According to the central limit theorem, if a sample of size 100 is drawn from a population with a mean of 80, the mean of all sample means would equal _______. SHOW THE STEPS TO ARRIVE A T THE ANSWER (4 points)

Answers

Answer 1

Answer:

μX = the mean of X

σX = the standard deviation of X

If you draw random samples of size n, then as n increases, the random samples  

¯¯¯¯¯

X

which consists of sample means, tend to be normally distributed.

¯¯¯¯¯

X

~ N (

μ

x

,

σ

x

n

)

The central limit theorem for sample means says that if you keep drawing larger and larger samples (such as rolling one, two, five, and finally, ten dice) and calculating their means, the sample means form their own normal distribution (the sampling distribution). The normal distribution has the same mean as the original distribution and a variance that equals the original variance divided by, the sample size. The variable n is the number of values that are averaged together, not the number of times the experiment is done.

To put it more formally, if you draw random samples of size n, the distribution of the random variable

¯¯¯¯¯

X

, which consists of sample means, is called the sampling distribution of the mean. The sampling distribution of the mean approaches a normal distribution as the sample size n increases.

The random variable

¯¯¯¯¯

X

has a different z-score associated with it from that of the random variable X. The mean

¯¯¯

x

is the value of

¯¯¯¯¯

X

in one sample.

z =

¯¯¯

x

μ

x

σ

x

n

μ

x

=

μ

¯¯¯

x

 (mean of X = mean of

¯¯¯¯¯

X

. )

σ

¯¯¯

x

=

σ

x

n

= standard deviation of

¯¯¯¯¯

X

and is called the standard error of the mean.

Step-by-step explanation:

sorry if its hard/ confusing


Related Questions

What are the zeros of the polynomial function f(x)=(x−2)(x+4)(x−5)?

Answers

The roots(zeroes) are the x values where the graph intersects the x axis, therefore to find the roots, replace y with 0 and solve for x. Hope this helps!


Zeroe: X=2. X=-4. X=5

Which quadrant would contain the point (-1, -3)?

Answers

Answer:

3

Step-by-step explanation:

Quadrants are 1 to 4 going counter clockwise, when you plot those points they are in the lower left which is quadrant 3.

A copy machine makes copies 32 per minute. How long does it take to make 168 copies

Answers

Answer:

5.25m

Step-by-step explanation:

32 papers will make in 1 minute

(168 copies/32copies)×1min = 5.25m

It would take 5 minutes and 25 seconds. Just take 168 and divide it by 32 and then you will be left with your answer 5.25.

Last year, Dante had $10,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account
that paid 8% simple interest per year. After one year, he received a total of $730 in interest. How much did he invest in each account?

Answers

a = amount invested at 7%

b = amount invested at 8%

we know that total that he invested was 10000, therefore a + b = 10000.

hmmm how muich is 7% of "a"? well (7/100) * a => 0.07a.

how much is 8% of "b"? well (8/100) * b => 0.08b.

After a year he received in interest $730, so we know that at simple interest rate, 0.07a + 0.08b = 730.

[tex]\begin{cases} a+b=10000\\ 0.07a+0.08b=730\\[-0.5em] \hrulefill\\ b = 10000 - a \end{cases}\qquad \stackrel{\textit{substituting on the 2nd equation}}{0.07a+0.08(10000-a) = 730} \\\\\\ 0.07a+800-0.08a=730\implies 0.07a-0.08a=-70\implies -0.01a=-70 \\\\\\ a=\cfrac{-70}{-0.01}\implies \boxed{a = 7000} ~\hfill \stackrel{\textit{we know that}}{b = 10000 -a}\implies \boxed{b = 3000}[/tex]

solve the literal equation for x ax=bx-c

Answers

Answer:

Collect terms in x on the left side  

subtract  

b

x

from both sides

a

x

b

x

=

c

take out a  

common factor  

x

x

(

a

b

)

=

c

divide both sides by  

a

b

x

=

c

a

b

Step-by-step explanation:

im sorry if its not cleear to explain

12Q. Sweeti covered 2/7 of the running track by walking and rest by running and the length of the track is 630 m. Find the distance covered by running ?​

Answers

Step-by-step explanation:

Given that :

Total length of the track = 630 m

Distance covered by Sweeti by walking = 2/7 of the running track

2/7 of 630 m

⇛ (2/7)×630

⇛ (2×630)/7

⇛ 1260/7

⇛ 180 m

Distance covered by walking = 180 m

Remaining distance =

Total distance - Distance covered by walking

⇛630 m - 180 m

⇛ 450 m

The total distance covered by running by Sweeti is 450 m.

