3 years ago
A right rectangular prism has a square base, with sides that are each 2 meters in length. The height of the prism is 34 meters.
Novosadov [1.4K]

Answer:

136m

Step-by-step explanation:

The formula for the volume of a rectangular prism is V = L · W · H

We can take the given values and multiply them to find our answer.

L = 2

W = 2

H = 34

2x2x34 = 136

4 0
2 years ago
A circle has a diameter of 18 feet. Which following is closest to the l circumference of the circle?
lara [203]

circumference =2×pi×r

18/2=9(r)

so...2×pi×9

=54..5

6 0
2 years ago
Read 2 more answers
What is the value of n - 5, when n = 8?<br> A) 3 <br> B) 4 <br> C) 12 <br> D) 13
evablogger [386]
You plug 8 into where n is so it's 8-5
8-5= 3 so the answer is A
8 0
3 years ago
Read 2 more answers
Please help !!! How many centimeters
solmaris [256]
First you take the area,

4 x 2 = 8 cm

Then you take 72 cm and divide it by 8 cm to get your length

So the answer for the length is 9 cm
5 0
3 years ago
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