There were 3450 previously owned homes sold in eastern Washington in the year 2010. The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981. If all possible simple random samples of size 200 are drawn from this population and the mean is computed for each of these samples which of the following describes the sampling distribution of the sample mean?

a. Right skewed with mean of $406,274 and standard deviation of $49,981.
b. Approximately normal with mean $406,274 and standard deviation$249
c. Approximately normal with mean of $406,274 and standard deviation of $49,981.
d. Right skewed with mean of $406,274 and standard deviation $3534
e. Approximately normal with mean of $406,274 and standard deviation $3534

Answers

Answer 1

Answer:

e. Approximately normal with mean of $406,274 and standard deviation $3534

Step-by-step explanation:

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 'μ' and standard deviation 'σ' , the sampling distribution of the sample means with size 'n' can be approximated to a normal distribution with mean 'μ' and standard deviation s= σ / √n .

Given,The distribution of the sales prices of these homes was as strongly right-skewed with a mean of $406,274 and a standard deviation of $49,981 & Sample of Size 200 Are Drawn .

Now, By the Central Limit Theorem, the approximately normal Mean is $406,274 .

And,

Standard deviation ⇒ s= σ / √n ⇒ $49981 / [tex]\sqrt{200}[/tex]

⇒ $49981 / 10×√2 ⇒ $4998.1 / √2 ⇔ $3534.72 ≈ $3534


Related Questions

a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions ​

Answers

Answer:

WIDTH= 54yd, LENGTH= 216 yd

Step-by-step explanation:

Length can be denoted as L

Width can be denoted as W

From the question,

(L= 4W) ........... eqn(1)

But perimeter = [(2L + 2W)]........eqn(2)

Substitute eqn(1) into (2)

Perimeter= (8W + 2W) = 10W

From the question,

perimeter= 540 yd

540=10W

W=(540/10)= 54

W= 54 yd

Hence, WIDTH= 54yd

From equation (1) substitute W= 54 yd

(L= 4W)

L= (4×54)

L= 216 yd

Hence, LENGTH= 216 yd

The dimensions are WIDTH= 54yd, LENGTH= 216 yd

The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months

(Please help. I need this)

Answers

Answer:

Input - Output

2 - $290

12 - $690

24 - $1170

Step-by-step explanation:

Cost after n months:

The cost after n months is given by the following function:

[tex]C(n) = 40n + 210[/tex]

After 2 months:

This is C(2). So

[tex]C(2) = 40(2) + 210 = 80 + 210 = 290[/tex]

After 12 months:

This is C(12). So

[tex]C(12) = 40(12) + 210 = 480 + 210 = 690[/tex]

After 24 months:

This is C(24). So

[tex]C(24) = 40(24) + 210 = 960 + 210 = 1170[/tex]

Table:

Input - Output

2 - $290

12 - $690

24 - $1170

The first step to solve the equation StartFraction x over 4 EndFraction minus three-fourths = 16 is shown below.

StartFraction x over 4 EndFraction minus three-fourths + three-fourths = 16 + three-fourths

Which property was applied in this step?
Addition Property of Equality
Subtraction Property of Equality
Multiplication Property of Equality

Division Property of Equalit

Answers

ok so the first step to solve it is subtraction then it’s multiplication then additions

II. Which of the following is a solution of
the equation 25m 25?
A 0.10
B 0.15
C 0.18
D 0.30

Answers

Answer:

A 0.10

Step-by-step explanation:

We are given the following equation:

[tex]25m = 2.5[/tex]

Passing 25 to the right side of the equality, doing the inverse operation(division).

[tex]m = \frac{2.5}{25} = 0.1[/tex]

Thus, the correct answer is given by option A.

Will has a book that he wants to read that book is 36 chapters long if he reads 3 chapters a day how many days will it take Will to read the whole book?​

Answers

Answer:

It will take Will 12 days to read the whole book.

Step-by-step explanation:

36 ÷ 3

= 12

:))

36 ➗ 3 = 12

12 days .........

For a whole life inurance on (x), you are given the following:
• Z is the present value for the insurance benefits • Benefits are paid at the moment of death
• μ(t)=0.02,t≥0
• δ = 0.08
• bt =e0.03t,t≥0 Calculate Var(Z).

Answers

Answer:

chjggjhchhhv

Step-by-step explanation:njbjbkk,

HELPP what is the area of this cylinder

Answers

Answer:

1,884

Step-by-step explanation:

The formula for solving the area of a right cylinder like this one is:

=2πrh+2πr2

Note:

Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.

-kiniwih426

Donte simplified the expression below.

4(1+3i)-(8-5i)
4+3i-8+5i
-4+8i

What mistake did he make?

Answers

He did not apply distributive property correctly for 4(1 + 3i)

Instead of 3i, it should be 12i.

