Can anyone invite me into admitme plzzzzzzz! :)

You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample

Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma=160)$

And the distribution for $\bar X$ is:

$\bar X \sim N(\mu, \frac{160}{\sqrt{n}})$

We know that the margin of error for a confidence interval is given by:

$Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The next step would be find the value of $\z_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$

Using the normal standard table, excel or a calculator we see that:

$z_{\alpha/2}=\pm 1.96$

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}$

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{1.96(160)}{78.4})^2 =16$

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

$n=(\frac{z_{\alpha/2} \sigma}{Me})^2$

And now we can replace the new value of Me and see what we got, like this:

$n=(\frac{1.96*160}{60})^2 =27.32$

And if we round up the answer we see that the value of n to ensure the margin of error required $Me=\pm 60$ $ is n=28.

5 0

2 years ago

1) How many seconds are in three days?

Natasha_Volkova [10]

Answer:

259200 seconds

The conversion factor from days to seconds is 86400, which means that 1 day is equal to 86400 seconds:

1 d = 86400 s

To convert 3 days into seconds we have to multiply 3 by the conversion factor in order to get the time amount from days to seconds. We can also form a simple proportion to calculate the result:

1 d → 86400 s

3 d → T(s)

Solve the above proportion to obtain the time T in seconds:

T(s) = 3 d × 86400 s

T(s) = 259200 s

The final result is:

3 d → 259200 s

We conclude that 3 days is equivalent to 259200 seconds:

3 days = 259200 seconds

Hope this helps :)

7 0

2 years ago

Read 2 more answers

What is the area of rectangle PQRS with vertices at P(0, 2), Q(0, 10), R(4, 10), and S(4, 2)?

Cerrena [4.2K]

Answer:

D..... 40

Step-by-step explanation:

8 0

2 years ago

To be clear i don't want the flat out answer i want help on how to solve it .

liberstina [14]

The answer to the problem is as follows:

So each thing separate by a positive, negative, multiplication or division sign. so here it would be 8h is one term and 15t is the second term so there are two.

I hope my answer has come to your help. God bless and have a nice day ahead!

4 0

3 years ago

What is equilivent to 5xa

Gelneren [198K]

Answer: 5 * x * a

Step-by-step explanation:

It’s algebra

7 0

3 years ago