Census data from a city of 150,000 residents produced the income distribution shown here: A distribution curve of income in thousands of dollars. The curve is right skewed with a mean between 50 and 100. Suppose that we were to take random samples of 100 residents from this population and calculate ˉ x as the sample mean income of the residents in each sample.

Answers

Answer 1

Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.

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

In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.

To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221


Related Questions

What is the approximate value of x?

Answers

Answer:

25

Step-by-step explanation:

Answer: The answer is 25.

Have a great Day/Night!

At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.

Answers

12 because you can't go over 100

Answer:

ok so first take a way 100 from 350

250 then divide by 20

12

Hope This Helps!!!

Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12​ miles per hour. Raul rides his bike 10​ miles per hour. Together, they travel a total distance of 34​ miles.

Answers

We know

[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]

[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]

Let hours be x

[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]

[tex]\\ \sf\Rrightarrow 22x=34[/tex]

[tex]\\ \sf\Rrightarrow x=34/22[/tex]

[tex]\\ \sf\Rrightarrow x=17/11[/tex]

[tex]\\ \sf\Rrightarrow x=1.5h[/tex]

how do you find the area of something​

Answers

Answer:

multiply the length and the width of a rectangle or a square


f(x) = -x - 14
Find x if f(x) = -2

Answers

Answer:

x = -12

Step-by-step explanation:

First, you want to plug in f(x)'s value into the equation.

-2 = -x-14

Then solve for x:

x=-14+2

x=-12


You roll a six sided die. You are given $8 if a 6 comes up, $2 if a 3, 4, 5 comes up, and
nothing otherwise. Find the expected value of the entries.
Expected Value Table for rolling a six-sided die

Answers

We want to get the expected value for the given experiment. We will see that the expected value is $2.33

For an experiment with outcomes {x₁, ..., xₙ} each one with probability {p₁, ..., pₙ} the expected value is defined as:

EV = x₁*p₁ + ... + xₙ*pₙ

Here we have 3 outcomes:

x₁ = winning $8x₂ = winning $2x₃ = winning $0.

For x₁ we need to roll a 6, this is a probability of 1 out of 6, then:

p₁ = 1/6

For x₂ we need to roll a 3, 4, or 5 (3 out of 6), then:

p₂ = 3/6

For x₃ we need to roll a 1 or a 2 (2 out of 6) so the probability is:

p₃ = 2/6

Then the expected value is:

EV = $8*(1/6) + $2*(3/6) + $0*(2/6) = $2.33

If you want to learn more about expected values, you can read:

https://brainly.com/question/15858152

Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)

(−9, −6)

(−8, −2)

(0, −12)

(4, −20)

Answers

Answer:

(-10,8)(0,12)(4,-20)

Step-by-step explanation:

You just have to insert the points into the equation and then solve.

Ex: 2(4)-20=-12- True

answer for this question plz

Answers

Step-by-step explanation:

in that case we can imagine a diagonal line DB that splits the quadrilateral into 2 right-angled triangles: ADB and CDB.

the area of the quadrilateral is then the sum of the areas of the 2 triangles.

the area of a right-angled triangle is

leg1 × leg2 / 2

with the legs being the sides that enclose the 90 degree angle.

so, for ADB we get

AD × AB / 2 = 3 × 11 / 2 = 33/2 = 16.5

for CDB we get

BC × CD / 2 = 7 × 9 / 2 = 63/2 = 31.5

so, in total for the area of the quadrilateral we get

16.5 + 31.5 = 48

Which correlation coefficient best matches the graph?

Answers

Answer:

The correlation coefficient r measures the direction and strength of a linear relationship. Calculating r is pretty complex, so we usually rely on technology for the computations. We focus on understanding what r says about a scatterplot.

PLS HELP Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid’s weight, Pythagoras’s weight would still be 1 4 pound less than he did in January. What is Euclid’s weight? (a) Write an equation that represents the scenario. Begin by defining your variable. (b) Solve the equation. Show your work. (c) What is Euclid’s weight? (d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined weight of the three dogs is 1 60 2 pounds. What is Riemann’s weight, and what is Pythagoras’s weight? Show your work.

