A college has a limited enrollment summer course that only accepts 50 students, selected at random from
the more than 2000 qualified students who apply each year. Of these applicants, 22% have completed 2
or fewer years of college. Suppose the registrar calculates the annual proportion of students accepted
into the course who have completed 2 or fewer years of college.
Which of the following distributions is the best approximation of the sampling distribution of p?
Each distribution uses the same scale.
Choose 1 answer:
0.22
0.22

Answers

Answer 1

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Answer 2

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].  For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this problem:

The proportion is of [tex]p = 0.22[/tex].Samples of 50 students are taken, hence [tex]n = 50[/tex].

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/25868626


Related Questions

Brainliest for correct answer

Answers

the answer is D i’m sure

The perimeter of any polygon is the?
Choose a right answer :
a) Product of all the sides.
b) sum of the all sides.
c) sum of any two sides.
d) sum of the diagonals.​

Answers

Answer:

B

Step-by-step explanation:

perimeter is the sum of all sides. it's the distance around the figure.

Help me I need to finish this today

Answers

Answer:

24 glasses

Step-by-step explanation:

Answer is D

1/8 x 24= 3

85% of x is 51. Write an equation that represents the situation

Answers

Answer:

85%*x =51

Step-by-step explanation:

of means multiply

Hence,

     85% times x =51

if a city with a population of 500,000 doubles in size every 64 years, what will the population be 256 years from now?

Answers

2,000,000 or 2,000 something 2 hope this helps

Answer:

8,000,000

Step-by-step explanation:

This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.

Meaning? Well...

500,000 x 2 = 1,000,000 = 64yrs

1,000,000 x 2 = 2,000,000 = 128yrs

2,000,000 x 2 = 4,000,000 = 192yrs

4,000,000 x 2 = 8,000,000 = 256yrs

This is 4 times.

so every time it's doubled, it means the sum of that number times 2.

Determine whether the equation represents direct, joint, or inverse variation. Then identify the constant.
t = 100/s
y/5 = x
p/qr = 4
C = 2πr
V = 1/3πr^2h
xy = 2/5

Answers

The end is c kkdkkdkdje

uld observe for the entire population represented by the volunteers if all members of this population tasted, respectively, the yogurt with and without the added calcium. If we had used the more accurate software approximation for the degrees of freedom, how would the 90% confidence interval compare to the one constructed with the more conservative value for degrees of freedom

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : It would be narrower  ( C )

Step-by-step explanation:

When The 90% confidence interval is compared to the one constructed ( i.e. one with a more conservative value for degrees of freedom ) it would be narrower and this is simply because the conservative df does not put into consideration the fractional part .

-6y+15= -27 what is y?

Answers

Answer:

y=7

Step-by-step explanation:

-6y= -27-15

-6y= -42

y=7

Answer:

‐6y= ‐27‐15

‐6y= ‐42

y= ‐42/‐6 minus minus sign will be cut

y=7

What is the value of the following
expression when d=2?

3d + (2.d)-4

Answers

Answer:

6

Step-by-step explanation:

I used a calculator and the answer is 6

Neville is making posters for a recycling project. If each poster is a rectangle that is 12.5 inches wide and 16 inches tall, what is the perimeter of one poster?

Answers

Answer:

The perimeter of one poster is 57 inches.

Step-by-step explanation:

The perimeter of a rectangle is given by:          

[tex] P = 2(w + h) [/tex]

Where:

w: is the widht = 12.5 in

h: is the height = 16 in

Hence, the perimeter is:

[tex] P = 2(w + h) = 2(12.5 + 16) = 57 in [/tex]

Therefore, the perimeter of one poster is 57 inches.

I hope it helps you!

You spin a spinner that is equally divided into 7 parts, and then you spin it again. 1 part is red, 2 parts are white, 3 parts are yellow and 1 part is black.
What is the probability of the spinner stopping on a white section on the first spin and then a red section on the second spin?

Answers

Answer:

[tex] \frac{2}{7} \: and \: \frac{1}{7} [/tex]

260 students were surveyed on whether they prefer apple juice or orange juice. A table of relative frequencies is shown. How many more girls prefer apple juice than boys

Answers

Answer:

We need a picture of the screen plz

Step-by-step explanation:

There are 6 flavors of candy in a bag. The probability of randomly selecting strawberry is 1/4, lime is 3/16, lemon is 4/32, cherry is 1/8, and grape is 14/64. What is the probability of randomly selecting a piece of the 6th flavor?

Answers

you need to change them all to have common denominators and then add all the numerators and subtract them from 64.

answer = 8+16+12+8+14 = 58
64-58 = 6
there is a 6/64 probability of selecting a piece of the 6th flavor

If log 7 =0.845, find log (7200).

