Two chemical companies can supply a raw material. The concentration of a particular element in this material is important. The mean concentration for both suppliers is the same, but you suspect that the variability in concentration may differ for the two companies. The standard deviation of concentration in a random sample of n1 = 10 batches produced by company 1 is s1 = 4.7 grams per liter, and for company 2, a random sample of n2 = 16 batches yields s2 = 5.8 grams per liter. Is there sufficient evidence to conclude that the two population variances differ? Use α = 0.05.

Answers

Answer 1

Answer:

No,  there's no sufficient evidence to make a conclusion that the two population variances differ.

Explanation:

Given that:

For company 1

Sample size [tex]n_1[/tex] = 10

Standard deviation [tex]s_1[/tex] = 4.7

For company 2

Sample size [tex]n_2[/tex] = 16

Standard deviation [tex]s_2[/tex] = 5.8

The null hypothesis and the alternative hypothesis can be computed as:

[tex]\mathbf{H_o: \sigma^2_1 = \sigma^2_2}[/tex]

[tex]\mathbf{H_1: \sigma^2_1 \ne \sigma^2_2}[/tex]

Since the alternative hypothesis is ≠, it is then a two-tailed test

Using the F test formula to test for the equality of the variations, we have:

[tex]F = \dfrac{s_1^2}{s_2^2}[/tex]

[tex]F = \dfrac{4.7^2}{5.8^2}[/tex]

[tex]F = \dfrac{22.09}{33.64}[/tex]

F = 0.6567

Hence, the estimated F-value for comparing the standard deviation = 0.6567

The degree of freedom df = ([tex]n_1[/tex] - 1, [tex]n_2[/tex]  - 1)

df = ( 10- 1, 16 - 1)

df = (9, 15)

The level of significance ∝ = 0.05

The critical value for a two-tailed test when ∝ = 0.05 and df = (9, 15)

[tex]F_{\alpha/2,n_1 -1,n_2-2} = F_{0.05/2, 9,15}[/tex]

[tex]= F_{0.025, 9,15}[/tex]

by using the Excel function  = FINV (0.025,9,15)

= 3.123

Similarly;

[tex]F_{1-\alpha/2,n_1 -1,n_2-2} = F_{1-0.05/2, 9,15}[/tex]

[tex]= F_{0.975, 9,15}[/tex]

Using the Excel function = FINV(0.975,9,15)

= 0.265

Critical Region: To reject the null hypothesis if f ≥ 3.123 or If f ≤ 0.265.

But since The estimated value for F =  0.6567 which is greater than 0.265, we fail to reject the null hypothesis.

Thus, there's no sufficient evidence to make a conclusion that the two population variances differ.


Related Questions

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should you do to make sure your bread still turns out well?
PlEASE ITS TIMED HELP

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Answer:

the bread rising shows that it’s baking which is a chemical reaction

Explanation:

What is a closed water cycle?

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Answer:

The global hydrological cycle is powered by solar energy. It is a closed system, in continual circulation. This means that there is a definite amount of water in the system and that this amount does not change. 99 per cent of the water is stored within the cycle, leaving only 1 per cent in circulation.

Explanation:

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Answer:

I don't think so

Explanation:

The equation doesn't look balanced

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Explain specific heat in your OWN words. (2pts) Explain the equation. (1pt) Give an example of your understanding of the concept that we encounter on a daily basis. (3 pts.)

Answers

All the heat needed to raise the temp of something at a given degree.

Q=mc△T

Q= heat energy

m= mass

c= specific heat capacity

△T= change in temperature

All rocks began as what type of rock?
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igneous
metamorphic
sedimentary

Answers

Answer:

Igneous

Explanation:

what would she see if there had been salts dissolved in the colourless , clear liquid?

Answers

Answer:

physical change

Explanation:

it has to be 20 charchters long

The morning temperature in a city is 41°F. If a sunny, mild day is forecast, which temperature is most likely for 2:00 p.m.?

