A simple random sample of size n=53 is obtained from a population with μ=53 and σ=7. Does the population need to be normally distributed for the sampling distribution of x to be approximately normally​ distributed? Why? What is the sampling distribution of x​?

Answers

Answer 1

Answer:

No, because the Central Limit Theorem posits that regardless of the shape of the underlying​ population, the sampling distribution of bar x becomes approximately normal as the sample​ size (n) increases.

The sampling distribution of x is;

[tex]\mu_{\overline x} = \mu = 53[/tex]

Step-by-step explanation:

Given that:

The sample size n = 53

The population mean μ = 53

The standard deviation σ = 7

The sampling distribution of x is;

[tex]\mu_{\overline x} = \mu = 53[/tex]

Sampling distribution of the standard deviation is:

[tex]\sigma _x =\dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]\sigma _x =\dfrac{7}{\sqrt{53}}[/tex]

[tex]\sigma _x =\dfrac{7}{7.28}[/tex]

[tex]\sigma _x =0.96[/tex]


Related Questions

FREEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEETHINGSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSEE

Answers

Answer:

FRRRRRRRRRRRRRRRRREEEEEEEEEEEEEEEEEEEEEEEEEEEE

Step-by-step explanation:

FFFFFFFFFFFFFRRRRRRRRRRRRRREEEEEEEEEEEEEEEE

YYYAYYYYYYYYAAAAAAAAAAAAYYYYYYYYYYY

The P on number line below represents the number

Answers

-4.5

Step-by-step explanation:

the point P is at the midpoint of -4 and -5

5x-5=3x +17
what is the answer?

Answers

Answer:

do 8x12 maybe

Step-by-step explanation:

im sorry i hope this helps

can you please help me with this question ​

Answers

Answer:

Least 4 5/7 {-6 5/7} -  | -7 1/7 {-4 4/5} | 5 5/7 X 5 5/7.

Step-by-step explanation:

Answer: From least to greatest

-31 32/49, 32 32/49, 34 2/7

Step-by-step explanation:

5 5/7x 5 5/7= 32 32/49

4 5/7x -6 5/7= -31 32/49

-7 1/7x -4 4/5= 34 2/7

Which one is this please answer it and get thanks from me if ur right

Answers

♡ The Question ♡

- Which of the following is equivalent to the power shown below? 8^4

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ The Answer ☆

- Your answer should be C!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

♡ The Explanation/Step-By-Step ♡

- When your power is being shown as 8^4, this can be represented as 'Eight four times.' This means it could be, 8, 8, 8, 8. Hope this helps!

*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*

☆ Tips ☆

- No tips provided!

If 12 gallons of water are divided evenly into 7
buckets, how much will be in each bucket?

Answers

1.71 is your answer hope this helps

Find the equation of the line through point (4,-7) and parallel to y =-2/3x + 3/2

Answers

Answer:

Hi

Step-by-step explanation:

Good bye. ;) (Stranger-Danger!) :)

please help please help please help Suppose Karen $1000 that she invests in an account that pays 3% interest compounded annually. How much money does Karen have at the end of 3 years?Solve for the interest

Answers

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Complete This statement

Answers

Answer:

math is always false even tho its right but its wrong.

The transformation indicated on the graph is a ____. A. Translation B. Reflection C. Rotation​

Answers

Answer:

rotation

Step-by-step explanation:

Answer:

the answer is rotation

Step-by-step explanation:

hope this helps

What is the solution to the equation 4x + 2(x − 3) = 3x + x − 12? (5 points)

Group of answer choices

−3

−1

1

3

Answers

Answer:

Answer- 3 hope I helped you

Step-by-step explanation:

The answer is x= -3

win rounds a whole three digit number up to nearst 10.Hos number is 340. What is the smallest the original number could have been​

Answers

Hmmm that’s kinda complicated

Need help with this please

Answers

download docx? sorry cant help ya with that bud

Step-by-step explanation:

What is 6/3(2+2)
First correct answer gets brainliest :D

Answers

Answer:

8

Step-by-step explanation:

Answer: 8 is your answer

If the radius of a circle is 12cm, then the diameter is 6cm.

True or false

Answers

Answer:

False.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Geometry

Radius: rDiameter: d = 2r

Step-by-step explanation:

Step 1: Define

Radius = 12 cm

Step 2: Find diameter

Substitute:                    d = 2(12 cm)Multiply:                        d = 24 cm

∴ The statement is false and should be 24 cm as the diameter.

Write each of the following equations in slope-intercept form using y = mx + b

a) y - 10 = 6 (x + 4)

b) y+5 = 1/2 (x + 30)

Answers

Answer:

A X= y-10/6= -4  B x= 2(y+5)−30

Step-by-step explanation:

Use Cymath

Select the correct answer. How are corporate and Treasury bonds taxed? A. Both are taxed at the federal and state level. B. Both are taxed at the federal and local level. C. Both are taxed at the local level. D. Both are tax free. E. Both are taxed at the federal level.