Read more:

Similar Question

You can burn about 450 calories if you run 5 miles. How many miles will you need to run to burn 630 calories? Justify your reasoning.....

https://brainly.com/question/20123561?referrer

A racing car consumes a mean of 85 gallons of gas per race with a standard deviation of 7 gallons. If 39 racing cars are randomly selected, what is the probability that the sample mean would differ from the population mean by greater than 3 gallons

Answers

Answer:

33.20% probability that the sample mean would differ from the population mean by greater than 1 gallon

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Why can’t I get points guys it won’t give me any

Answers

Answer:

u gotta answer

Step-by-step explanation:

choose a random question and answer it :)

Did you type the answer to the question? After you type the answer to that question. I think you should be able to get points because it will show up on your status. :)

Ali’s cow gives 2 1/4 gallons of milk each day. How much is this in quarts? Write your answer as whole number or a mixed number In simplest form. Include the correct unit in your answer.

Answers

Answer:

9 quarts

Step-by-step explanation:

A jacket is on sale for 20% off. The
original price is $60. What is the new
price? Show your work.

Answers

Answer:

New price = $48

Step-by-step explanation:

New price = Original price - (original price × 20%)

New price = $60 - ($60 × .20)

New price = $60 - $12

New price = $48

Or If the jacket is 20%, you will pay 80% of the cost.

So Original price × the percentage that you paid = New price

                     $60 × 80% = New price

                      $60 × .80 =  $48

1. Andrea’s car has broken down for the third time this month, and she has decided to buy a different car. Her dream car, a 2016 Chevrolet Camaro, costs $38,000. She has a $4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars.

a. How much will Andrea need to borrow to buy the Camaro?

b. What would Andrea need to type in Excel to figure her monthly payment, and what will her monthly payment be?

c. What will the total of all of Andrea’s payments be over the lifetime of the car loan?

d. How much will Andrea pay in interest over the lifetime of the car loan?

Answers

A) Andrea will need to borrow $34,000 to buy the Camaro

B) Andrea will need to type =(34000x1.03 ^ 5) / 60 in Excel to figure her monthly payment, which will be $656,92.

C) The total of all of Andrea’s payments be over the lifetime of the car loan will be $39.415,31

D) Andrea will pay $5415.31 in interest over the lifetime of the car loan

Since Andrea's car has broken down for the third time this month, and she has decided to buy a different car, and her dream car, a 2016 Chevrolet Camaro, costs $ 38,000, and she has a $ 4,000 down payment saved, and the bank is offering 3.00% APR on 60 month loans for new cars, to determine A) how much will Andrea need to borrow to buy the Camaro; B) what would Andrea need to type in Excel to figure her monthly payment from her, and what will her her monthly payment be from her; C) what will the total of all of Andrea’s payments be over the lifetime of the car loan; and D) how much will Andrea pay in interest over the lifetime of the car loan, the following calculations must be performed:

A) 38000 - 4000 = X 34000 = X

B) = (34000x1.03 ^ 5) / 6039.415,31 / 60656,92

C) 34000 x 1.03^5 = X34000 x 1.1592 = X39.415,31 = X

D) (34000 x 1.03^5) - 34000 = X(34000 x 1.1592) - 34000 = X39415.31 - 34000 = X5415.31 = X

Learn more in https://brainly.com/question/14295570

Outliers have very little or no effect on which of the following check all that apply mean median mode range or standard deviation

Answers

Outliers are data elements that are far from the other elements of a dataset, and they have little or no effect on the median and the mode

Outliers are usually large or very low values, and they always affect the mean of the dataset.

Also, they affect the range of the dataset.

The standard deviation is dependent on the mean of the dataset.

This means that, outliers would also have effects on the standard deviation.

However, outliers are most likely not to have a considerable effect on the median and the mode of the dataset.

