The crisis began on 21 November 2013, when then-president Viktor Yanukovych suspended preparations for the implementation of an association agreement with the European Union. The decision sparked mass protests from proponents of the agreement.
In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metallization. The etch rate is an important characteristic of this process and known to follow a normal distribution. Two different etching solutions have been compared using two random samples of 10 wafers for each solution. Assume the variances are equal. The etch rates are as follows (in ml per minute):
Solution 1 Solution 2
9.8 10.4 10.2 10.0
9.4 10.3 10.6 10.2
9.3 10.0 10.7 10.7
9.6 10.3 10.4 10.4
10.2 10.1 10.5 10.3
(a) Calculate the sample mean for solution 1.
(b) Calculate the sample standard deviation for solution 1.
(c) Calculate the sample mean for solution 2.
(d) Calculate the sample standard deviation for solution 2.
(e) Test the hypothesis
H
0
:
m
1
=
m
2
versus
H
1
:
m
1
â
m
2
.
Calculate
t
0
.
(f) Calculate a 95% two-sided confidence interval on the difference in mean etch rate.
Answer:
[tex](a)[/tex] [tex]\bar x_1 = 9.94[/tex]
[tex](b)[/tex] [tex]x_2 = 10.4[/tex]
[tex](c)[/tex] [tex]\sigma_1 = 0.395[/tex]
[tex](d)[/tex] [tex]\sigma_2 = 0.231[/tex]
(e) There is sufficient evidence to reject the claim that the mean etch rate is the same for both solutions
[tex](f)[/tex] [tex]-0.75644 < \mu_1 - \mu_2 < -0.1556[/tex]
Explanation:
Given
Solutions 1 and 2
Solving (a): Mean of solution 1
For Solution 1, we have the following data:
[tex]9.8\ 10.4\ 9.4\ 10.3\ 9.3\ 10.0\ 9.6\ 10.3\ 10.2\ 10.1[/tex]
The sample mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n_1 = 10[/tex]
So, we have:
[tex]\bar x_1 = \frac{9.8+ 10.4+ 9.4+ 10.3+ 9.3+ 10.0+ 9.6+ 10.3+ 10.2+ 10.1}{10}[/tex]
[tex]\bar x_1 = \frac{99.4}{10}[/tex]
[tex]\bar x_1 = 9.94[/tex]
Solving (b): Mean of Solution 2
For Solution 1, we have the following data:
[tex]10.2\ 10.0\ 10.6\ 10.2\ 10.7\ 10.7\ 10.4\ 10.4\ 10.5\ 10.3[/tex]
The sample mean is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
Where
[tex]n_2 = 10[/tex]
So, we have:
[tex]x_2 = \frac{10.2+ 10.0+ 10.6+ 10.2+ 10.7+ 10.7+ 10.4+ 10.4+ 10.5+ 10.3}{10}[/tex]
[tex]x_2 = \frac{104}{10}[/tex]
[tex]x_2 = 10.4[/tex]
Solving (c): Sample Standard Deviation of solution 1
This is calculated as:
[tex]\sigma_1 = \sqrt{\frac{\sum (x-\bar x_1)^2}{n_1-1}}[/tex]
This gives:
[tex]\sigma_1 = \sqrt{\frac{(9.8 - 9.94)^2+ (10.4- 9.94)^2+ (9.4- 9.94)^2+................+ (10.2- 9.94)^2+ (10.1- 9.94)^2}{10 - 1}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{1.404}{9}}[/tex]
[tex]\sigma_1 = \sqrt{0.156}[/tex]
[tex]\sigma_1 = 0.39496835316[/tex]
[tex]\sigma_1 = 0.395[/tex] --- approximated
