Solution :
a). Let x denotes ACT scores.
ACT scores = [tex]$\{ 22,28,20,21,28,23,26 \} ; n = 7$[/tex]
Mean, [tex]$(\overline x)=\frac{\sum x_i}{n}$[/tex]
[tex]$=\frac{168}{7}=24$[/tex]
Sample variance, [tex]$S^2=\frac{1}{n-1}\left(\sum x_i^2-n\overline x^2 \right)$[/tex]
[tex]$=\frac{1}{6}(4098-7 \times 24^2)$[/tex]
[tex]$=\frac{66}{6}$[/tex]
= 11
b). To test whether or not variance of ACT scores of population (say [tex]$\sigma^2$[/tex]) of the UTC students is significantly more than 8.
Consider the hypothesis :
[tex]$H_0: \sigma^2 \leq8$[/tex] vs [tex]$H_a: \sigma^2 >8$[/tex]
It is a right tailed test and α = 0.05
We have
[tex]$x^2_{n-1} = \frac{(n-1)s^2}{\sigma^2}$[/tex]
So test statics is
[tex]$x^2_7=\frac{(7-1)11}{8}$[/tex]
[tex]$=\frac{6 \times 11}{8}$[/tex]
= 8.25
Since our [tex]\text{test statistics is less than the critical value }[/tex]and it falls in a acceptation region, hence we fail to reject [tex]$H_0$[/tex] and conclude that variance is not greater than 8 significantly.
what is the full form of Earth
The Full form of EARTH is Education And Research Towards Health
Climate zones result in specific vegetation types developing in a region. Which climatic region is hot and wet all year round, resulting in tropical rainforest Vegetation?
Places with a tropical wet climate are also known as rainforests. These equatorial regions have the most predictable weather on Earth, with warm temperatures and regular rainfall. Annual rainfall exceeds 150 centimeters (59 inches), and the temperature varies more during a day than it does over a year.
Approximately what percent of the world's population owns half of all global personal wealth?
O2 percent
O 5 percent
O 10 percent
o 20 percent
How did free elections and democratic government benefit Mexico and Central America countries ?
Answer:
DONT U HAVE WIKIPEDIA?? IT WORKS
Point M is the midpoint of AB. AM = 23x + 9, and AB = 8x – 50. what is the length of AM?
Answer:
your giving me a hard time ☺️
Which group has the greatest influence in determining what goods and services will be produced in a communist economic system? O farmers O government officials O business leaders
The group that has the greatest influence in determining what goods and services will be produced in a communist economic system is the government official's group. Option B is correct.
What is communist economic system?People and the group of peoples, but not the government, control the free exchange of goods and services under this economic system, and this controlling system is also called as the communist economic system.
Communism is that style of economy where the government owns all property. The government official's group has the most power in determining what commodities and services will be produced under a communist economic system.
Therefore, option B is correct.
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Organic sedimentary rock forms
from which of these?
A. cooling magma
B. things that were once living
C. fragments of igneous rock that are pushed
together
D. fragments of feldspar and silica
Giải thích sự khác biệt về hiện tượng mùa giữa cực Bắc và cực Nam
Answer:
Explanation:
North Pole:
Essentially a sea, an "ocean" located in the northernmost region of the Earth. It is surrounded by a layer of permafrost. This is also the main feature that makes the big difference between this area and Antarctica.
Has a maximum depth of about 4,000m.
Antarctic:
Is a continent. Due to its continental nature, the climate here is much harsher than that of the Arctic.
Also because it is a continent, a "giant iceberg" about 3,000m above average sea level, so the temperature is lower than Antarctica (the higher you go, the colder it gets).
Covering an area of about 14,000,000 square kilometers, twice the size of Australia.
The oldest rocks that make up Lo'ihi is an estimated 400,000 years old. Using the rate of plate movement that you calculated in question #2, how far has it traveled in km since its first lava cooled? Hint: you need to rearrange the rate formula to determine distance and then convert cm to km. Rate=distance/time so distance= rate x time.