Hence, the true options are mode and median

Read more about outliers at:

https://brainly.com/question/23461655


Yesterday, Chris had m baseball cards. Today, he gave 18 away. Using m, write an expression for the number of cards Chris has left.

Answers

m-18

(MARK ME BRAINLIEST PLS I WILL GET NEW RANK(ACE) Pls))

express (25 1/2) ^3 in simplest radical form

Answers

Step-by-step explanation:

i think this is the answer if it's wrong I'm sorry

Which is the best estimate of the product 3,780 × 2?

Answers

Answer:

8000

Step-by-step explanation:

Find the first partial derivatives of the function.
z = (6x + 2y)^9

dz/dx=
dz/dy=

Answers

If z = (6x + 2y)⁹, then the partial derivatives of z are

• with respect to x :

∂z/∂x = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂x

∂z/∂x = 9 (6x + 2y)⁸ • 6

∂z/∂x = 54 (6x + 2y)⁸

• with respect to y :

∂z/∂y = 9 (6x + 2y)⁹⁻¹ • ∂(6x + 2y)/∂y

∂z/∂y = 9 (6x + 2y)⁸ • 2

∂z/∂y = 18 (6x + 2y)⁸

Is 5.12 times 10n =512

Answers

Answer:

it is D

Step-by-step explanation:

I have to show you, but if I do it don't on the paper

The answer is D, the variables could be replaced with a five to make the statement true

Help ASAP!!! Pls and thx

Answers

Answer:

ture

Step-by-step explanation:

Which irrational number is represented by point D? A) V175 B) V250 ) 1392 D) 440​

Answers

Answer:

c that is the answer yes .

Answer:

Step-by-step explanation:

c       i took the k121 online quiz in progress learning

Help help help help help help

Answers

Answer:

This is 0.8 to the nearest tenth.

Step-by-step explanation:

FYI, to round to the nearest tenth, look at the second number after the decimal point. If it is 5 or more then round the first number after the point up one e.g.. If the answer was 0.850375,you round up which is 0.9 to the nearest 10th.

If the second number after the decimal point is less than 5 (in this case) you round down to 0.8.        (BRAINLIETS PRETTY PLEASEEEE OvO)

Write as a fraction
3÷151​

Answers

Answer:

3/151

Step-by-step explanation:

That's the answer

3/151, cannot be simplified further

Will give brainliest to whoever helps pls

Answers

Answer:

for me the picture is blurry sorry

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

What equation represents this graph?

Answers

it should be d. y=2/3x+2
The answer is d. y=2/3x+2

Learning Task 2: Solve each proportion
1) 5/12 = 35/ n
2) n/ 52 = 180/ 120
3) 18/n = 21/28
4) n/4 = 24/6
5) 10/16 = n/56

Answers

1. [tex] \frac{5}{12} = \frac{35}{n} \\ 5n = 35 \times 12 \\ 5n = 420 \\ n = \frac{420}{5} \\ n = 84[/tex]

2. [tex] \frac{n}{52} = \frac{180}{120} \\ 120n = 180 \times 52 \\ 120n = 9360 \\ n = \frac{9360}{120} \\ n = 78[/tex]

please answer fully ?/'//////////////////////

Answers

Answer:

(saving my answer for the question)

what is the problem?

Step-by-step explanation:

9 ⋅ (−4) ⋅ (−4) ⋅ (−7) = ?
20 pts
brainlyiest if correct

Answers

Answer:

The answer is -1008, it's in the comments

Please look at picture for question.

Answers

Answer:

2/5m - 1/5

Step-by-step explanation:

What is 1/3÷1/2 math answers?

Answers

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

(a) Write an equation of the line that passes through the point and is parallel to the given line.




(b) Write an equation of the line that passes through the point and is perpendicular to the given line.