Solving (d): Sample Standard Deviation of solution 2
This is calculated as:
[tex]\sigma_2 = \sqrt{\frac{\sum (x-\bar x_2)^2}{n_2-1}}[/tex]
So, we have:
[tex]\sigma_2 = \sqrt{\frac{(10.2 - 10.4)^2+ (10.0 - 10.4)^2+ (10.6 - 10.4)^2+ (10.2 - 10.4)^2+.......................+ (10.3 - 10.4)^2}{10-1}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{0.48}{9}}[/tex]
[tex]\sigma_2 = \sqrt{0.05333333333}[/tex]
[tex]\sigma_2 = 0.23094010766[/tex]
[tex]\sigma_2 = 0.231[/tex]
Solving (e): Test the hypothesis
[tex]H_0: \bar x_1 = \bar x_2[/tex]
[tex]H_1: \bar x_1 \ne \bar x_2[/tex]
Start by calculating pooled standard deviation
[tex]s_p = \sqrt{\frac{(n_1 - 1)*\sigma_1^2 + (n_2 - 1)*\sigma_2^2}{n_1 + n_2 -2}[/tex]
[tex]s_p = \sqrt{\frac{(10 - 1)*0.395^2 + (10 - 1)*0.231^2}{10+ 10-2}[/tex]
[tex]s_p = \sqrt{\frac{1.884474}{18}[/tex]
[tex]s_p = \sqrt{0.104693}[/tex]
[tex]s_p = 0.324[/tex]
Calculate test statistic
[tex]t = \frac{\bar x_1 - \bar x_2}{s_p\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{9.94 - 10.4}{0.324 * \sqrt{\frac{1}{10} + \frac{1}{10}}}[/tex]
[tex]t = \frac{-0.46}{0.324 * \sqrt{0.2}}[/tex]
[tex]t = \frac{-0.46}{0.324 * 0.4472}[/tex]
[tex]t = \frac{-0.46}{0.1448928}[/tex]
[tex]t = -3.175[/tex]
Calculate the degree of freedom
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 10+10 - 2[/tex]
[tex]df = 18[/tex]
The p value is the in the column title of the student t distribution in row 18
[tex]p = 002621[/tex]
The p value is less than the significance level (0.05).
i.e.
[tex]p < 0.05[/tex]
So: Reject the null hypothesis
Solving (f): 95% two-sided confidence interval
[tex]c = 95\%[/tex]
Calculate the degree of freedom
[tex]df = n_1 + n_2 - 2[/tex]
[tex]df = 10+10 - 2[/tex]
[tex]df = 18[/tex]
Calculate [tex]\alpha[/tex]
[tex]\alpha = (1 - c)/2[/tex]
[tex]\alpha = (1 - 95\%)/2[/tex]
[tex]\alpha = (0.05)/2[/tex]
[tex]\alpha = 0.025[/tex]
Using student t distribution
[tex]t_{\alpha/2} = 2.101[/tex]
Calculate margin of error (E)
[tex]E = t_{\alpha/2} * s_p * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}[/tex]
[tex]E = 2.101 * 0.324 * \sqrt{\frac{1}{10} + \frac{1}{10}}[/tex]
[tex]E = 2.101 * 0.324 * \sqrt{0.2}[/tex]
[tex]E = 0.3044[/tex]
The boundaries of the confidence are:
[tex](\bar x_1 - \bar x_2) -E[/tex] [tex]= (9.94- 10.4) - 0.3044 = -0.7644[/tex]
[tex](\bar x_1 - \bar x_2) + E[/tex] [tex]= (9.94- 10.4) + 0.3044 = -0.1556[/tex]
The confidence interval is:
[tex]-0.75644 < \mu_1 - \mu_2 < -0.1556[/tex]
The hyperfocus on crime among athletes is limited to what two sports?
The correct answer to this open question is the following.
Unfortunately, you did attach further context or references.
However, we can comment on the following.
The hyperfocus on crime among athletes is limited to these two sports: football and basketball.
