In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Answers

Answer 1

Answer:

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month

Step-by-step explanation:

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

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

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.

Mean of $2,275 and a standard deviation of $290.

This means that [tex]\mu = 2275, \sigma = 290[/tex]

Sample of 65:

This means that [tex]n = 65, s = \frac{290}{\sqrt{65}}[/tex]

Finding the mean to be at least $2,095 per month

This is 1 subtracted by the p-value of Z when X = 2095. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}[/tex]

[tex]Z = -5[/tex]

[tex]Z = -5[/tex] has a p-value of 0.

1 - 0 = 1

100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month


Related Questions

Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp

Show work please

Answers

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

Can somebody recommend me some horror, psychological, yandere, and/or thriller anime?

Anything besides these would be appreciated:

1. Angels of Death
2. Shiki
3. Re:Zero
4. Corpse Party
5. Magical Girl Site
6. Happy Sugar Life
7. SCHOOL-LIVE!
8. Talentless Nana
9. Higurashi
10. Wonder Egg Priority
11. Shadows House
12. Blood C
13. To Your Eternity
14. Puella Magi Madoka Magica
15. Another
16. The Lost Village
17. Serial Experiments Lain
18. Chaos;Head

Answers

Answer:

the future diary  

Step-by-step explanation:

I watched Future Diary on Hulu, its a really good anime, its more of a yandere type of anime, hope you enjoy it!

No links please 15 Points

Answers

Answer:

C

Step-by-step explanation:

Use systems of linear equations solve x+2y=4

Must include;
Step to solve problem


Answers

Answer:  y=2-2x

Step-by-step explanation:

A circle has a diameter of 10 centimeters.

What is the best approximation of its area?

Use 3.14 to approximate for π.


15.7 cm²

31.4 cm²

78.5 cm²

314 cm²

Answers

Answer:

78.5 (please put brainliest)

Step-by-step explanation:

r = diameter / 2 = 5

area = π * r^2 = 25 * 3.14 = 78.5

Answer:

78.5 m^2

Step-by-step explanation:

Katy put $3000 into his bank account.  If the account pays 6% interest compounded continuously, when will it be worth $6000?   Round to 3 decimal places.​

Answers

Answer:

11.55 years

Step-by-step explanation:

Given data

Principal= $3000

Rate= 6%

Final Amount= $6000

expression for the time is given as

t = ln(A/P) / r

Substitute

t= ln(6000/3000)/0.06

t= ln(2)/0.06

t= 0.693/0.06

t= 11.55 years

Hence the time is 11.55 years

i need assistance please

Answers

i got 22%! hope this helps

struggling with homework!!

Answers

Answer:

40

Step-by-step explanation:

if 20% were Caesar and 20 divided by 5 is 4, then every four salads sold is five percent.

Please answer for branliest

Answers

38/92 is the probability
38/ (38+30+24)

5th grade math. correct answer will be marked brainliest

Answers

Answer:

4ft, 7 inches

Step-by-step explanation:

4 ft (48 inches), 7 inches

P the sun was actually gonna owoe

Learn with an example
Isaac earns $16 for each hour of babysitting. How many hours in all will it take Isaac to
earn a total of $32?

Answers

Answer:

It would take 2 hours for Isaac to earn $32

Step-by-step explanation:

16*2=32

Evaluate the following expression if x= 2.14
3.35x + 25 - 2x

Answers

Answer:

The final answer is 27.889 (Feel free to round it)

Step-by-step explanation:

3.35 x 2.14 = 7.169

7.169 + 25 = 32.169

2 x 2.14 = 4.28

32.169 - 4.28 = 27.889

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

27.88 is the answer

Can someone please help?

Answers

Answer:

it's the top right box

Step-by-step explanation:

start from the first box and count how many units was added

it’s the top right love :)

If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters. True False​

Answers

Answer:

True

Step-by-step explanation:

The Answer is 75.36 cm

2 x (pi)3.14 = 6.28

6.28 x (r)3 = 18.84

18.84 x (h)4 = 75.36

The statement, "If the radius of a cylinder is 3 centimeters and the height of the cylinder is 4 centimeters, then the area of the lateral surface is 75.36 square centimeters." is true.

What is cylinder?

"A cylinder is a three-dimensional geometrical structure which consists of two circular bases connected with a curved surface."

Formula to calculate the area of the lateral surface of a cylinder:

For a cylinder with radius r and height h,

the curved / lateral surface area is,

A = 2 × π × r × h

Given: r = 3 cm, h = 4 cm

Using the formula for area of lateral surface of a cylinder:

⇒ A = 2 × π × 3 × 4

⇒ A = 24 × π

⇒ A = 24 × 3.14

A = 75.36 sq.cm.

