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]
Which factor contributed most to Japan's cultural development?
Ghana colonial master were called
Answer:
general Abu Bakar Ibn Umar
The narrator of the film "EPIC 2015" says that "at its worst," EPIC will:
O A. provide readers with the minimum of world news
O B. be a collection of narrow and shallow information
O C. inspire at least half the population to read the news
O D. produce packages that have relevant information
Answer:
b
Explanation:
The narrator of the film "EPIC 2015" says that "at its worst," EPIC will be a collection of narrow and shallow information.
What is the role of a narrator?One who narrates stories is a narrator. The narrator chooses the point of view of the tale in a fictional work. The narrative is considered to be in the first person if the narrator actively participates in the events of the story. A third-person narrative is one in which the narrator is not one of the characters.
Sometimes, narrators are classed according to how they tell their tales. An intrusive narrator is one who interrupts the tale to provide the reader with comments on some part of the story or on a more general issue. This style of narration was popular in many 18th and 19th-century works. An unreliable narrator is one who misinterprets the situation's significance or draws erroneous inferences from what was observed.
Learn more about narrator here:
https://brainly.com/question/12020368
#SPJ7
Which of the following explains why some American Indians most likely fought on the side of the Continental army during the American Revolution?
Answer:
here is a link that will put you on a article you can read
Explanation:
https://edsitement.neh.gov/lesson-plans/native-americans-role-american-revolution-choosing-sides
gender discrimination definition
Answer:
hello! so Gender Discrimination is:-
Explanation:
Gender discrimination refers to any situation where a person is denied an opportunity or misjudged solely on the basis of their sex.
Hope it is right!
How did the French and American revolutions instigate the women's revolution?
А
Women learned how to use weapons, and they used them to fight men.
B
The calls for equality between classes inspired women to fight for equality.
с
The abolition of slavery inspired women to fight for their freedom.
D
Women learned how to read for the first time in history.
Answer:
B. The calls for equality between classes inspired women to fight for equality.
Explanation:
The French Revolution was a revolution that started on the 5th of May, 1789 and ended on the 9th of November, 1799 at the kingdom of France.
Basically, the revolution was centered around the decision made by the French citizens to redesign and restructure their political landscape and leadership styles and as such led to the abolishment of the feudal system (Ancien Regime) and absolute monarchy. Also, this revolution caused a lot of political turmoil and chaotic bloodbath leading to the death of King Louis XVI and his wife Marie Antoinette in the month of January, 1793.
The American Revolutionary War was a war of independence of the United States of America that was fought between the 19th of April, 1775 and 3rd of September, 1783. The war started when the delegates from the thirteen (13) American colonies in Congress (First continental congress) revolted against the Great Britain over their lack of representation in the colonies and refusal to give consent to parliament's taxation such as Stamp Act and Townshend Acts.
The French and American revolutions instigated the women's revolution because the calls for equality between classes inspired women to fight for equality.
What is one reason racial inequality has remained a problem in South Africa since the end of apartheid?
A. White South Africans control most large farms and businesses.
B. Black South Africans have refused to hire any white employees.
C. Black South Africans have mostly left the country.
D. White South Africans were stripped of nearly all their property.
Answer: A or B
Explanation: A P E X
When you use the availability heuristic, you are Multiple Choice making frequency estimates based on the ease with which things come to mind. assuming that something is typical of its class. mistaking visual images and other forms of mental representations for reality. overcoming mental set.
Answer:
making frequency estimates based on the ease with which things come to mind
Explanation:
The availability heuristic can be referred to as a mental shortcut. When a person relies on the example that come to their mind immediately as they evaluate a particular concept or discussion. When people estimate how likely something may occur based on the ease with which an example came to their mind. Therefore the first option is correct
Thank you!
True/False
7. Advertisements simply mirror, rather than shape, consumer preferences and values.
8. "Helps," "fights," and "up to" are common weasel words.
9. Ads that play on our fears and insecurities are known as anxiety ads.
10. Feel-good ads are used to appeal to certain images people have of themselves (as competent or responsible, for example).
11. The news media tend to extract information from the wider context, leaving us with some facts but little knowledge.
Which of the following people were descendants of the Aryans?
a. Arabians
b Phoenicians
c. Hittites
d. Persians
Answer:
The Phoenicians and Hittites were descendants of the Aryans.
Explanation:
Why so most people in the four countries we studied live in urban areas?
Urban areas always have a warm tropical climate.
There are more jobs in the factories and businesses of the cities.
Urban areas have more arable land in these countries.
Answer:
Economic reasons, such as quality of housing and cost of living are other common reasons for relocating from a rural to an urban area. Education is also a large factor. Urban areas have more opportunities for employment, especially in competitive, progressive industries, such as computers, technology and high-level corporations.
Explanation:
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.
Think About it!
How do the Moon, Earth and Sun compare in size? Explain your thoughts in your science notebook.
Explain:
Do it!
Sentence stems
I think it will take the Moon _________ days to revolve around the Earth.
I think it would take the Earth ________ days to revolve around the Sun.
Understanding!
Summarize the understanding section:
Apply it!
