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3 years ago

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample

Mathematics

1 answer:

klasskru [66]3 years ago

7 0

Answer:

For this case if we want to conclude that the sample does not come from a normally distributed population we need to satisfy the condition that the sample size would be large enough in order to use the central limit theoream and approximate the sample mean with the following distribution:

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

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

Step-by-step explanation:

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

For this case the condition required in order to consider a sample size large is that n>30, then the best solution would be:

n>= 30

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Write the given polynomial in standard form and write its degree .

olga nikolaevna [1]

Hybybybgggy*gygykkkkkkkkkkk

5 0

2 years ago

Read 2 more answers

What is the simplified form of 12x/900x²y4z6?

zalisa [80]

Answer:

$360xy^2|xz^3|$

Step-by-step explanation:

Given expression:

$12x \sqrt{900x^2y^4z^6}$

$\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:$

$\implies 12x \sqrt{900}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

Replace 900 with 30² :

$\implies 12x \sqrt{30^2}\sqrt{x^2}\sqrt{y^4}\sqrt{z^6}$

$\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:$

$\implies 12x \cdot 30|x|\sqrt{y^4}\sqrt{z^6}$

$\implies 360x|x|\sqrt{y^4}\sqrt{z^6}$

(We need to use the absolute value of √x² since the x term was originally to the power of 2, which means the value of x² is always positive since the exponent is even).

$\textsf{Apply exponent rule} \quad \sqrt{a^m}=a^{\frac{m}{2}}:$

$\implies 360x|x|\cdot y^{\frac{4}{2}}\cdot z^{\frac{6}{2}}$

Simplify:

$\implies 360xy^2|xz^3|$

(We need to use the absolute value of z³ since the z term was original to the power of 6, which means the value of z⁶ is always positive since the exponent is even).

7 0

1 year ago

Simplify. 6 to the power of 2+3 to the power of 2.<br><br><br> Thanks!

aleksandrvk [35]

Answer:

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

4 0

2 years ago

Leo has a lock box with a volume of 312 cubic inches. The box is 4 inches high and 13 inches long. What is the width of the box?

natima [27]

Answer:

6in

Step-by-step explanation:

Given data

Volume of the lockbox= 312 cubic inches

Height= 4in

Length= 13in

Width= ???

The expression for the volume of box is

V= L*W*H

substitute

312=13*W*4

312=52W

W= 312/52

W=6 in

Hence the width is 6in

6 0

3 years ago

A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has

enot [183]

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

$=\frac{8}{100}\times 10,000=800$

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 $=\frac{1}{100}\times 800=8$

Also, 1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 $=\frac{1}{100}\times 9200=92$

1. Has condition Does not have condition totals = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

$=\frac{\text{1 percent of 9200}}{9200}\\\\ \frac{\frac{1}{100}\times 9200}{9200}=\frac{92}{9200}\\\\ =0.01$

that is Probability equal to 0.01 or 1%.

7 0

3 years ago