A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is taking longer than before to sell a house. The wife is concerned and wants to know when it is optimal to put their house on the market. Her realtor friend informs them that the last 29 houses that sold in their neighborhood took an average time of 230 days to sell. The realtor also tells them that based on her prior experience, the population standard deviation is 35 days.
a. What assumption regarding the population is necessary for making an interval estimate of the population mean?
Assume that the population has a normal distribution.
Assume that the population has a uniform distribution.
b. Construct a 90% confidence interval of the mean sale time for all homes in the neighborhood.

Answers

Answer 1

Answer:

a. Assume that the population has a normal distribution.

b. The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.

Step-by-step explanation:

Question a:

We have to assume normality.

Question b:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.645\frac{35}{\sqrt{29}} = 10.69[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 230 - 10.69 = 219.31 days.

The upper end of the interval is the sample mean added to M. So it is 230 + 10.69 = 240.69 days.

The 90% confidence interval of the mean sale time for all homes in the neighborhood is between 219.31 days and 240.69 days.


Related Questions

what is vaule of y when x=4'5

Answers

Answer:

[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]

Step-by-step explanation:

Given

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

[tex]x = \frac{4}{5}[/tex]

Required

Find y

[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]

Substitute [tex]x = \frac{4}{5}[/tex]

[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]

[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]

Collect like terms

[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]

[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]

Split the surd

[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]

Rationalize

[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]

[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]

Take LCM and add

[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]

[tex]y = \frac{2\sqrt5+6}{5}}[/tex]

or solve as:

[tex]y = \frac{2*2.24+6}{5}}[/tex]

[tex]y = \frac{10.48}{5}[/tex]

[tex]y = 2.096[/tex]

Is this linear, exponential growth, exponential decay, or neither?​​

Answers

Answer:

Linear Exponential Decay.

Step-by-step explanation:

It is linear exponential decay,

it is decreasing by -7,

everytime x goes up 1, y goes down -7,

this line has a slope of -7/1.

Slope: -7x

y-intercept: (0,2)

Answer this please I’ll give brainalist + points, please help!

Answers

Answer:

The answer is C because the largest mode is the longest set with the biggest numbers

Step-by-step explanation:

The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of minutes and a standard deviation of 1 minute. Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.

Answers

Answer:

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

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.

Standard deviation of 1 minute.

This means that [tex]\sigma = 1[/tex]

Find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than minutes.?

This is the pvalue of Z for X. So

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

[tex]Z = \frac{X - \mu}{1}[/tex]

[tex]Z = X - \mu[/tex]

The probability is the pvalue of [tex]Z = X - \mu[/tex], in which X is the number of minutes we want to find the probability of time being less of, and [tex]\mu[/tex] is the mean.

NEED ANSWER ASAP PLS WILL MARK BRAINLIEST

Answers

Answer:

the answer for this is option C 4x/x+5

Answer:

x + 5/ x - 3

Step-by-step explanation:

expand 4x²+16 to get:

4x(x+4)

then multiply by the reciprocal to cancel the 4x(x+4) leaving you with x + 5/ x - 3

Eddie wanted to know more about how the cost of fertilizer for his lawn-care business was changing. The cost of a bag of fertilizer just increased from $10 to $15. What is the percent increase of the price?

Answers

The precent increase 1/3rd

The graph below shows which system of inequalities?

Answers

The answer you were looking for is

Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?

Answers

Answer:

1507.96

Step-by-step explanation:

PLS HELP ITS DUE TODAY

1pt Sort the real-world objects into the category that correctly identifies the combination of shapes that would best model that object.
Sphere and cylinder
A case of soda in a box
Cube and sphere
Tennis balls in a tube
Doghouse with a pointed roof
Triangular prism and cube
Bowling ball in a box
Cylinder and rectangular prism

Answers

Step-by-step explanation:

sphere and cylinder=Tennis ball and tube

cube and sphere=Bowling ball in the box

Triangular prism and cube=doghouse with pointed roof

cylinder and rectangular prism=case of soda in box

Answer:

Sphere & Cylinder --> Tennis balls in a tube

Cube & Sphere --> Bowling ball in a box

Triangular Prism & Cube --> Doghouse with a pointed roof

Cylinder & Rectangular Prism --> Case of soda in a box

3 x f(−4)−3 x g(−2)=

Answers

Answer:

−12+6

Step-by-step explanation:

Mr. Dimaggio is making his famous pasta sauce. He uses 8 cups of tomatoes to make 2 quarts of sauce. How many cups of tomatoes will he need to make 12 quarts of the sauce?

