How do you find the perimeter of a triangle using one side length and two angles of 60 degrees

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

VMariaS [17]

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)

8 0

3 years ago

Based on the information below, choose the correct answer.

Arte-miy333 [17]

The dollar amount of each monthly payment is interest
7,865.87÷120=65.55

The percent of the total payments is total interest
(7,865.87÷27,865.87)×100=28.2%

5 0

3 years ago

you and four of your nine classmates received an A on your math test, what is the simplest fraction of students that scored an A

svetlana [45]

4/9 or four/ninths. it cant simplify.

7 0

3 years ago

Read 2 more answers

Which inequality has a dashed boundary line when graphed ?

nadezda [96]

Answer:

Third inequality has dashed boundary.

Step-by-step explanation:

An equality has dashed boundary on graphing when it strictly less than or strictly greater than Symbolically ( < or > sign in the inequality)

boundary line is is solid line when the inequality is with symbol of equality also ( < = or > = )

Here we can see that all the inequalities except third one has symbol less than or equal to or greater than or equal to . And third inequality is with

symbol > (greater than ) that mean strictly less than ,therefore on graphing

third inequality gives dashed line boundary.

7 0

3 years ago

What is the value of x to the nearest tenth

aniked [119]

Answer:

def calculator no dout about it

Step-by-step explanation:

3 0

3 years ago