An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $24.6, and the standard deviation is known to be $7.9. How large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.56? Round your answer up to the next integer.

Answers

Answer 1

Answer:

327

Step-by-step explanation:

Calculation for How large of a sample would be required in order to estimate the mean per capita income

First step is to find z 80% confidence level

At 80% confidence level the z will be:

α/2 = 1 - 80% = 1 - 0.80 = 0.20

α/2= 0.20 / 2 = 0.01

Zα/2= Z0.01= 1.28 from z table

Now let calculate the Sample size using this formula

Sample size = n= [( Zα/2* σ ) / E]^2

Let plug in the formula

n = (1.28*7.9/0.56)^2

n= 326.06

n=327 (Approximately)

Therefore How large of a sample would be required in order to estimate the mean per capita income will be 327


Related Questions

Simplify the following expression. (19x + 4y) + (49x + 32y)

Answers

Answer: 68x + 36y

Step-by-step explanation:

Combine Like Terms:

= 19x + 4y + 49x + 32y

= (19x + 49x) + (4y + 32y)

= 68x + 36y

Hope this helped you!

Answer:

68x + 36y

Step-by-step explanation:

You can compeletely get rid of the parenthesis because it is addition through and thorough.

You have 19x + 4y + 49x + 32y

You can combine like terms to get

19x +49x which is 68x

and

4y + 32y which is 36y

You now have 68 + 36y which cannot be simplified anymore because the variables are different.

Hope this helps!

In △ACD, if AC≅AD, m∠A = 3x − 4, m∠C = 5x + 1, and m∠D = 7x − 27, find x and the measure of each angle.

Answers

Answer:

x = 14

m∠A = 38°

m∠C = 71°

m∠D = 71°

Step-by-step explanation:

By the property of a triangle,

"Sum of interior angles of a triangle is 180°"

m∠A + m∠C + m∠D = 180°

By substituting the values of the angles given in the question,

(3x - 4)° + (5x + 1)° + (7x - 27)° = 180°

(3x + 5x + 7x) + (-4 + 1 - 27) = 180

15x - 30 = 180

15x = 210

x = 14

Therefore, m∠A = 3x - 4

                           = 3(14) - 4

                           = 38°

m∠C = 5x + 1

        = 5(14) + 1

        = 71°

m∠D = 7x - 27

         = 7(14) - 27

         = 98 - 27

         = 71°

Please help

Match the picture to the reason that would prove the triangles congruent.

Options:
NONE
ASA
SSS
SAS
AAS
HL

Answers

Answer:

Option (6). HL

Step-by-step explanation:

Given:

From the right triangles ΔBAC and ΔBDC,

AC ≅ CD

∠A = ∠D = 90°

To Prove:

ΔBAC ≅ ΔBDC

            Statements                       Reasons

1). AC ≅ DC                        1). Given

2). BC ≅ BC                       2). Reflexive property

3). ΔABC ≅ ΔBDC            3). By HL property of congruence of right triangles

Therefore, Option (6) HL will be the correct option.                              

express 1 as a percent

Answers

Answer:1 the answer would be 1%

Step-by-step explanation:

Answer:

1%

Step-by-step explanation:

divide 1 by 100 then get the answer

Find the slope and y-intercept of the graph. y=5x-3

Answers

Answer:

Step-by-step explanation:

y=mx+b

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

so for y=5x-3 your slope would be 5 and your y-intercept would be -3

The equation y = 5x - 3 represents a line with a slope of 5 and a y-intercept of -3.

How to Find the Slope and the Y-intercept of a Graph?

The equation of a graph can be expressed as y = mx + b, which is in the slope-intercept form. This means that:

m is the slope

b is the y-intercept of the graph.

The line described by the equation y = 5x - 3 has a slope of 5, meaning that as x increases by 1, y increases by 5. The y-intercept, represented by the constant term -3, indicates that the line intersects the y-axis at the point (0, -3).

Learn more about slope and y-intercept on:

https://brainly.com/question/10700419

#SPJ6

What is the equation of a line that passes through (0, 7) and has a slope of -2?