Answer:

A. He did not apply the distributive property correctly for 4(1+3i)

Step-by-step explanation:

Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
why not.

Answers

Answer:

she is correct because there is not common factor of 3 and 8 so it cannot be factored

Step-by-step explanation:

A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?

Answers

Answer:

27.4 feet down deep

Step-by-step explanation:

28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up

leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea

Answer:

27.4 feet

Step-by-step explanation:

.3 ft per sec for 6 sec = 1.8 feet

.3 ft per sec for 4 sec = 1.2 feet

28 - 1.8 + 1.2 = 27.4

F(x)<0 over (- infinity, -3) and what other interval? (-2.4,-1.1)

Answers

Answer:

option 4 is the answer to this question

Answer:

D

Step-by-step explanation:

complete the equation describing how X and Y are related.

Answers

Answer:

y=3x-2

Step-by-step explanation:

Phương trình có dạng: ax+b=y

Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:

-2a+b=-8 và –a+b=-5

Giải hệ phương trình ta được a=3, b=-2


PLEASE HELP DUE IN 15 MINUTES

Answers

9514 1404 393

Answer:

3280

Step-by-step explanation:

The equation y = 8x means the value given for x is multiplied by 8.

1. 8 × 4 = 32 . . . scales in 4 days

2. 8 × 10 = 80 . . . scales in 10 days

You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?

Answers

Answer:

24

Step-by-step explanation:

Need help on this one problem plz!​

Answers

sineangle=5/13 so sin-1(5/13)= 22.61


GEOMETRY PLEASE HELP!!!!!!!

If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?

A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²

Answers

Answer:

1.5 units^2

A

Step-by-step explanation:

AB (the base) = 4 - 1 = 3

AC (the height) = 5 - 1 = 4

Area = 1/2 * b * h

Area = 1/2 * 4 * 3

Area = 6 units^2

Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.

So AB becomes 1.5

AC becomes 2

The area of the new triangle = 1/2 * 1.5 * 2 = 1.5

Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.

Find the area of the sector in
terms of pi.
270°
12
Area = [?]

Answers

Answer:

[?] = 108

Step-by-step explanation:

[tex]270^\circ[/tex]  is  3/4 of a whole revolution:  [tex]\frac{270^\circ}{360^\circ}=\frac{3}{4}[/tex] so the area of the sector is 3/4 of the area of the entire circle.

Area of a circle:  [tex]A=\pi r^2[/tex]

Area of the sector:  [tex]\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi[/tex]

Write the equation in standard form for the circle with center (0, -2) and radius 7.

Answers

Answer:

(x)^2+ (y+2)^2 = 49

Step-by-step explanation:

The standard form of a circle is

(x-h)^2+ (y-k)^2 = r^2 where (h,k) is the center and r is the radius

(x-0)^2+ (y--2)^2 = 7^2

(x)^2+ (y+2)^2 = 49

Calculate the value of 3x³ -2x²- 9x+2 if x= -2​

Answers

Answer: -12

Step-by-step explanation:

3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N

3(-8) - 2(4) - 9(-2) + 2 = N

-24 - 8 + 18 + 2 = N

-12 = N

Please hurry
A rectangular prism has a length of 9 cm, a width of 3 cm, and a height of 5 cm.
5
9
Which expressions can be used to find the volume of the prism?
Choose two correct answers.
(5)(3)(9)
27(5)
9(3+5)
5 (279)

Answers

Answer:

the first one and the second

Step-by-step explanation:

.

In how many ways can the digits in the number 7,555,111 be​ arranged?

Answers

Answer:

below

Step-by-step explanation:

That's the answer below

7!/(3!2!)

=420

A store donated a percent of every sale to charity The total sales were ​$9,850 so the store donated ​$591. What percent of ​$9,850 was donated?

I need the answer asap!

Answers

Answer:

Well, 10% of 6640 is $664, and $332 is half of that, so 5%

Missing: ​$9850 ‎​$591.

Step-by-step explanation:

Answer:

espero ayudarte ..............

what is 2.8436 rounded to the nearest thousandth?​

Answers

Answer:

2.844

Step-by-step explanation:

2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!

Answer:

2.84

Step-by-step explanation:

2.8436 is rounded to the nearest thousands we get 2.84

If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)

Answers

9514 1404 393

Answer:

largest: 1024 m²smallest: 0 m²

Step-by-step explanation:

The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

The largest enclosed area is (32 m)² = 1024 m².

__

The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

The smallest enclosed area is (64 m)(0 m) = 0 m².

_____

"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

Can someone do the work for me ?

Answers

Answer:

ill try

Step-by-step explanation:

I have a linear equation word problem pic to follow ​

Answers

Yes, go ahead , where is pic?