The reason why is that these two sports produce too many "stars" that have too much notoriety for their conduct and behaviors. Some of the athletes that participate in these professional sports got too much attention from the media and the public and are considered famous. This popularity often produces that they lost the ground and act in incongruent ways, many times making the worts decisions that impact their careers by the mistakes they make.
As the public figures they are, their behavior immediately makes the news, and their poor judgment often brings negative consequences to their careers.
Why might west African be the most populated
PLEASE HELP ME BEFORE WEDNESDAY!!
West Africa is home to 5 percent of the world's population. And that is because In the arable regions, where soils are fertile and the climate is favorable for crop cultivation, higher population densities are found.
How did people resist the Holocaust?
Answer:
by measuring it
Explanation:
........
Which factor contributed most to Japan's cultural development?
The large percentage of arable land is most helpflu to which industry in Cuba?
Your answer:
agriculture
manufacturing
tourism
Answer:
Manufacturing
Explanation:
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
The Old Egyptian Kingdom
Explanation:
The Old Kingdom built pyramids like the Great Pyramid at Giza, the Sphinx, and the Pyramid of Djoser. The Old Kingdom was also called the Age of the Pyramids. The 4th Dynasty of the Old Kingdom brought changes in the centralized government which later became necessary for building projects. It was during the 5th and 6th century gave rise to the great pyramids.
Discuss TWO ways in which some cultural views that exist may affect
a relationship negatively.
(2 x 2 =
Answer:
cultural view can affect a relationship both negative and positive ways
Explanation:
we should take care of our culture.We can predict the quality of the community by understanding the culture of the community.Relationships between various people from the same cultural and having. different racial norms complex enough for the problem arising
The pursuance of the belief that Man is higher then Women and that people must have his/her religion are example of cultural views that can affect a relationship negatively.
What is a cultural views?A cultural views refers to individual's opinions and beliefs on social, religious and traditional aspects of society.
The cultural view that influence the racial differences can also deteriorate the relationship between diverse races.
However, the way through which cultural views may affect relationship negatively includes the pursuance of:
the belief that Man is higher then Womenthat people must have his/her religion.In conclusion, all these notions are what can may affect a relationship negatively.
Read more about Cultural views
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Which of the following describes how many of the colonies responded after the Boston massacre
Answer:
if these are the answer Boston townspeople attacked and killed five British soldiers.
British soldiers attacked and killed five Boston townspeople.
British soldiers attacked Boston townspeople, who shot five soldiers dead.
Boston townspeople attacked British soldiers, who shot five colonists dead.
Explanation:
then the fourth on
A researcher performs an experiment to test the hypothesis that the hormone oxytocin plays an important role in falling in love. In this experiment the researcher measures the oxytocin levels of men and women, and then introduces them to complete strangers. An hour later she asks the subjects of the experiment whether or not they would like to go out on a date with the person to whom they were introduced an hour previously. She finds that the people with the high oxytocin levels were more likely to want to go out on that date than people with low oxytocin levels.
A. Men and Women
B. Whether or not people would like to go out on a date
C. None for this experiment
D. Levels of oxytocin in each individual
For each letter, match the following:
1) Experimental Group
2) Control Group
3) Independent Variable
4) Dependent Variable
Answer:
The answers are:
1) Experimental Group = Men and Women
2) Control Group = None for this experiment
3) Independent Variable = Levels of oxytocin in each individual
4) Dependent Variable = Whether or not people would like to go out on a date
Explanation:
There are some terms associated with scientific experiments. Let me explain each of the terms as captured in the question:
1. Experimental Group: The experimental group in scientific research refers to the group on which an intervention or a factor causing changes to be studied is carried out. In this example, the men and women whose oxytocin levels were measured forms the experimental group, because they fulfilled certain criteria (having certain measurable level of oxytocin) hence they are qualified for studies to be carried out on them.
2. Control Group: The control group is absent in this experiment, but ideally it is the group that possesses every other similar characteristic as the experimental group except for the factor causing the change that is being studied. They serve as a baseline to ensure that the changes noticed are caused by the experimental factor alone.