Answers

Answer:

huh

Explanation:

can anyone help me with my homework lol im really behind and need answers! i need help/answers with these subjects - math 2 - chemistry - spanish 2 - world history - complit 2 (english). It's fine if you can Answer only 1 subject!! i just need to catch up

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Answer:

where is the question please send question I will give don't worry

NO ONE ANSWERS MY QUESTIONS

answered
Continue off my answer
Choose one of the compounds from the table and explain how you know the numbers of atoms in your formula. Carbon Monoxide (co) is a mix of carbon and oxygen and when they mix they make carbon monoxide.

Answers

Answer:

where is the answer options because it sounds like I need some

Answer:

Sodium Hydride=NaH which has 1 sodium atom, and 1 hydrogen atom, i know this because  there are no added numbers meaning theres one of each element.

Explanation:

The number of protons in an atom is equal to its (2 points)
оа
atomic number
atomic mass
ос
atomic model
o d
atomic medium

Answers

equal to its atomic number

Answer:

The number of protons id equal to the atomic number on the periodic table.

Explanation:

does anyone know how to do this ??

Answers

Answer:

Look at your periodic table

Explanation:

It tells you everything like Potasium 1 and 1 ox and 1 hydrogen

What type of change is rotting of fruits?​

Answers

Answer:

Chemical

Explanation:

The rotting of fruit is a chemical reaction. This is because when fruit spoils, an enzymatic reaction occurs. Because an enzymatic reaction causes molecules to change when rotting, rotting is a chemical reaction.

well,It is a chemical change because once an apple rots, it cannot go back to its original form as a new, clean, and fresh apple. and that is a chemical change. making it be different on a chemical level.

Answer:

chemical change

Explanation:

the reason for a fruit to rot is the enzyme reactions in it we can take that as a solid reason and on the other hand if it is a physical change we can reverse the change that means we should be able to take a rotten fruit and make it to its original position so that we can have it. but we can never do that so we can prove that rotting of fruits is a chemical change.

hope this helps

lavoviser is commonly know as the( brainly dont eveer help)

Answers

Lavoisier is known as the “Father of Modern Chemistry” or the “Father of Chemistry”.

He is famous for isolating oxygen and establishing the law of conservation of mass.

Answer:Lavoisier is known as the “Father of Modern Chemistry” or the “Father of Chemistry”.

Explanation:

Determine the total volume of a balloon if it is inflated with 2.50g helium at 180C and 0.87atm.

Answers

Answer:

V = 267.2 L

Explanation:

Given data:

Volume of balloon = ?

Mass of helium = 2.50 g

Temperature of gas = 180°C

Pressure = 0.87 atm

Solution:

Number of moles of helium:

Number of moles = mass/molar mass

Number of moles = 2.50 g/ 4 g/mol

Number of moles = 0.625 g

Volume of helium:

PV = nRT

R = general gas constant = 0.0821 atm.L/mol.K

0.87 atm× V = 0.625 mol × 0.0821 atm.L/mol.K×453 K

V = 232.45 atm.L /0.87 atm

V = 267.2 L

Radar works by sending out electromagnetic energy at a particular wavelength and receiving a reflected signal from distant objects, similar to a sound echo. Many modern military aircraft have what is known as “stealth technology” that allows the aircraft to be invisible to enemy radar. What statement best explains how this is possible?

Answers

Answer:

This question is incomplete

Explanation:

This question is incomplete because of the absence of options. However, stealth technology works (in two major ways) by using coating materials other than the normal coating materials or by changing the shape of the aircraft.

Normally, the coating material of the aircraft are always produced in a way that they can be able to reflect antenna signals back to radar antenna. However, with stealth technology, other coating materials have been developed that absorbs the radar energy instead of reflecting it. Also, conventional aircrafts have a rounded shape which makes the body easily reflect some radar signals back to the radar antenna but stealth aircrafts have a flat surfaces and pointed edges instead; this enables the aircraft to reflect radar signals away from the radar antenna.