Answers

Answer:

y = -2x + 7

Step-by-step explanation:

We are given the slope so find the y-intercept using slope-intercept form [ y = mx + b ]

y = -2x + b

7 = -2(0) + b

7 = 0 + b

7 = b

Put everything we know/solved for into the original formula.

y = -2x + 7

Best of Luck!

Kevin bought twelve 8-ounce bottles of water. How many milliliters of water did Kevin buy? (Note: 1 ounce ≈ 30 ml) Thank you for any help I may get! <3

Answers

Given:

Kevin bought twelve 8-ounce bottles of water.

1 ounce ≈ 30 ml

To find:

The quantity of water in milliliters

Solution:

We have,

1 ounce ≈ 30 ml

8 ounce ≈ 8×30 ml

8 ounce ≈ 240 ml

It means, one 8 ounce bottle can hold about 240 milliliters of water.

Total number of bottles = 12

So, the quantity of water Kevin buy in milliliters is

[tex]12\times 240=2880[/tex]

Therefore, Kevin buys 2880 milliliters of water in twelve 8-ounce bottles.

HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?

Answers

About 12,000 I’m not sure but I searched it up and it says that

which number is bigger 1.59 or 1.955

Answers

Answer:

1.955 is bigger

Step-by-step explanation:

1.955>1.59

Answer:

1.955

Step-by-step explanation:

This is because the number after the decimal in 1.955 is 9, which is bigger than the 5 shown in 1.59

e-intercept form.
2. (2, 4); slope
1
2
write the linear equation in slope-intercept form

Answers

to work this out you need to solve for your y-intercept. by using what you have.

once you do so you get the answer y=1/2x+3

A partial proof was constructed given that MNOP is a parallelogram.

Which statement should fill in the blank in the last line of the proof?

A. angle M is supplementary to angle O.


B. angle N is supplementary to angle P.


C. angle M is congruent to angle P


D. angle N is congruent to angle P.

Answers

Answer:

B

Step-by-step explanation:

B. angle N is supplementary to angle P

Answer:

B

Step-by-step explanation:

What number would go in the blank? 4 x 6 = 6 x ___
6

4

10

Answers

( 4 )is this 1st grade or something?

Answer:

4

Step-by-step explanation:

4 x 6 = 6 x 4

Gavin read 6 books in 3 months. If he reads at a constant rate, how many books did he read each month? Give your answer as a whole number or a FRACTION in simplest form.

Answers

Answer:

2 books in one month

Step-by-step explanation:

Answer:

2 books per month .

Step-by-step explanation :

6 divided by 3 = 2

So 1 book per month = 2 , 2 books per month = 4 , 3 per month = 6 ( counting by 2 )

Hope that helped :)


A bag of apples costs a dollars.

A bag of oranges costs 2 dollars more.

If Dorie bought 5 bags of apples and 5 bags of oranges, how much did Dorie pay in terms of a?

Mark all choices that are true.

A 5 (2a + 2)
B 10a + 10
c 10a + 2
D 5 (a + a + 2)
E 5a + 2a

Answers

Answer:The answer is A,B, and D

Step-by-step explanation:I just know lol

can y’all help please :)

Answers

number three ? I’m not sure

write and equation of the line that passes through the point (4, -2) and has a slope of -1/2.

Answers

Answer:

y

=

1

3

(

x

+

3

)

Step-by-step explanation:

The point-slope form of a linear equation is:  

(

y

y

1

)

=

m

(

x

x

1

)

Where  

(

x

1

,

y

1

)

is a point on the line and  

m

is the slope.

Substituting the values from the point in the problem and the slope provided in the problem gives:

Answer:

y=-1/2x

Step-by-step explanation:

y-y1=m(x-x1)

y-(-2)=-1/2(x-4)

y+2=-1/2x+4/2

y+2=-1/2x+2

y=-1/2x+2-2

y=-1/2x

The ___ is the set of outputs for a function.