Therefore, given statement is true.

Learn more about lateral surface area of cylinder here:

https://brainly.com/question/14192465

#SPJ2

What is the distance between (2, 5) and (2, -7)?
Question 1 options:
2
5
12
14

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Plz help ASAP plz help

Answers

Answer:

no solution for the answer

160% of what number 56?

Answers

Answer:

160% of 35 is 56.

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{160}{100}[/tex]

y · 160 = 56 · 100

160y = 5600

160y ÷ 160 = 5600 ÷ 160

y = 35

find the difference between 0.1 kg and 75g​

Answers

Answer:

25 g

Step-by-step explanation:

0.1 kg can be written as 100 grams

& 75 g

while 1 kg is 1000 grams

so difference:-

(100- 75 ) grams

= 25 g

The difference between 0.1 kg and 75 g is 25 grams. To find the difference between 0.1 kg and 75g, you need to make sure both quantities have the same unit.

Since 1 kg is equal to 1000 g, you can convert 0.1 kg to grams:

0.1 kg = 0.1 * 1000 g = 100 g

Now, the two quantities are in the same unit:

0.1 kg - 75 g = 100 g - 75 g = 25 g

So, the difference between 0.1 kg and 75 g is 25 grams.

To know more about difference:

https://brainly.com/question/30241588

#SPJ2

The triangles below are similar. Find the length and round to the nearest tenth if necessary.

Answers

Answer:

x=48

Step-by-step explanation:

You start with the values of 4 and 16. Figure out how many times 4 goes into 16, which is 4. (4*4=16)

Now, since 4 is multiplied by itself to reach the value of 16, 12 will also be multiplied by 4 to give you the value of x.

I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS
please help this is very important
this is a big part of my grade

Answers

the answer is d !! have a good day

Answer:

pretty sure the answer is electrons  so D

Step-by-step explanation:

Electrons are particles that surround the nucleus of an atom like a cloud

what is the answer to 3(x-2)+15=-3(x-3)
i will give brainliest

Answers

Answer:

x = 0

Step-by-step explanation:

3(x - 2) + 15= -3(x - 3)

3x - 6 + 15 = -3x + 9

3x + 9 = -3x + 9

3x + 3x = 9 - 9

6x = 0

x = 0

Which equation in rectangular form describes the parametric equations x=2-3 cos t and y=1+4 sin t?​

Answers

Answer:

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Step-by-step explanation:

We proceed to use the following trigonometric identity to derive an expression in rectangular form:

[tex]\cos^{2} t + \sin^{2} t = 1[/tex] (1)

Where:

[tex]\cos t = \frac{2-x}{3}[/tex] and [tex]\sin t = \frac{y-1}{4}[/tex]

Then, we expand the expression as follows:

[tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex] (2)

The parametric equations represents an ellipse by the rectangular equation [tex]\frac{(x-2)^{2}}{9} + \frac{(y-1)^{2}}{16} = 1[/tex].

Find the area of each figure. Round to the nearest tenth. Use 3.14 or 22/7
a. 18.8
b.9.4
c. 113
d. 28.3 ​

Answers

Answer:

d. 28.3

Step-by-step explanation:

Given

Radius ( r) = 3 m

Area of the circle

= π r²

= 3.14 * 3* 3

= 28.26

= 28.3 ft²

Use formulas to find area

Answers

120.08 u just had to multiply

Answer:

120.08

Step-by-step explanation:

15.8 x 7.6

-> 120.08 [tex]m^2\\[/tex]

what is 2+2 4+4 8+8 i need math help

Answers

Answer:

2+2 is 4 4+4 is 8 8+8 is 16

Step-by-step explanation:

if you need them added up here: 4+8 =12 12+16 = 28

Two parallel lines are cut by a transversal. What is the measure of <1?

A 80
В. 180
C. 100
D. 90

Answers

Answer:

C - 100

Step-by-step explanation:

9514 1404 393

Answer:

  C.  100°

Step-by-step explanation:

Consecutive (same-side) exterior angles are supplementary.

  ∠1 = 180° -∠7 = 180° -80°

  ∠1 = 100°

Simplify the expression:
9f2 - 10 - 1 + 2/2 + -772​

Answers

Answer:

4f^2-11

Step-by-step explanation:

Planes A and B intersect. Which describes the intersection of plane A and line m? Oline k B m Olinen À point X O point W X 3 k Y Z​

Answers

The intersection of plane A and line m can be describes as line m .

What is reflectional symmetry?

Let's a plane. Consider a design or shape on that plane. Now consider an axis.