The data given to the right includes data from 30 ​candies, and 5 of them are red. The company that makes the candy claims that 32​% of its candies are red. Use the sample data to construct a 90​% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32​%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%

Answers

100% expansión explanation


[tex]xy = 3xy + 25 \\ 3 = y - 20[/tex]
solve for x andy

Answers

Answer:

x= -0.5

y= 23

Step-by-step explanation:

3=y-20 so y= 23

xy=3xy+25

23x=69x+25

-46x= 25

x=-0.5

X= 0.5. Solving for Andy

Which choice represents the fraction below as a single exponential expression? (ap3x)

Answers

Answer:

d^5

Step-by-step explanation:

d^8 / d^3

We know that a^b / a^c = a^(b-c)

d^(8-3)

d^5

which choic below rrpresents the fraction as a single exponential expression

Option b


How much flour would Henry need to make 15 batches of cookies

Answers

Answer:

he would need around 20 cups of flour depending on how much the recipe calls for

Other Questions
1. Tyrone is riding his newly bought motorcycle at 30 m/s when he sees a cat on the road ahead. He applied immediately the brakes and comes to a stop in 3.0 s. What was the acceleration of his motorcycle?Given:Asked:Solution:Final Answer:2. A jeepney speeds up from 50 km/h to 60 km/h to overtake a truck. If this requieres 20 s, what is the (a) acceleration and (b) distance traveled by the car?Given:Asked:Solution:Final Answer:Pls help Does the love volunteers organisation have a negative or positive impact on the community Mindy puts a rectangular poster of her favorite singer on a wall in her bedroom. What is the perimeter of the poster? Which of the following graphs is described by the function given below?y = x^2 - 6x - 16A. Graph AB. Graph BC. Graph CD. Graph D What is speed in a specific direction called Who led the Polish nationalist movement Solidarity?-Lech Walesa-John Paul- Nicholas Copernicus-Petr Czech Read this excerpt about Elizabeth Van Lew from The Dark Game.She became a spymaster, the person responsible for running a network of agents, couriers, and safe houses that was very active during the war. In addition to the spying, Elizabeth Van Lew continued to maintain her Church Hill home as a safe house and something of a local Union spy headquarters.How does this excerpt develop the central idea that Elizabeth Van Lew helped expand the role of women in society? Check all that apply. Boswell Company reported the following information for the current year: Sales(50,000 units) 1,000,000, direct materials and direct labor 500,000, other variable costs 50,000, and fixed costs 360,000. What is Boswellcontribution margin ratio? Which of the following is an example of a successful cyber terrorist attack?A. the sharing of military plans on a public websiteB. a hacker stealing classified government informationC. an informant revealing government spying to the mediaD. the widespread collection of data from social media sites The HR recruiting specialist and line managers at Clearwater Electronics work closely together when hiring new employees . The line managers are ultimately responsible for the final selection of a new employee , but the HR recruiting specialist serves an important role by providing information about potential employees and arranging for interviews . Why is this service helpful to the line managers ? The recruiting specialist can help the line managers from rushing the hire because there is an immediate need to fill positions The recruiting specialist can help the line managers from expecting too much too soon from new employees . The recruiting specialist can help the line managers from interviewing applicants who are not qualified for the positions . The recruiting specialist can help the line managers from relying too much on the interview , a common recruiting pitfall . Are offensiveCriticize thegovernment'spolicies (%)to yourAre offensiveto minoritygroups (%)religion orbeliefs (%)Aresexuallyexplicit(%)Call toviolerprotes(%)United States9567775244Globally8035352625According to the data, which of the following statements best explains the value of free speech to socialmovements?O Americans overwhelmingly favor free speech without limitations when supporting social movements.O Social movements in the United States enjoy fewer popular constraints on free speech than social movements inother countries.Social movements in other countries are less constrained by limitations on free speech than social movements inthe United States.O People in other countries support more limits on free speech, but they are involved in more social movements thanAmericans What best defines gene flow Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval ABCD and EFGH are rectangles with AB=10cm ,BC=7cm ,EF=7cm and FG =4cm ,all figures accurate to the nearest cm . Find the largest possible value of the shaded area . * Help please???!!!!!!! Need urgent help for this math question will give brainliest (a) Describe why DNA replication is said to be a semiconservative process. Explain how random mutations such as those in pathogens with a mutator phenotype may arise in the DNA of an organism. A traumatic injury to the inferior angle of the mandible severs the hypoglossal nerve. Which of the following muscles would be affected?a. Geniohyoid b. Mylohyoid c. Genioglossus d. Stylohyoid Jane bought 6 dozen banana at $250per dozen. She sells four and a half dozen at $35 each and the other were sold at $20 each. Determine if she made a profit or loss state her profit or loss as a percentage. Show working Given the table of the following quadratic function, which statement about this function is NOT true?A. The y-intercept of f(x) is 6.B. The zeros of the function f(x) are -3 and 1.C. The minimum of the function f(x) is 8.D. The axis of symmetry of the function f(x) is x = -1.