Answers

Answer:

Range

The set of output values is called the range of the function.

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Answers

Answer:

1. –X + Y = -22X – Y = 6

2. X + Y = 5-2X + Y = -4

Step-by-step explanation:

Find the distance of each pair of points. Round your answer to the nearest tenth, if necessary

Answers

Answer:

6.4

Step-by-step explanation:

Help please, question attached

Answers

Answer:

C. x = 8

Step-by-step explanation:

We know that x · x · x is equal to 512. We know it cannot be negative because then the 512 would be negative. -2 x -2 x -2 is -8. -2 x -2 is 4. We know it cannot be B x = -6 or D. x = -8.

Let's multiply 6 x 6 x 6.

                           36 x 6 = 216.

Let's multiply 8 x 8 x 8.

                          64 x 8 = 512

                               

The answer would be C. x = 8.

I hope that this helps! :)

Answer:

8

Step-by-step explanation:

x³ = 512

x³ = 8³

Cube root on both sides,

x = 8

HELP PLEASE!! I NEED TO GET THIS TURNED IN

Answers

Answer:

the 10.5

Step-by-step explanation:

it is lower than the other cost if it is multiplied by three and bigger amount than the other if multiplied by three

What are the last 3 digits of 5 to the power of 2020?

Answers

Answer:625

Step-by-step explanation:

pula pays 419.92 for 2.4 pounds of walnuts .What is the price per pounof waluts ?

Answers

174.97$ is the answer.
How I did it:
419.92 / 2.4 = 174.966 which rounds to 174.97$

A recipe used 1/2 cup of sour cream for every 1/4 teaspoon of salt. What is the unit rate of teaspoons of salt per cup of sour cream?​

Answers

Answer:

1/2 teaspoons of salt per cup of sour cream

Step-by-step explanation:

multiply 1/2 and 1/4 by 2 to get 1 and 1/2. Since the question is teaspoons of salt per cup of sour cream, flip the numbers to get 1/2 teaspoons of salt per 1 cup of sour cream.

Which of the following does not show the Commutative Property of Addition or Multiplication?

a. xy – 9 = xy
b. x + y = y + x
c. yx = xy
d. 3 + y = y + 3​

Answers

Answer:

XY - 9 = XY

Step-by-step explanation:

You need to be careful when you are driving so 3+y is not the answer because 3 means dead in the language of god and y means yo so Its not the answer. Hope it helps

Select the correct answer. What can we determine about the SmartPhone Inc. stock when we see its returns (dashed line) compared with the NASDAQ Composite Index of growth companies (solid line). A. The SmartPhone Inc. stock performed better than the NASDAQ Composite during 2015. B. The SmartPhone Inc. stock performed worse than the NASDAQ Composite in 2015 and 2016. C. In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. D. The SmartPhone Inc. stock price steadily decreased between 2015 and 2017. E. The SmartPhone Inc. stock performed better than the NASDAQ Composite Index between 2015 and 2017.

Answers

Answer:

C

Step-by-step explanation:

Plato(:

What we determine about the SmartPhone Inc. stock when we see its returns compared with the NASDAQ Composite Index of growth companies is In 2018, the SmartPhone Inc. stock started to perform better than the NASDAQ Composite Index. This is further explained below.

What is stock?

Generally, stock is simply defined as the money raised by a firm via the issuing and subscribing of shares.

In conclusion, When compared to the NASDAQ Composite Index of growing firms, the SmartPhone Inc. stock is In 2018, SmartPhone Inc. shares began to outperform the NASDAQ Composite Index.

Read more about Stock

https://brainly.com/question/27385142

#SPJ2

There are three positive consecutive integers where the first number times the second number is 7 more than the third number. Find the sum of all 3 integers.

