A real-estate company appraised the market value of 36 homes in Lyttelton and found that the sample mean and standard deviation were $150,000 and $17,000 respectively. The real-estate company also appraised the market value of 45 homes in Aranui and found that the sample mean and standard deviation were $100,000 and $12,000 respectively. Calculate the 90% confidence interval estimate for the population difference in market value between the Lyttelton and Aranui areas .

Answers

Answer 1

Solution :

                    Sample size       Sample mean             Sample S.D.

Sample 1        [tex]$n_1=36$[/tex]              [tex]$\bar{x}_1=150,000$[/tex]               [tex]$s_1=17,000$[/tex]

Sample 2       [tex]$n_2=45$[/tex]              [tex]$\bar{x}_2=100,000$[/tex]               [tex]$s_2=12,000$[/tex]

[tex]$df = \frac{\left(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}\right)^2}{\frac{1}{n_1-1}\left(\frac{s_1^2}{n_1}\right)^2+\frac{1}{n_2-1}\left(\frac{s_2^2}{n_2}\right)^2}$[/tex]

   = 60

Therefore, significance level, α = 0.1

Critical value, t* = 1.6706

So, the margin of error, [tex]$t^*=\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$[/tex]

                                          = 559.9896

Lower limit, [tex]$(\bar x_1-\bar x_2)-\text{(margin of error)}=44402.0104$[/tex]

Upper limit,  [tex]$(\bar x_1-\bar x_2)+\text{(margin of error)}=55597.9896$[/tex]

Therefore 90% C.I. is (44402.0104, 55597.9896)   or [tex]$44402.0104 < \mu_1 - \mu_2 < 55597.9896$[/tex]


Related Questions

10 points ! I’m really trying to pass this but I just don’t get it. help pls! :((

Answers

Answer:

how about you stop being confused

Step-by-step explanation:

just read the question

There are 5 roses for every 9 carnations in a bouquet. Mr.Rodriguez buys a bouquet with 42 flowers in it. How many carnations are in the bouquet Mr.Rodriguez bought?

Answers

Answer:

I think its eight but I could be wrong

Answer:

27

Step-by-step explanation:

i dont know how to describe what i did but it is correct

please help meeee

from edge about graphing an absolute value function

determine the domain and range of the function f(x)= -|x| + 2.
the domain of the function is__________
the range of the function is__________

the options are: all real numbers, all numbers greater than or equal to 2, and all numbers less than or equal to 2

Answers

Answer:

For the given function f(x)= -|x| + 2

the domain of the function is: All real numbers

the range of the function is: all numbers greater than or equal to 2

Step-by-step explanation:

We need to find the domain and range of the function f(x)= -|x| + 2.

Domain: Domain is defined as all the possible x values of x for which the function is true.

Range: Range is defined as all the possible y values.

So, For the given function f(x)= -|x| + 2

the domain of the function is: All real numbers (the function is true for all real numbers)

the range of the function is: all numbers greater than or equal to 2

(When solving the equation we will have value of f(x) equal or greater than 2)

A company spends 12% of its monthly budget on rent, which totals $2500. 3 points Write a proportion to calculate the company's total budget. Your answer​

Answers

Answer:

The solution is !.25x+450P=956X

Step-by-step explanation:

The sum of the first two and the greatest of 4 consecutive odd integers is 29. What are the integers?

Answers

Answer:

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

Step-by-step explanation:

Let the four consecutive odd integers be [tex]x,x+2,x+4,x+6[/tex]

The sum of the first two and the greatest of 4 consecutive odd integers is 29.

[tex]x+x+2+x+6=29\\3x+8=29\\3x=29-8\\3x=21\\x=7[/tex]

Therefore,

[tex]x=7\\x+2=7+2=9\\x+4=7+4=11\\x+6=7+6=13[/tex]

The four consecutive odd numbers are [tex]7,9,11,13[/tex]

A copy machine can print 480 copies every 4 minutes.

Answers

And what’s the question?????

Answer:

Every 10 minutes, it would print 1,200 copies.

Brainliiest please

Simplify 1/2+2/3-1/4

Answers

Answer:

11/12

Step-by-step explanation:

What is the slope of y = -1/3x + 2? *

Answers

Answer:

-1/3

Step-by-step explanation:

The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.

Hope this helps! :)

Question 1 (1 point)
Find the area of the circle.