____________ = ______________


Please help me!!!!!!!!!

Answers

Answer:

48 cups of sauce

Step-by-step explanation:

You would do 6*8 because 6*2 is 12 and you need 12 quarts of sauce

Hope that helped

William throws a football at a rate of 60 feet per second. How long will it take the football to travel 120 feet?
A. 2 sec.
B. 3 sec.
C. 4 sec.
D. 6 sec.

Answers

A - just double it hope it helps

Answer:

A

Step-by-step explanation:

Convert 2,36hrs to hrs, minutes and seconds

Answers

The answer is 3.93 hours. This is because in one hour there are 60 minutes so you would need to divide your number 236 by 60 and you should end up with 3.9333, which rounded to would just be 3.93 hours in total.

Hope that helps!

for a triangle with the lengths of its sides of 5,13 and 14, determine if it is a right angle

Answers

Answer:

it is

Step-by-step explanation:

Sam is designing an open wooden box in the shape of a rectangular prism. The base of the box will be 6 feet by 8 feet. He has not yet decided what the height will be.

Answers

Answer:

10ft

Step-by-step explanation:

Let assume the volume of the box be 480ft^3

Required

height h

Volume of the box = length * width * height

Substitute

480 = 8 * 6 * h

480 = 48 * h

h = 480/48

h = 10ft

Hence the height of the box if the volume of 480ft^3 is 10ft

WHATS 20-11 ANSWER OR DAII

Answers

Answer:

9

Step-by-step explanation:

20-11=9

☁️ Answer ☁️

9

Take 11 away from 20

Have a nice day noona/hyung.

Write an expression equivalent to
b10/b5
in the form bm.

Answers

Answer: M equals 7. So it would be b^7. When you multiply exponents you add them. When you divided them you subtract

Step-by-step explanation:

The equivalent expression will be b⁵.

What is an expression?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc.

Given an expression b¹⁰/b⁵,

We need to find an equivalent expression for the same,

So,

Using the identity,

mᵃ ÷ mᵇ = mᵃ ÷ mᵇ

= m⁽ᵃ⁻ᵇ⁾

Therefore,

b¹⁰/b⁵ = b⁽¹⁰⁻⁵⁾

= b⁵

Hence, the equivalent expression will be b⁵.

Learn more about expression click;

https://brainly.com/question/14083225

#SPJ2

PLEASE SAY A,B,C OR D OF THE RIGHT ANSWER ONLY PLEASE! no links or flies, x .

You cut a candy bar into 8 equal pieces. You gave 3/8 of it to your sister and 2/8 to your brother. Which equation represents the fraction of the candy bar you gave away?


3/8 – 2/8 = 1/0

3/8 + 2/8 = 5/8

3/8 – 2/8 = 1/8

3/8 + 2/8 = 5/16

Answers

Answer:

B

Step-by-step explanation:

3/8 + 2/8 = 5/8

Jeremy has 5 of a pound of rice. Shaila has to of a pound of rice.
Which statement best describes the total amount of rice that Jeremy and Shaila have?

Answers

Hi, you've asked an incomplete question. The full question reads;

Jeremy has 5/6 of a pound of rice. Sheila has 7/10 of a pound of rice. Which statement best describes the total amount of rice that Jeremy and Sheila have?

a. Together they have less than 1 pound of rice because each person has less than 1/2 of a pound of rice.

b. Together they have less than 1 pound of rice because each person has less than 1 pound of rice.  

c. Together they have more than 1 pound of rice because each person has less than 1 pound of rice.

