1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nostrana [21]
3 years ago
5

A realtor would like to create a 95% confidence interval for the average price of a house in Franklin County, Ohio. To accomplis

h this, she collected a random sample of 529 houses and calculated a sample mean price of $320,128. She knows that the population standard deviation for house prices in Franklin County is $50,324. What is her 95% confidence interval?
Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=320128 represent the sample mean

\mu population mean (variable of interest)

\sigma=50324 represent the population standard deviation

n=529 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

320128-1.96\frac{50324}{\sqrt{529}}=315839.52    

320128+1.96\frac{50324}{\sqrt{529}}=324416.48    

So on this case the 95% confidence interval would be given by (315839.52;324416.48)    

You might be interested in
What is the factorization of 216x12 – 64?
GalinKa [24]

9514 1404 393

Answer:

  (c)  (6x^4 – 4)(36x^8 + 24x^4 + 16)

Step-by-step explanation:

The correct factoring can be found by looking at the first exponent in the second set of parentheses.

The factorization of ...

  (a^3 -b^3)

is ...

  (a -b)(a^2 +ab +b^2)

__

Here, you have a=6x^4 and b=4, so the first term in the second parentheses is ...

  a^2 = (6x^4)^2 = 6^2·x^(4·2) = 36x^8 . . . . matches the 3rd choice

4 0
3 years ago
only 2/3 of the school districts kindergarten teachers are women. if 59 are men, how many kindergarten teachers in all are emplo
Oxana [17]

Answer:

177

Step-by-step explanation:

2/3 are women.

that means the remainder, 1/3, are men.

59 = 1/3 of all kindergarten teachers (3/3 = 1 representing the "whole").

so,

59×3 = 177

is the number of all kindergarten teachers employed by the school district.

4 0
2 years ago
hey, do any of you guys know how to plot functions on a graph. You know like f(X) and g(X)? I find it really hard and also do yo
Tpy6a [65]
It helps if you have an example, like f(x) = 2x+3
What you typically do, is:

- draw xy axis, label them (ie., 1,2,3,4 along both axes)
- calculate the f(x) values for several x (e.g., -2, 0, 1, 3, doesn't matter).
- plot the calculated values as points. The calculated f(x) is your y value.
- sketch a smooth line through the points. It helps if you know in advance if the line is going to be straight or curved. 
- The more points you calculate, the more accurate your graph will be
3 0
3 years ago
Please help me with this question thanks. PLEASE I REALLY NEED HELP ON THIS PROBLEM
arlik [135]

Step One

Find the area of the base

A = s * s

s = 755.5 feet

Area = 755.5^2

Area = 570780.25 square feet.


Step two

Multiply the volume by 3

V = 1/3 B * h

3*V = B * h

V = 85600000

85600000 * 3 = B * h

256800000 = B * h


Step Three

Divide by B

B = 570780.25


256800000 = 570780.25 * h

256800000 / 570780.25 = h

449.91 feet = h

3 0
2 years ago
Solve for y -2(x + 3 y) =18
LUCKY_DIMON [66]

Answer:

y= -3y - 1/3x

Step-by-step explanation:

-2(x + 3y) = 18 Distribute the -2 to the x + 3y

-2x - 6y = 18

+2x          +2x    Add the 2x to both sides

-6y = 18 + 2x   Divide both sides by -6

y= -3y - 1/3x

3 0
3 years ago
Other questions:
  • How do you find the valume in a triangle prism
    7·1 answer
  • Tickets at a movie theater are $13.75 per adult and $8.85 per child. Miss Lynn bought 4 adult tickets and 3 child tickets how mu
    8·1 answer
  • I need help with math! Show work please! I guess it's easy
    13·1 answer
  • What is the greatest possible whole-number value of the congruent side lengths?
    5·1 answer
  • What is the equation of a line that passes through the point (6,-8) and is perpendicular to the line whose equation is Y=2/3 x+3
    8·1 answer
  • Square root of 300x to the fourth power
    13·1 answer
  • Study tips for junior year please? or just any tips for junior year
    15·1 answer
  • Willie spent half of his weekly allowance buying pizza to earn more money his parents let him clean the windows in the house for
    7·1 answer
  • You buy 4 breakfast sandwiches at $2.59 each, 4
    14·1 answer
  • Please solve for x please
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!