A) 37.82
B) 43.86
C) 17.72
D) 28.26

Answers

Answer:

ok

Step-by-step explanation:

Which number should each side of the equation 4/5x=8 be multiplied by to produce the equivalent equation of x=10?

A) -4/5
B) 1/5
C) 5/4
D) 5

Answers

Answer:

D

Step-by-step explanation:

(4/5)x*5=8*5

4x=40

4x/4=40/4

x=10

Translate the sentence into an inequality.

Thirty-seven is less than the difference of seven and ten times a number.

Please help, I need this right now!

Answers

Answer:

Let x be the number,

7-10x>37

The required inequality is 10x - 7 > 37

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Thirty-seven is less than the difference of seven and ten times a number.

Let x be the number, we get,

10x - 7 > 37

Hence, The required inequality is 10x - 7 > 37

For more references on inequality, click;

https://brainly.com/question/28823603

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a girl that is 4 feet tall standing 2 feet from a mirror sees the reflection of a flag pole that is 12 feet from the mirror how tall is the pole

Answers

Answer:

the pole is 24 feet tall

Step-by-step explanation:

the mirror make every thing half its size

what is the answer it weird and hard

Answers

Answer:

x=12

Step-by-step explanation:

7.5/5=1.5

1.5x8=12

Assume y≠60 which expression is equivalent to (7sqrtx2)/(5sqrty3)

Answers

Answer:

The equivalent will be:

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]

Therefore, option 'a' is true.

Step-by-step explanation:

Given the expression

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]

Let us solve the expression step by step to get the equivalent

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}[/tex]

as

[tex]\sqrt[7]{x^2}=\left(x^2\right)^{\frac{1}{7}}[/tex]      ∵ [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=x^{2\cdot \frac{1}{7}}[/tex]

[tex]=x^{\frac{2}{7}}[/tex]

also

[tex]\sqrt[5]{y^3}=\left(y^3\right)^{\frac{1}{5}}[/tex]         ∵  [tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a}=a^{\frac{1}{n}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule:\:}\left(a^b\right)^c=a^{bc},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]

[tex]=y^{3\cdot \frac{1}{5}}[/tex]

[tex]=y^{\frac{3}{5}}[/tex]

so the expression becomes

[tex]\frac{x^{\frac{2}{7}}}{y^{\frac{3}{5}}}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]            ∵ [tex]\:\frac{1}{y^{\frac{3}{5}}}=y^{-\frac{3}{5}}[/tex]

Thus, the equivalent will be:

[tex]\frac{\sqrt[7]{x^2}}{\sqrt[5]{y^3}}=\left(\:x^{\frac{2}{7}}\right)\left(y^{-\frac{3}{5}}\right)[/tex]

Therefore, option 'a' is true.

( 30 points ) last one lol pleasee ?

Answers

Answer:

H

Step-by-step explanation:

Answer:

The answer is G because:

the y-intercept is -3 because that's what y is when x is 0

the slope is 2 because the y-values are going up by 6 every time and the x values are going up by 3. slope is rise/run (rise is y because it's axis is vertical and the run is x because it's axis is horizontal) so the slope is 6/3 or simplified to 2.

to write the equation you plug in the values above into the slope intercept form which is:

y = mx + b

where m is the slope and b is the y-intercept

so the answer is y= 2x -3 or G

Step-by-step explanation:

consider the two similar figure below. Which sequence of transformations will carry quadrilateral ABCD onto quadrilateral EFGH

Answers

Answer:

The first answer

Step-by-step explanation:

When you dilate something by a fraction the quadrilateral is going to get smaller. So, we can eliminate 2 and 4. Next I took point A and dilated it by 1/2 and then applied the translation to it. Once I figured out where each one landed, the first one was correct because it was on point E of EFGH and the other translation was not.

BRAINILIEST

Clara ran 10 miles, which was twice as far as Nina ran. How far did Nina run?

Answers

10/2 = 5
Nana ran 5 miles

Find the value of X please help

Answers

5x+ 7x+ 9+ 27= 180
12x+ 36= 180
12x= 144
x= 12


3x+2y=12
x+y=8
in y=mx+b

Answers

Answer:

Step-by-step explanation:

3x + 2y = 12

      2y = -3x + 12

        y = [tex]\frac{-3}{2}x + \frac{12}{2}[/tex]

        y = [tex]\frac{-3}{2}x + 4[/tex]

2) x + y = 8

          y = -x + 8

is this proportional?
I

If it is-
Explain why, give an ordered pair that would represent the unit rate, and what it means

If it is not-
Tell me why :(

If you decide to help, Thank you you will get , 20 points for helping :D if u do not know what the answer is please dont waste my time by commenting unnecessary things :) i really have to study for a test thats tommrow and i have to finish this first!