Answers

Answer: (weight = w)

This is a lot to answer but. (A)  (13 x 1.2) - 14 = w

w = 1.6

Step-by-step explanation:

please give me the answer (click on file) ​

Answers

Answer:

x = 122

Step-by-step explanation:

HELP PLEASE..........

Answers

Answer:

19.47

Step-by-step explanation:

Use the law of sines.

sin(90)/6 = sin(x)/2

Multiply both sides by 2

2 * sin(90)/6 = sin(x)

Use a calculator

0.33333 = sin(x)

sin^-1 0.3333 = 19.47

I need help again someone please help

Answers

G=45.89 gallons 46 gallons.

I hope this answers your question!

:)

I need a answer as soon as possible

Answers

Answer:

67

Step-by-step explanation:

Because 180-113 is 67.

Answer:

67°

Step-by-step explanation:

A line is 180° so subtract the 113°

180 - 113 = 67°

hope that helps and have a great day :D

If the sum of the roots of the equation 3x² + kx + 1 = 0 is 7. then what the value of k​

Answers

Answer:

The value of k is -21

Step-by-step explanation:

ax² + bx + c = 0

Sum of the roots = -b/a

3x² + kx + 1 = 0

= sum of the roots = -k/3

-k/3 = 7

Now, Multiply both side by (-3) we get,

(-3)-k/3 = 7(-3)

k = -21

Thus, The value of k is -21

-TheUnknownScientist 72

Ethan was simplifying 3xl(-2xl + 1)2 State and correct the error below
3xl(-2x1 + 1)
(-6x²/²+3x1²
(-6x?[2 + 3x1)(-6x12 + 3xl)
-36X414 - 18x13 – 18x13 + 9x²12
-36X*1* 36x12 + 9x212
-36x* (1) – 36x®(-1) + 9x?(-1)
36x4 + 36x°– 9x2

Answers

Answer the mathematical

Job bakes 48 cupcakes and 60 cookies. What is the biggest number of cupcakes and cookies that can be placed in boxes if these are of the same number? 

pls answer it i really need it now
bonus big pts
if nonsense I'll report you​

Answers

Answer:

12

Step-by-step explanation:

You need the GCF of 48 and 60

48 = 2 x 2 x 2 x 2 x 3

60 = 2 x 2 x 3 x 5

Both have 2 x 2 x 3, so the answer is 12

can someone help me with this

Answers

Answer:

b

Step-by-step explanation:

800 students were surveyed to find out their favorite subject. 35% chose Math. How many students chose Math?

Answers

Answer:

35% of 800 = 280

...........

35 divided 100 of 800. Or
35% by 800 = 280

how to simplify -5 1/4 - (-7 1/2

Answers

(hopefully I read this right)

-5 1/4 - (-7 1/2)

-5 1/4 - -7 1/2

-5 1/4 - -7 2/4

-21/4 - -30/4

-21/4 - -30/4 = 9/4 = 2 1/4

Hopefully I am correct!

Elissa got a manicure and pedicure for $40. If she wants to give a 20% tip, how much would the tip be?​

Answers

Answer:

$8.01

Step-by-step explanation:

you multiply 40 with 0.20, and then add the answer of that (8) to the original price (40). so then the answer would be 48!

Write an expression that represents the perimeter of the figure below. Write your answer in simplified form. P=??​

Answers

The perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

How to find the Perimeter of a Figure

To find the perimeter of any figure, add all the side lengths of the figure together.

Thus, the given side lengths of the figure are:

p, p, q, q, r, r, s, s, s, and s.

To find the perimeter add them together.

Perimeter of the figure = p + p + q + q + r + r + s + s + s + s

Perimeter = 2p + 2q + 2r + 4s

Therefore, the perimeter of the figure in simplified form is expressed as: P = 2p + 2q + 2r + 4s

Learn more about perimeter on:

https://brainly.com/question/24382052

Lincoln middle school had a canned food drive. The 6th grader brought in 5.75

Answers

So the Lincoln middle school will have +5.75 pounds or ounces of ffod

Write an equation for the graph.