A container with an initial volume of 1.0L is occupied by a gas at a pressure of 150kPa at 25'C. By changing the volume, the pressure of the gas increases to 600kPa as the temperature is raised to 100'C. What is the new volume? Use Combined Gas Law

Answers

Answer:

Final Volume = 0.31L

Explanation:

Initial volume V1 = 1L

Initial pressure P1 = 150kPa

Initial temperature, T1 = 25'C + 273 = 298K

Final Pressure P2 = 600kPa

Final Temperature T2 = 100'C + 273 = 373K

Final Volume V2 = ?

The combined gas law is given as;

P1V1 / T1  = V2P2 / T2

150 * 1 / 298 = V2 * 600 / 373

V2 = 55950 / 178800 = 0.31L

Australia's winter solstice starts in June 21st. What season will begin in
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Answers

Answer:

summer will start in North America June 21st

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Answers

Answer: A

Explanation: A is the answer

Molecular mass of CH3 OH =​

Answers

Answer:

32g/mol

Explanation:

When dealing with a compound, the molar mass is the gram - formula mass or gram moleclular weight. This is determined by the addition of its component atomic masses.

For CH₃OH;

Atomic mass of C = 12g/mol , H  = 1g/mol, O  = 16g/mol

 So,

     Molecular mass  = 12 + 3(1)  + 16 + 1  = 32g/mol

What type of atom has 1 proton, 1 electron, and 1 neutron?

Answers

Answer:

Hydrogen atoms

2.
Which of the following is good evidence that an unknown sample is a pure
substance.
A
After leaving a liquid to settle, it separates.
B
After leaving a liquid to settle, it does not separate.
С
After evaporating a liquid, there is nothing left behind.
D
After evaporating a liquid, a white powder is left behind.
Accelerate Learning Inc. - All Rights Reserved

Answers

Answer:

С. After evaporating a liquid, there is nothing left behind

Explanation:

In chemistry, a pure substance is that substance that has a definite chemical composition. It cannot be separated using physical means as the chemical bonds that forms it have to be broken. Pure substances include elements and compounds.

According to this question, a good evidence that an unknown sample is a pure substance would be that: After evaporating a liquid, there is nothing left behind. This means that after using physical separation technique, THE PURE SUBSTANCE COULD NOT BE SEPARATED, hence, nothing is left behind.

Which process takes place in both plant and animal cells
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B.Cellular respiration
C.Formation of glucose

Answers

Answer:

cellular respiration

Answer:

the answer is A. cellular respiration

How is this person able to stay on the skateboard? explain

Answers

Gravity, friction, and balance keeps people able to not fall off a skateboard.

NEED HELP NOW



Which item does not contain a noble gas?


neon sign

mp3 player

flash camera

helium balloon

Answers

Answer:

may be mp3 player......

Answer:

mp3 player

Explanation:

Neon sign contains Neon

Flash camera contains Xenon

Helium balloon contains Helium

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Select one:
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False

Answers

Answer:

the answer is (a)true.

Answer (s) true.

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Write out in paragraph form your explanation to a first-grade student who is having trouble understanding the idea of freedom.
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Answers

Answer:

Freedom is when everyone tells you to wear your mask, but if you dont feel like it, you choose to not wear your mask. Even though you have the choice between getting the infection or not, you can still choose to get the virus.

Explanation:

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Answers

Answer:

yes it is

Explanation:

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Answers

Answer:

Why is it called Group 8? In the rest of the periodic table, the number of the group is the same as the number of outer shell electrons in the atoms of that group. This is not true for the noble gases. Helium only has 2 electrons in its outer shell, while the others all have 8.

every element has 8 electron in outer shell but not in helium because it has 2 electrons

When heat is lost, molecules

Answers

vibrate less and contract

evaluate these two sound waves and determine what property they have In common

Answers

Answer:

The same wavelength

Explanation:

The two sound waves shown in the diagram has the same wavelength as clearly shown.

Wavelength of a wave is the distance between a complete wave cycle. It is the difference between successive train of troughs and crests. In the figure shown the amplitude, vertical displacement of the wave differs. But the wavelength of the waves are the same.
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