If we think of that axis as a mirror, and on the opposite side of that axis create the image of the considered shape, then if the shape's image looks exactly as the shape itself, therrefore that shape is called to have a reflectional symmetry.

Given that Planes A and B intersect.

We can see the two walls as planes in geometry.

A plane can be thought of as a wall or a floor of a room also a flat surface that has no thickness.

When two planes intersect, their intersection is a line.

Learn more about symmetry here:

https://brainly.com/question/7783612

#SPJ7

The base of the sandbox is shaped like a parallelogram. He parallelogram base has an area of 9 square feet and the sand box gas a volume of 13.5 cubic feet. What is the height of the sandbox?

Answers

Answer:

1.5 feet

Step-by-step explanation:

V = base area x height

divide the two members by the base area

height = V/ base area

height = 13.5 / 9 = 1.5 feet

The Unit Circle

What is the period for the graph of y = cos(∅)? (Sketch a graph to help determine the answer)

a. 180°
b. 90°
c. 360°
d. 270°

Please select the best answer from the choices provided

Answers

Answer:

C. 360°

Step-by-step explanation:

I calculated it logically

Answer:

Answer is C) 360°

Step-by-step explanation:

Other Questions
The religion of Buddhism began after Siddhartha Gautama? Solve this system of equations by using the elimination method. 2x - 2y = 2. 5x + 2y = 12 (2, [?]) Im really struggling with this, i need A on this test please help me!Question 4 options:The volume of the square pyramid is ___ cubic centimeters. To which parts of the United States did most African Americans migrate during the Great Migration that followed WorldWar II?A. northern and southernB. eastern and southernC. southern and westernD. northern and western HELP PLEASE!! a space station orbits earth at a rate of 57 miles every 3 seconds Write the space stations rate of change Select the correct answer.Which is the first step that managers should take to resolve a conflict within a diverse team?allow each individual to offer a solutionencourage each individual to propose a mediatorget each individual to state the problem from his or her viewpointaapproach senior management for a solution 8. If your instructor asked you to explain what can happen to foreign particles thatenter the respiratory system, which of the following would not be included in yourexplanation? How did the Korean Conflict reflect the political competition between the Soviet Union and the United States? The Soviet Union sent troops into Korea to gain a naval base on the Sea of Japan, while the United States convinced the United Nations to enact sanctions against the Soviets to reverse their gains. The Soviet Union sent troops and supplies to defend North Koreas communist government after the United States and South Korea attempted to unify the two nations under one democratic government. The Soviet Union allied with Vietnam to reclaim the Korean Peninsula under communist control, while the United States accepted Great Britains assistance in opposing Vietnamese aggression. The Soviet Union supported North Koreas attempt to unite the Korean Peninsula under a communist government, while the United States sent troops and supplies to defend the democratic government in South Korea. Types of Lovein paragraph form. Times New Roman, 12-font, double-spaced.-An almost infinite variety of types of love exists. The love for parents for their children is very different from the love of brothers for their sisters, of wives for their husbands, of kids for their pets, and on and on.-Choose two (2) people in your life whom you love, and explain how your love for each of them is different. A cake weighs 215 g and is shared equally between five people. What weight of cake does each person receive? which quotation shows jaques in a positive light?a) "He was supposed to be sensual and a fast liver. It was therefore by the mere Grace of the form that he was at first captured"b) "I-i have a child and the mother has just died"c) " he looked for a long time at the envelope, the writing on which he did not know, not daring to open it, not wishing to read it, with a wild desire to put it in his pocket and say to himself: "I'll leave that till tomorrow, when I'm far away!"d) "as no one had much faith in his constancy, the test was prolonged through the winter, and Berthe's hand was not granted him until the spring" What is the distance between (-2,-8)(7,-3) A certain mass of water was heated with 41,840 Joules, raising its temperature from 22.0C to 28.5 C. Find themass of the water. How do muscles move? 30. Why did Korinna want to turn in herparents?a. Because they were traitorsb. Because they were hidingforbidden booksC. Because they were stealing foodd. Because they hated Korinna The antidefamation league has primarilyhelped what group of people? Explain what cardiovascular exercise is in your own words. Explain the benefits of it and how it is different than muscular strength. Give 3 examples of cardiovascular exercises/activities The makers of MaxGrow want to ensure customers that their product will work under a wide variety of conditions such as a variety of watering conditions (no added water or watering daily) and how much fertilizer was used (no fertilizer, half fertilizer, or full fertilizer). The researchers randomly choose which group each tomato plant will be assigned to. At the end of the experiment, the number of tomatoes picked from each tomato plant is recorded.a. Identify the subjects.b. Explanatory variables c. Treatments d. Response variable Who do you think is fasterA: LeviB: Killua I just need help in this last question plsssss