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

3 is the slope

2 is the y-intercept

To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?​

Answers

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

PLEASE HELP TENTH GRADE GEOMETRY

Answers

Answer:

answer is 19............

Describe the possible length of the third side of the triangle given that the links of the other two sides of 5 inches and 12 inches

___in.

Answers

Answer:

60

Step-by-step explanation:

your welcome

True or false: (log x)2 = 2logx. Explain your thinking.

Answers

False
Well we can’t put 2 log x it’s opposite it’s 2 x log

What is the domain of the function?
Enter your answer in the box.
demos.

Answers

Answer: the x or the input of a function

Step-by-step explanation:

The x is domain of the function

Which graph is defined by the function given below?
y = (x-3)(x-3)

Answers

Answer: graph b

Step-by-step explanation:

Vertex:  ( 3 ,0 )

Focus:  ( 3 , 1 4 )

Axis of Symmetry:  x = 3

Directrix:  y = − 1 4

Other Questions
1. An expressions equated to another expression is called _______.2. If a = 5, the value of 2a + 5 is _______.3. The sum of twice and four times of the variable x is ______.need help ~ thx for answering~ Pls help I have problems with ela or engilish.Which detail from the text best supports the answer to Part A?For her entire career, Katherine insisted that no one person was responsible for any specific achievement.If we were off by just a few feet or seconds, they were done for, she remembered. The astronauts wouldnt have been able to return home.The Soviet Union took the lead again when it came to sending a man into space.The landing and successful return of Apollo 11s flight to the moon made headlines all around the world. And it could not have been possible without Katherines help. Please Help!__________Rule :- Don't answer Origin- Answer correctly Which of thefollowing uses thePreterit tense?A. Nicolas estaba muy nervioso y asustado.B. Ella estaba sorprendida.C. Hubo un fuego grande. The area of a rectangle is 21 cm. If one side exceeds the other by 4 cm, find the dimensions of the rectangle. A gold chain with an original price of $150 is on sale for $87 what is the percent of the discount Quick What is a difference in the qualifications of the governor and lieutenant governor?A The governor must be at least thirty years old, but the lieutenant governor can be twenty-five years old.B The governor must be a legal resident of Georgia for six years, but the lieutenant governor must be a legal resident of Georgia for three years.C The governor can only be elected for two consecutive terms, but the lieutenant governor can be elected for an unlimited number of consecutive terms.D The governor must be a United States citizen for at least fifteen years, but the lieutenant governor only needs to be a United States citizen for ten years. 4/9 + 9/18. Please help me as soon as possible, it's due today. Change 3/4 to a decimal! Please explain step by step to get marked as brainliest In Spinning a Yarn, the authors purpose is to persuade. Which of the following quotes from the article shows that the authors purpose is to persuade? A. The Inca Empire covered nearly 3,000 miles. B. More conclusive proof that the quipu is a language comes from an old manuscript, a series of handwritten pages from the 17th century. C. Quipus are made of wool strings that hang from a thick cord. On the strings are groups of knots. D. They made houses of stone blocks that fit together perfectly without mortar, a bonding material. Globalization and imperialism are two side of the same coin? Which sentence is the correct punctuation usage of the semicolon, colon, or comma?AProfessor Brown has left; the laboratory, however, you may still be able to reach her through email.BProfessor Brown; has left the laboratory however; you may still be able to reach her through email.CProfessor Brown has left the laboratory, however you may; still be able to reach her through email.DProfessor Brown has left the laboratory; however, you may still be able to reach her through email. are grapes protein or dairy what musical instrument appears on the label of guinness beer? 1- Maman dit a Ahmed ..ton cahier. (complete -completez- completes ) The function f(x) is shown graphed below. The function g(x) is defined by the formula: g(x)=-4f(x)+7What is the value of g(3)? Help me with this question (50 Brainly Points) Can someone help me solve this problems please? It's a physics problem. Which of the following is a central idea in the conclusion of the Declaration of Independence191 We tried to ( convince- convert- appeal ) her that she should move to a smaller flat