3. Independent Variable: These are variables whose value are predetermined or preconceived before the start of the experiment. They are the variables whose presence cause an outcome that is measured. In this example, levels of oxytocin are the independent variable.
4. Dependent Variable: the dependent variable is the variable that take on values/outcomes based on the effect of the independent variable.The dependent variables are not under the direct manipulation of the experimenter but have their outcome from the manipulation of the independent variable.
I need help now please
John Stuart Mill proposed the "harm principle," which basically is the idea that every individual should: a. be controlled by social institutions at all times to limit his/her ability to do harm. b. be imprisoned for life if they harm others or themselves. c. have the utmost freedom over their own actions unless they harm others. d. limit their behavior to that which is not harmful to any living thing.
Answer:
C. have the utmost freedom over their own actions unless they harm others.
Explanation:
The harm principle by stuart is the idea that people are free and have the right to act in whatever way them deem fit except what they do brings others to harm. Anything that can cause others harms is wrong and very wrong that the state can get involved to make sure that such does not occur again.
This idea is one tenet of liberalism, which is a philosophy in political science. This was proposed by John stuart Mill.
How did the development of the Silk Road benefit the Chinese economy?
A.
It decreased the cost of exporting goods.
B.
It enabled Chinese workers to migrate to job locations.
C.
It created access to an abundant supply of raw materials.
D.
It opened new markets for Chinese producers.
Answer:
A.
It decreased the cost of exporting goods.
How do countries invest in capital goods
Answer:
below
Explanation:
Capital investment occurs when businesses purchase capital goods, which are tangible assets such as buildings, machinery, equipment, vehicles, and tools. These tangible assets are then used to produce goods or services. Capital investment is a means for a company to further its business objectives.
True or False: Disease in the circulatory system does not affect other organ systems, such as the muscular system. *
True
False
Answer:
False
Basic fact:
the circulatory system is a system that contains the heart and the blood vessels and moves blood throughout the body
Explanation:
since it is a heart and blood vessel it moves blood around the body
if there is a disease in there it spreads all around the body through the blood
Two ways in which women and children can be protected from discrimination and violence
The two ways that women and children can be protected from discrimination and violence are:
Creation of laws that prohibits such activities.Sensitizing the public.What is discrimination?This is the bias against people due to the fact that the person thinks that they are inferior or they are not up to their standards.
Women and children have been subjects of discrimination for a very long period of time. They have also being targets of violence due to the fact that they are considered the weak gender.
Read more on discrimination here:https://brainly.com/question/1084594
1.4
"Sometimes conflict can be healthy". Critically discuss this statement
Answer:
yes because you may know or learn what you did not know from tha conflict and I personally think that it is good something to screem something not everyday
Conflict can be healthy at times because when controlled, it leads to strengthen relationships, teams and leads to better solutions and growth.
A Conflict refers to a deliberate action where one person or group attempts to thwart the actions of another
Even at workplaces, controlled conflict are seen as necessary to build a healthy part of personal and professional relationships
In conclusion, a conflict can be healthy at times because when controlled, it leads to strengthen relationships, teams and leads to better solutions and growth.
Read more about Conflict
brainly.com/question/24968270
In an experiment examining the effects of size of plate on amount of food eaten, one group of participants is measured after eating food on 12 inch plates. A week later, the same group of participants is measured after eating food on 10 inch plates. This is an example of a ____ design.
Answer:
Within subject
Explanation:
A within study design is also called the repeated measures design. Here we use the same participants twice or more to test the same condition. Every one on the participants are made to test all conditions.
From this question, we can see that same group of participants participated twice in the study, first after eating on 12 inch plate, secondly after using the 10 inch plate.
Are spiders social animals?
Answer:
depends on the specie and age
Explanation:
spiders tend to be aggressive towards eachother and as they grow older they become less social
Which city established the first professional police force in the United States?