Answers

Given that,

The three numbers are consecutive

The three numbers are

x

x + 1

x + 2

Also,

x × (x + 1) = (x + 2) + 7

x² + x = x + 9

x² + x - x = 9

x² = 9

x = √9

x = 3

The three numbers

x = 3

x + 1 = 4

x + 2 = 5

The sum of the three numbers

3 + 4 + 5 = 12

NO JOKING AROUND OR I WILL REPORT WHO EVER DOES

A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
–90
–78
–66
–12

Answers

Answer:

Its 66 i just did a 50 question quiz and got it right

Step-by-step explanation:

Replacing one regular light bulb with a
compact fluorescent bulb will save 151.56
pounds of carbon dioxide per year. If you
replace 25 regular light bulbs, then how
many pounds of carbon dioxide will you save
per year?

Answers

Answer:

3789 pounds of carbon dioxide

multiply 151.56 by 25

Answer:

3789

Step-by-step explanation:

edge 2020

Which expression is equivalent to 8a + 20?
4(2a + 20)
4(2a + 5)
4(4a + 16)
4(4a + 5)

Answers

Answer:

4(2a+5)

Step-by-step explanation:

4 times 2a= 8a

4 times 5= 20

Other Questions
How many times does 2/3 go into 7 1/3 Should a Female with the same Qualifications as a Man, if selected for an Executive Position formerly held by a man, be paid the same salary as her counterpart prior to her? (12.93.1)6.22+[tex]4^{3}[/tex] ofbeA librarian has 43 books to distribute to a group ofchildren. If he gives each child 2 books, he will have7 books left over. How many children are in thegroup?A) 15B) 1825D) 29 Identify the leader of Italy, which joined forces with Hitler. PLZZZZZZZZZZZZZZZZZZZZ HELP THIS DUE TODAY PLZZZZZ THIS IS MY ONLY TIME TO PASS S.SUsing the documents from the culture section, what are two inferences that you can make about what the culture was like in the Middle Colonies society? Pls help I really need this BRAINLIEST When using design templates, these elements will be determined for you.bulletsbackgroundcolor schemecontenttitlefont Evaluate the following expression. 1 + tan^2(pi/6)A. 2B. 4C. 11/3An explanation of the answer will be awarded extra points 1. LAW OF SUPERPOSITION: When observing rock layers, the oldest rocks/fossils can be found at the ______________, while the youngest can be found at the _______________.a. middle, bottomb. left, rightc. bottom, topd. top, bottom2. Two rock layers contain fossils of similar organisms. What is likely true of these rock layers?a. They were from different environments.b. They had advantageous traits.c. They had analogous structures.d. They were from the same time period. ps this is science One English writer who was a strong supporter of womens rights wasa.Mary Wollstonecraft.c.Jean-Jacques Rousseau.b.Denis Diderot.d.Franois-Marie Arouet. Where in the real-world is the Pascal Triangle used? Provide an example. 30 Points Easy!!!! The zoom feature on a camera lens allows you to dilate what appears on the display. When you (1 pcchange from 100% to 300%, the new image on your screen in an enlargement of the originalimage with a scale factor of 3. If the new image is 24 millimeters wide, what was the width ofthe original image?8 millimeters16 millimeters36 millimeters63 millimeters The Electoral College Select the correct answer. Which information goes first in an article? OA The lead paragraph OB. The explanation C. The additional information D. The quotes I will mark branliest please 1.Classify each triangle with the given side lengths as Acute, Obtuse, or Right9, 12, 15AcuteObtuseRight2. Classify each triangle with the given side lengths as Acute, Obtuse, or Right5, 10, 9AcuteObtuseRight3.Classify each triangle with the given side lengths as Acute, Obtuse, or Right6, 7, 11AcuteRightObtuse Who got the Nobel Prize in literature in 1993? What nationality was this person fill in the blank the Hercules motor company makes a varied number of cars each day at the factory use the terms mean,median,and mode to a awsner the following question. 1.the ____________ would give the company the average number of cars produced in a typical day 2.the ___________ would tell what a number of cars is produced more than the others. 3.the __________ would tell the company the middle number of produced cars from this set. The graph below shows the impact of placing a $2.00 limit on a gallon of gas She got soaked walking home in the rain yesterday because her umbrella was in her gym locker.Which part of this sentence is a clause?