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Answer:

d. Together they have more than 1 pound of rice because each person has more than 1/2 of a pound of rice.

Step-by-step explanation:

Indeed, we could simply find the solution by simply bearing in mind that half a unit is represented by 0.5 ([tex]\frac{1}{2}[/tex]).

Hence, since we are told Jeremy has 5/6 (0.83), we can add it up with that of Sheila's 7/10 (0.7), which leads us to the conclusion they both have more than 1 pound of rice (0.83+0.7= 1.53 pounds of rice).

Which function has a domain where x=3 and a range where y=2 ?

Answers

Answer:

x times y is 6

This is the simplest one

Step-by-step explanation:

x=3 and y=2

Answer:

(3,4)

Step-by-step explanation:

so domain is the x value and range is the y value so to find the domain it is

(3,4)

Hope that helps :)

Need help!!!!!!!!!!!!!!!!!

Answers

Okay I will help you but I need to know the area can you plz put the circle for I can see the area.?

find the slope and y-intercept

Answers

Answer:

m = -4/5

b = 4

Step-by-step explanation:

Original price of a computer: $2,600.00
Tax: 6%
What is the sales tax for this computer?

Answers

Answer:

156 is the tax

Step-by-step explanation:

2600 x .06 = 156

ABCD is a rhombus. The measure of angle <1 = 58°

true
or
false ​

Answers

Answer:

False

Step-by-step explanation:

In a rhombus, the diagonals are always perpendicular.


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

<g = 129°

alternate interior angles

Step-by-step explanation:

hope this helps! :)

G is 129°

Angles g and f are vertical angles.

the image is to show why :)

A sample of a radioactive isotope had an initial mass of 640 mg in the year 2010 and decays exponentially over time. A measurement in the year 2014 found that the sample's mass had decayed to 440 mg. What would be the expected mass of the sample in the year 2024, to the nearest whole number?

Answers

Answer: 172

Step-by-step explanation:

Help needed , I don’t understand

Answers

Hello!

This problem is about relating parallel and perpendicular lines with a given point.

What we need to know here is that parallel lines will have equal slopes, while perpendicular lines will have opposite and reciprocal slopes.

Using this information, let's look at the first part.

We are asked to find a parallel line to the line [tex]y=6x-6[/tex] that passes through the point [tex](4,-3)[/tex].

Since we know that parallel lines have the same slope and we are given a point, we can solve for the y-intercept after setting up and equation.

[tex]y=6x+b[/tex]

[tex]-3=6(4)+b[/tex]

[tex]b=-27[/tex]

So the line would be [tex]y=6x-27[/tex].

Let's look at the second part, where we are asked to find a perpendicular line that passes through the same point.

We know that perpendicular lines have an opposite reciprocal of a slope, and using that information, we can go through the same process and solve for the equation.

[tex]y=-\frac{1}{6}x+b[/tex]

[tex]-3=-\frac{1}{6}(4)+b[/tex]

[tex]b=-\frac{7}{3}[/tex]

So the line would be [tex]y=-\frac{1}{6}x-\frac{7}{3}[/tex].

Hope this helps!

A prism is filled with 59 cubes with 1 2 unit side lengths. What is the volume of the prism in cubic units?

Answers

Answer:

V = 2832 m3 only if that 1 2 is a 12 if that is not a 12 it is wrong

Step-by-step explanation:

Find the value of x.

Answers

2x+1+71=180
2x+72=180
2x=180-72
2x=108
x=54

answer ;

2x + 1 + 71 = 180 2x + 72 = 180 2x = 180 - 72 = 108x = 108/2

( refer the attachment for division )

hence , x = 54

If u want to know what students think is the best season of the school year from school 76, what is the best way sample the students?

Answers

Answer:

B, it should be

Step-by-step explanation:

because its not A, because its just 7th and 8th

its not C, cause thats JUST 5th grade

its not D, because its part of a class, not the entire school.

Mark me Brainlest

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