Answers

Answer:

corbet. orbet

Step-by-step explanation:

nsjebfndnjetjjcs

PLEASE HELP 0ffering MAX POINTS

Answers

Answer:

Priya is correct

Step-by-step explanation:

Priya is right because of the plus sign. When its adding you should always subtract from both sides but when you have the subtraction side you have to add to both sides.

Answer:

I think he is right I got that it is priya

Step-by-step explanation:

Find two numbers which add to give 0 and multiply to give -16

Answers

Answer:

4 and -4

Step-by-step explanation:

Find which of the following fractions is larger: 51) 2/5,1/3,1/15 A) 2/5 B) 1/3 C) 1/15
52) 3/12,2/6, 1/24 A) 3/12 B) 2/6 C) 1/24​

Answers

A)))))))))))))))))))))))

Which of the following is the additive inverse of
1/2

Answers

Answer:

2

Step-by-step explanation:

1/2 x 2 = 1

Answer:

2

Step-by-step explanation:

beacuse 2/1 is actually 2

According to the Central Limit Theorem, which statements(s) are TRUE. There may be more than 1 correct answer. A. An increase in sample size from n = 16 to n = 25 will produce a sampling distribution for the sample means that has a smaller standard deviation. B. The larger the sample size, the more the sampling distribution of sample means will resemble a normal distribution C. The mean of the sampling distribution of sample means for samples of size n = 15 will be the same as the mean of the sampling distribution for samples of size n = 100. D. The mean of a sampling distribution of sample means is equal to the population mean divided by the square root of the sample size. E. The larger the sample size, the more the sampling distribution of sample means resembles the shape of the population.

Answers

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

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

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 [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

From the Central Limit Theorem, we have that:

The larger the sample size, the closer to the normal distribution the distribution of sample means is.

No matter the sample size, the mean is the same.

The larger the sample size, the smaller the standard deviation.

The smaller the sample size, the larger the standard deviation.

So the correct options are:

A, B, C

Write the form of the partial fraction decomposition of the rational expression.
11x - 10/ (x-6)(x+7)

Answers

Answer:

x+7x2+3x+2=6x+1+−5x+2

Step-by-step explanation:

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x+7x2+3x+2=6x+1+−5x+2

Factor and solve 121r^2-64t^2

Answers

Answer:

(11r + 8t)(11r - 8t)

Step-by-step explanation:

difference of two squares

PLEASE HELP
3/4x - 7 = 3 (1/6x +1)

Solve the linear equation and determine whether it’s one solution or infinite solution or no solution

Answers

Use cymath it helps with problems like this

Answer:

One Solution

Step-by-step explanation:

[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]

[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]

[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]

[tex] = > \frac{3 - 2}{4} x = 10[/tex]

[tex] = > \frac{1}{4} x = 10[/tex]

=> x = 10 × 4

=> x = 40

Here,

The variable x whose only one value 40 will solve the equation.

Hence,

It has only one solution. (Ans)

Can you plz help me by solving the equation and showing how you got the answer

Answers

Answer:80

Step-by-step explanation: It is 80

15% of 12 is 1.8 or 180%. I don’t know how to tell you how I did it though sorry :(

(10x – 2) - (2x - 7)
O 8x + 5
O 12.2 + 5
o 12c - 9
O 83 -9

Answers

Answer:

the first one

8x+5

Step-by-step explanation:

10x-2-2x+7= 8x+5

help me please i will give you brainliest

Answers

Answer:

its b!

please brainliest

The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.

3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7

Use the data to fill in the box-and-whisker plot below.

Answers

Answer:

I'm not your Slave

Step-by-step explanation:

do it yourself

A record label surveyed 150 random visitors to its website to discover whether they prefer metal, rock, hip-hop, or jazz. The survey showed that 27 visitors preferred metal, 78 preferred rock, 21 voted for hip-hop, and 24 Liked jazz. If the company estimates sales of 3,000 copies a week at its online store, how many will likely be from the rock genre?* 520 1,500 2,100 1,560​

Answers

Answer:

3,120

Step-by-step explanation:

Because...............

Find the value of x.

Answers

Answer:

13.8

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html

It gives you everything you need to know about the triangle

13 . 8 your welcome

1 pts
So
Sales
SE
According to
the data given, sza
what is the
sales amount
when the
temperature is
18 degrees C?
Temperature

Answers

Shfhdjdjsxjzkzndmdkxmdns

i don’t need to show work but it would help :)

Answers

Answer:

d. (73.9 in^2)

Step-by-step explanation:

I suppose that 9.7 in is the diameter.

R=D/2=9.7/2=4.8in

A=π*(R^2)=3.14*(4.8)^2=73.9 in^2

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