Answers

Answer: I belive it’s B. both are taxed at the federal and local level

Step-by-step explanation:

Answer:

top one is wrong It’s E both are taxed at the federal level

Step-by-step explanation:

anyone know this please???

Answers

Answer: Choice A

The triangles are congruent because both the corresponding sides of the triangles and the corresponding angles of the triangles are congruent.

==============================================

Explanation:

Congruent triangles are identical copies of one another. This means the corresponding pieces must be the same.

It's like saying two houses are identical, so that means the all the various parts (eg: front door, windows, etc) must be identical. If let's say the two front doors were different, then the houses wouldn't be completely identical.

Going back to the triangles, we know that the sides are congruent by the tickmarks

side MN = side RS (single tickmark)side NP = side ST (double tickmarks)side MP = side RT (triple tickmarks)

That takes care of the first part of choice A.

And similarly, the angle markers tell us which angles are congruent

angle M = angle R  (single arc)angle N = angle S (90 degree angle marker)angle P = angle T (double arc)

That concludes the second part of choice A.

Is my answer correct or incorrect? True or false

Answers

Answer:

Your answer is true.

Step-by-step explanation:

Answer:  correct

Step-by-step explanation:

Identify the y-intercept from y= -2x -7

Answers

Answer:

-7

Step-by-step explanation:

A jacket usually sells for $60.00. If the jacket is 20% off, and sales tax is 6%, what is the total price of the jacket, including tax?

Answers

Answer:

53.93

Step-by-step explanation:

Factor the following expression X^2-9x+8

Answers

The answer is (x-1)(x-8)

What are the intercepts of the following
equation?
3x - 6y = -12

Answers

Answer:

x-intercept will be: (-4, 0)y-intercept will be: (0, 2)

Step-by-step explanation:

Given the equation

[tex]3x\:-\:6y\:=\:-12[/tex]

We know that x-intercept is obtained when we put y = 0,

so

[tex]3x\:-\:6y\:=\:-12[/tex]

3x - 6(0) = -12

3x = -12

x = -4

Therefore, x-intercept will be: (-4, 0)

We know that y-intercept is obtained when we put x = 0,

[tex]3x\:-\:6y\:=\:-12[/tex]

3(0) - 6y = -12

-6y = -12

y = 2

Therefore, y-intercept will be: (0, 2)

Write the equations of the lines with the following descriptions

8. m = 2/-3 and passes through the point (3,-5)

Answers

Answer: Y= -2/3x -3

Explanation: The formula is y-y1=m(x+b).
Fill in what we know, which is,
y-(-5)=-2/3 (x-3) Then you distribute and get y+5=-2/3x+2. Then you subtract 5 from each side and get your final answer of y=-2/3x -3

Dave doughnuts sell a dozen doughnuts for 5.64. what is the unit cost per doughnuts?

Answers

Answer:

give me some DONUTS!!!!!!!

Step-by-step explanation:

and a coffee at the if you will in fact give me a caramel Pacheco

(X-2)^2+8^2=x^2 how do U find the answer

Answers

Answer:

17

Step-by-step explanation:

Given expression;

            (x - 2)²  + 8²   = x²  

 To solve this problem, expand the expression in the parentheses;

      (x- 2)(x -2)  + 64  = x²

     ( x² - 2x -2x + 4) + 64  = x²

        x² - 4x + 4 + 64  = x²

        x² - 4x + 68  = x²

 Collect like terms;

           x² - x² - 4x + 68  = 0

                     -4x  = -68

                       x  = [tex]\frac{68}{4}[/tex]  = 17

           

Find the third side in simplest radicle form: 8 and 34

Answers

Answer:

7[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{98}[/tex] = 7[tex]\sqrt{2}[/tex]

What is the value of x? Use the image below. *
(5x + 5)
959
95
18
19
180

Answers

Answer:

18

Step-by-step explanation:

hope this helps you out

i need help, can’t figure it out or understand this

Answers

Answer:

17°

Step-by-step explanation:

sum of angles in a triangle=180°

x+17°+6x+10°+4x-34°=180°

11x-7°=180°

11x=180°+7°

11x=187°

x=17°

A group of volunteers has been collecting toys to deliver to a local charity. Over the last 3 days, the volunteers have collected 204 toys. What has been their collection rate, in toys per day?
A.
70 toys per day
B.
71 toys per day
C.
68 toys per day
D.
67 toys per day

Answers

I believe it’s C, but please correct me if I’m wrong! :)
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