1. The marble represents the____________ because_____________.
2. The basketball represents the ______________ because _________________.
3. The Christmas ornament represents the _________________ because __________________.
(science) I NEED IT ASAP PLEASE
Answer:
Now some eclipses of the sun by the moon are total, and some are annular, as seen from Earth. ... Bottom line: The sun's diameter is about 400 times larger than that of the moon – and the sun is also about 400 times farther from Earth. So the sun and moon appear nearly the same size as seen from Earth
100 points whoever wants it, Read about Doctor McCollum and then answer the question.
Doctor McCollum was a member of the Klan, but African Americans liked him anyway. Why?
He escaped from the Yankees.
They did not know he was a Klan member.
He gave medical care to African Americans.
They preferred Klan members to Northerners.
Answer he gave medical care to them
Explanation:
Answer:
b
Explanation:
each state has power to a. control trade with foreign nations b. coin and print money c. conduct or hold elections
Answer:
C. conduct or hold elections
Which is true of Andrew Jackson’s life?
He was born in a log cabin to a poor family.
He was very unpopular and had trouble getting votes.
His father financed his candidacy for President.
He was a common man of middle income by the time he became President.
Your Answer is
He was a common man in the middle of income by the time he became the president
To find the most direct distance between two places on Earth, what would be the best tool to use?
A) map
B) globe
C) compass
D) atlas
ways in which one's acceptance of responsibility can influence
effective communication,
Answer:
Explanation:
When you accept responsibility you become more vocal and confident to communicate. 3. If you take responsibility, you can be trusted to do a job. Effective communication will not happen where there's no trust, reliability and responsibility
PLZ EXPLAIN PLEASE
Based on the information in the chart, what can be concluded about Mexico?
A.
It was heavily influenced by Spain.
B.
It was heavily influenced by Portugal.
C.
It has remained free from European influence.
D.
Both A and B are correct.
Answer:
D
Explanation:
pretty sure its d
Who are the Descendants of Europeans and Native Americans?
Why do the citizens of Quebec want to become independent of Canada?
A
They want to become part of France.
B
They want to preserve their cultural heritage
They want to adopt a presidential democracy form of government.
D
They want to keep all profits from the exportation of natural resources.
river basins are suitablr for human settlement why
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
brainly.com/question/22559682
A higher demand for a good or service than what is currently available in the market is the definition of __________.
A.
surplus
B.
scarcity
C.
shortage
D.
supply
Please select the best answer from the choices provided
A
B
C
D
Explanation:
C. A shortage means that there isn't enough for demand. Scarcity just means there isn't much of it. Shortage includes demand. A is a good amount for anything. And D just means how much supply there is.
So basically its C.
choose examples from the list below that best represent the increase of economic development in manufacturing industries in European countries and their colonies during the Industrial Revolution.
Answer:
A and B
Explanation:
2.8
Why is it so important to check the accreditation of a private higher
learning institution? Explain THREE reasons.
(2 x 3=6)
Answer: Accreditation is important because it:
Helps determine if an institution meets or exceeds minimum quality standards. Helps students determine acceptable institutions for enrollment. Assists institutions in determining acceptability of transfer credits. Read more about the transfer of credits.
It is very important to check the accreditation of learning institutions in order to make sure that
The school is a quality oneTo know if to enroll in the school or not.To know if the school has the requirements and the resources that you would need in your learning.What is accreditation of UniversitiesThis is an approval from a university accrediting agency that helps to establish that a school has the requirements that establishes them as an institution of learning.
In conclusion knowing if a school is accredited would help you determine if it a good school for you.
Read more on accreditation here:https://brainly.com/question/19764649
Which of these presidential activities is not protected by the power of executive privilege?
A.)conversations with advisors about unlawful party activities
B.)discussions with advisors about ways to increase party power
C.)meetings with advisors about the actions of specific legislators
D.)strategic planning sessions with advisors about foreign diplomacy
uses of a back stitch
Answer:
In embroidery, these stitches form lines and are most often used to outline shapes and to add fine detail to an embroidered picture. It is also used to embroider lettering. In hand sewing, it is a utility stitch which strongly and permanently attaches two pieces of fabric.
Trade was very important to the Aztecs. Merchants carried goods such as gold, lake salt, and fine cloths to the southern regions of Mesoamerica. There, the Aztecs traded for other goods such as exotic bird feathers and jaguar skins. The Aztecs particularly desired cacao beans, which could be made into chocolate.
The passage describes how the Aztecs and other Mesoamericans were dependent on each other for
A.
agricultural items.
B.
animal products.
C.
cotton and rubber.
D.
luxury items.
While watching the TV news, you and your friends see a report on the capture of a suspected serial killer.
One of your friends makes the comment that some people are just "born bad." Another friend argues that
the suspect must have had a pretty bad childhood and a lot of other really bad life experiences for him to
behave so violently. Which side of the nature versus nurture debate is each of your friends on? How do
you think psychologists would try to answer the question of what causes violent behavior? Explain.
Answer:
The tv news reporter is the saddest part of the story. It gets super stinky and gross in the begging and starts to get all joyful at the end. You know?