What is the slope of the line?

Suppose a population contains 80,000 people. All else being equal, a study based on a population sample that includes which of t

Helga [31]

I'd say A. 8000, because you'd get the most answers and the biggest variety in answers for a more accurate sample.

6 0

3 years ago

Read 2 more answers

You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

Alla [95]

Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

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 % where by 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".

Solution to the problem

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

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: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

6 0

3 years ago

Find the distance from point A to the given line:<br> A(-1, 7), y=3x<br><br> How do I solve this?

kipiarov [429]

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

$d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}$

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

$d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}$

<h3>Answer: d = √10</h3>

3 0

3 years ago

What is 3/8 x 3/8 x 3/8 written as a power

julia-pushkina [17]

Answer:

3/8^3

Step-by-step explanation:

its like 1/2 x 1/2 x1/2 its 1/2^3

or 7x7x7x7x7=7^5 its the same concept....

7 0

1 year ago

(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY

shepuryov [24]

El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.

El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
<span>
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima. </span>

3 0

3 years ago

Read 2 more answers