Answers

9514 1404 393

Answer:

parallel: y = x -1perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the  y-axis at y = -1. Then the slope-intercept equation is ...

  y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

  y = -x -3 . . . . . equation of perpendicular line

9514 1404 393

Answer:

parallel: y = x -1

perpendicular: y = -x -3

Step-by-step explanation:

The given line has a rise of 1 for each run of 1, so a slope of 1. If you draw a line with a slope of 1 through the given point, you can see that it intersects the y-axis at y = -1. Then the slope-intercept equation is ...

 y = x -1 . . . . . equation of parallel line

__

The perpendicular line will have a slope that is the opposite reciprocal of the slope of the given line: m = -1/1 = -1

A point that is 1 unit right and 1 unit down from the given point is -3 on the y-axis. This is the y-intercept of the perpendicular line. The equation is ...

 y = -x -3 . . . . . equation of perpendicular line

y′′ −y = 0, x0 = 0 Seek power series solutions of the given differential equation about the given point x 0; find the recurrence relation that the coefficients must satisfy

Answers

Let

[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = a_0 + a_1x + a_2x^2 + \cdots[/tex]

Differentiating twice gives

[tex]\displaystyle y'(x) = \sum_{n=1}^\infty na_nx^{n-1} = \sum_{n=0}^\infty (n+1) a_{n+1} x^n = a_1 + 2a_2x + 3a_3x^2 + \cdots[/tex]

[tex]\displaystyle y''(x) = \sum_{n=2}^\infty n (n-1) a_nx^{n-2} = \sum_{n=0}^\infty (n+2) (n+1) a_{n+2} x^n[/tex]

When x = 0, we observe that y(0) = a₀ and y'(0) = a₁ can act as initial conditions.

Substitute these into the given differential equation:

[tex]\displaystyle \sum_{n=0}^\infty (n+2)(n+1) a_{n+2} x^n - \sum_{n=0}^\infty a_nx^n = 0[/tex]

[tex]\displaystyle \sum_{n=0}^\infty \bigg((n+2)(n+1) a_{n+2} - a_n\bigg) x^n = 0[/tex]

Then the coefficients in the power series solution are governed by the recurrence relation,

[tex]\begin{cases}a_0 = y(0) \\ a_1 = y'(0) \\\\ a_{n+2} = \dfrac{a_n}{(n+2)(n+1)} & \text{for }n\ge0\end{cases}[/tex]

Since the n-th coefficient depends on the (n - 2)-th coefficient, we split n into two cases.

• If n is even, then n = 2k for some integer k ≥ 0. Then

[tex]k=0 \implies n=0 \implies a_0 = a_0[/tex]

[tex]k=1 \implies n=2 \implies a_2 = \dfrac{a_0}{2\cdot1}[/tex]

[tex]k=2 \implies n=4 \implies a_4 = \dfrac{a_2}{4\cdot3} = \dfrac{a_0}{4\cdot3\cdot2\cdot1}[/tex]

[tex]k=3 \implies n=6 \implies a_6 = \dfrac{a_4}{6\cdot5} = \dfrac{a_0}{6\cdot5\cdot4\cdot3\cdot2\cdot1}[/tex]

It should be easy enough to see that

[tex]a_{n=2k} = \dfrac{a_0}{(2k)!}[/tex]

• If n is odd, then n = 2k + 1 for some k ≥ 0. Then

[tex]k = 0 \implies n=1 \implies a_1 = a_1[/tex]

[tex]k = 1 \implies n=3 \implies a_3 = \dfrac{a_1}{3\cdot2}[/tex]

[tex]k = 2 \implies n=5 \implies a_5 = \dfrac{a_3}{5\cdot4} = \dfrac{a_1}{5\cdot4\cdot3\cdot2}[/tex]

[tex]k=3 \implies n=7 \implies a_7=\dfrac{a_5}{7\cdot6} = \dfrac{a_1}{7\cdot6\cdot5\cdot4\cdot3\cdot2}[/tex]

so that

[tex]a_{n=2k+1} = \dfrac{a_1}{(2k+1)!}[/tex]

So, the overall series solution is

[tex]\displaystyle y(x) = \sum_{n=0}^\infty a_nx^n = \sum_{k=0}^\infty \left(a_{2k}x^{2k} + a_{2k+1}x^{2k+1}\right)[/tex]

[tex]\boxed{\displaystyle y(x) = a_0 \sum_{k=0}^\infty \frac{x^{2k}}{(2k)!} + a_1 \sum_{k=0}^\infty \frac{x^{2k+1}}{(2k+1)!}}[/tex]

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