A.
New York
B.
Boston
C.
Philadelphia
D.
Albany
Answer:
THE RIGHT ANSWER IS NEW YORK CITY.Option A. New York.
.....
Topic sentence for Why did the north win
Answer:
The North was more industrial and produced 94 percent of the USA's pig iron and 97 percent of its firearms. The North even had a richer, more varied agriculture than the South. The Union had a larger navy, blocking all efforts from the Confederacy to trade with Europe.
Explanation:
3. What was the name of the legal case in which the Supreme Court ruled that separate but equal was legal?
Answer:
Plessy vs. Ferguson was the name of the legal case in which the Supreme Court ruled that separate but equal was lega
How long does water stay in aquifers
Answer:
Estimated depth and residence time of the world's water supply
Soil Moisture ~2 weeks-1 year
Groundwater ~2 weeks-10,000 years
Ice caps/Glaciers 10-1000 years
Atmospheric water ~10 days
Answer:
2 weeks-10,000 years
Explanation:
Democratic structures and their definitions
When corporations and shareholders each pay taxes on the same money it is called __________ taxation.
A.
dual
B.
repeat
C.
double
D.
shadow
Answer:
It is C
Explanation:
Can somebody help me?
Answer:
Number 1
Explanation:
If a determined hunting supplier finds there are many others supplying goods for hunting, how could specialization help to improve his business?
A. The hunting supplier could focus on a specific product for hunting.
B.The hunting supplier could relocate to an area with fewer hunters.
C. The hunting supplier could increase the number of products he supplies.
D. The hunting supplier could sell supplies for another recreational sport instead.
Plz help
Answer:
the answer is A it Mack's sens
Answer:
A on edge 2020
Explanation:
(Q002) Trina has been having trouble paying her bills lately. She comes up with steps she can take to help balance her budget. First, she decides to make coffee at home instead of buying her daily latte at the expensive coffee shop near work. Then, she decides that her wardrobe is sufficient and she does not need to spend money on clothes for a while. These steps are an example of ________, which help(s) Trina solve her problem psychology.
Answer:
Subgoals.
Explanation:
Goal is a term used to describe the process of developing personal rules, acts, objectives and translating them into courses of action or an action plan.
This ultimately implies that, goal is a strategic technique used by various individuals or organizations to make an aggregate plan for either a short-term or long-term activities and action.
Also, subgoals are series of plans initiated and established based on main goals. Thus, subgoals are lesser goals that are an integral part of a greater goal.
In this scenario, Trina has been having trouble paying her bills lately. She comes up with steps she can take to help balance her budget. First, she decides to make coffee at home instead of buying her daily latte at the expensive coffee shop near work. Then, she decides that her wardrobe is sufficient and she does not need to spend money on clothes for a while. Thus, these steps are an example of subgoals, which helps Trina solve her problem psychology.
Ghana colonial master were called
Answer:
general Abu Bakar Ibn Umar
Which of the following could be a disadvantage of living under an authoritarian government? OA. The education systems are usually very strict. OB. Citizens have very few rights and freedoms. OC. Citizens must help create government policies. OD Government leaders have little authority.
Answer:
B. Citizens have very few rights and freedoms.
Explanation:
An authoritarian government is also known as dictatorship and it can be defined as a type of government in which an individual who is a sole administrator is responsible for controlling, managing and directing the affairs of the particular country. Therefore, they do not listen to anyone else but rather are saddled with the decision-making responsibilities without consulting any other government official.
The disadvantage of living under an authoritarian government that citizens have very few rights and freedoms.
Generally, citizens living in a country or society that practices an authoritarian government are usually lacking in individual freedoms because the supreme leader ignores rules limiting his or her power with respect to the citizens and institutions.
Some examples of authoritarian government around the world are the government of Idi Amin of Uganda, Adolf Hitler of Nazi Germany, Joseph Stalin of the Soviet Union etc.