Answers

Answer:

yes it is because they all = to 3 when I divide them so they are proportinal

Step-by-step explanation:

Anything is appreciated I will give you Brinley

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Please help me find the x and y value of these

Answers

Answer:

27 and 28

Step-by-step explanation:

One exterior angle for a regular hexagon is

Answers

Answer:

72 degrees

Step-by-step explanation:

Calculate the number of sides in the regular polygon. We do this by dividing 360° by the size of one exterior angle, which is 72°

The answer is 72°!!
Happy Holidays

Need help asap thanks

Answers

Answer:

1. SAS 2. SSS 3. ASA 4. AAS

Step-by-step explanation:

1. They provide you with an equal side, an equal angle, and one shared side which is equal.

2. They provide you with an equal side, another equal side, and one shared side that is equal.

3. They provide you with an equal angle, an equal side, and another equal angle.

4. They provide you with an equal angle, another equal angle, and one shared side that is equal.

for a circle with the given circumference, c, fund the diameter of the circle. Round to the nearest whole number
C=44 in ​

Answers

Answer:14

Step-by-step explanation:

44/3.14(pie)=14.01

what does 1/4(8x+16)=4x equal?

Answers

Answer:

x = 2

Step-by-step explanation:

Hope this helps, have a good day

Carl for the tankers truck before to the use of fuel in South to deliver a shipment bananas to Alaska the truck come to 0.8 liters of fuel for each kilometer driven remaining in the truck tank in liters and distance driven in kilometers ​

Answers

Answer:

Answer:

radio waves, microwaves, infrared, visible light, ultraviolet light, X-rays, gamma rays

Explanation:

Electromagnetic waves are oscillations of electric and magnetic fields in a direction perpendicular to the direction of motion of the wave (transverse waves). They are classified into 7 different types, according to their frequencies.

From lowest to highest frequency, we have:

Radio waves

Microwaves

Infrared

Visible light

Ultraviolet

X-rays

Gamma rays

Step-by-step explanation:

i hope this is right :)

Answer:

ummm this doesnt make sense mabey 25

Step-by-step explanation:

WHAT in the valuE of 3n=1 when n=4?

Answers

Answer: 4

Step-by-step explanation:

Hey there! [tex]\bold{3n=1; n =4}}[/tex][tex]\bold{If\ n=4\ then\ substitute\ where\ the\ n\ is\ at\ in\ your\ equation!}[/tex][tex]\bold{3(4)=1}}\\ \bold{3(4)=12}\\\bold{12\neq 1}}\\\\\\\boxed{\boxed{\bold{Answer: 12\neq 1}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day![tex]\frak{LoveYourselfFirst:)}[/tex]

PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :) ​

Answers

the answer is 3
-
-
-
-
-
-
:)

6. Triangle CDE with vertices C(-2,-2), D(1,-4), and E(-3,-4):
a) dilation with scale factor of 4 centered (-1.-3)
b) reflection in the line y = -x

Answers

The coordinates of C'D'E' after dilation with the scale factor are; C'(3, 1), D'(-9, -7), E'(7, -7)

How to work with transformation of objects?

We are given the vertices of Triangle CDE as;

C(-2,-2), D(1,-4), and E(-3,-4).

Now when we dilate an object by a scale factor of 4, it means we multiply each coordinate by 4 if it is about the origin.

However, we are told that it is centered about the point (-1.-3).

Thus;

Point C is 1 unit vertically above point (-1.-3) and as such C' will be (1 * 4) = 4 units above the center point.

Point C is 1 unit horizontally to the right of point (-1.-3) and as such C' will be (1 * 4) = 4 units to the right of the center point. Thus, C' is (3, 1)

Point D is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the left of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (-9, -7)

Point E is 1 unit vertically below point (-1.-3) and as such D' will be (1 * 4) = 4 units below the center point.

Point D is 2 unit horizontally to the right of point (-1.-3) and as such D' will be (2 * 4) = 8 units to the right of the center point. Thus, C' is (7, -7)

B) Reflection in the line y = -x gives;

C'(2, -2), D(-1, 4), and E(3, 4)

Read more about Objects Transformation at; https://brainly.com/question/3457976

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