Age difference is 38.7 million years. Distance is travelled = 34.68
What is the oldest rock?
The term "oldest rock" found on Earth, so far, date back about 4.28 billion years. Canadian bedrock as the oldest rock on earth.
10. 5 cm is the distance between the two. 1 cm = 250 km. So, the age difference is 38.7 million years. Distance between about Lo'ihi is 3358.7 km. So, rate movement is 3358.7/ 38.7 × 0.1 rate is 8.67 cm/yr.
Given, the oldest rocks that make up Lo'ihi is an estimated 400000 years old. So, distance travelled = Rate × Time; 8.67 × 400000; 3468000 cm; 34.68 km
As a result, distance is converted into 8.67 cm / yr.
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What form of deductive reasoning is used in the given argument? If a number ends in 0, then it is divisible by 10. If a number is divisible by 10, then it is divisible by 5. If a number ends in 0, then it is divisible by 5. A. Law of detachment B. Law of syllogism C. Law of contrapositive D. Identification of counterexample
Answer:
B. Law of syllogism.
Explanation:
The deductive reasoning behind the set of arguments is the Law of Syllogism, defined by the following logical rule:
1) [tex]\alpha \Rightarrow \beta[/tex]
2) [tex]\beta \Rightarrow \gamma[/tex]
Hence,
3) [tex]\alpha \Rightarrow \gamma[/tex]
In this case, we have three simple propositions:
[tex]\alpha =[/tex] A number ends in 0.
[tex]\beta =[/tex] A number is divisible by 10.
[tex]\gamma =[/tex] A number is divisible by 5.
The reasoning represented by the consecutive arguments is:
1) If a number ends in 0, then it is divisible by 10.
2) If a number is divisible by 10, then it is divisible by 5.
Hence,
3) If a number ends in 0, then it is divisible by 5.
HELP PLS someone help me please
Answer:
Dryness
Explanation:
Less rainfall could mean more wildfires that get sparked because of the dry weather. It also could affect you with dryer skin, less moisture in the air means drier skin.
Hope this helps!
Define soil erosion. Describe factors causing soil erosion. Explain measures to be adopted to tackle soil erosion.
Answer:
Soil erosion is the process by which top soil particles, specifically on steep inclines such as riverbeds, hills, or mountains are loosened or washed away.
Explanation:
Factors include heavy rainstorms, removal of natural trees, bushes, and other vegetation from the area, and water runoff.
Measures to counteract erosion include planting more permanent vegetation, installing geotextiles, and riprap (stabilizing stones and boulders).
Os deslocamentos populacionais apresentam uma série de causas. Cite dois motivos que contribuem pra que o individuo migre de uma região para outra:
Answer:
Busca de melhores padrões de vida e fuga da violencia são dois motivos que contribuem para que um individuo migre de uma região para a outra.
Explanation:
Olá. Antes de explicar a sua pergunta, eu preciso te dizer que esse não é o site brasileiro e sim o site estadunidense. Isso significa que você só pode postar perguntas em português no campo "world Languagens", caso contrario a sua pergunta poderá ser excluída. Então, da próxima vez, por favor, utilize o campo apropriado.
As pessoas migramd e uma região para outra por diversos motivos. entretanto, o principal motivo é a procura pór melhor qualidade de vida, através da busca por emprego. Muitas regiões possuem uma taxa de desemprego muito alta, enquanto outras apresenta uma taxa de desemprego menor. Isso faz com que muitas pessoas que não encontram emprego nas suas regiões se mudem para outras regiões onde a empregabilidade é um fator acessivel.
A fuga de regiões com alto nível de violencia também é uma causa de migração. As pessoas acabam se mudando para áreas mais tranquilas e melhor policiadas, onde elas poderão ter uma segurança maior.
They ate a. ellos comieron c. ellos comerion b. ellos comeraron d. ellos comen
Answer:
ellos comieron is they ate
Explanation:
I speak Spanish that is how we would say it
Why does biomass change at different levels?
Answer:
Biomass can be lost between stages because not all of the matter eaten by an organism is digested. Some of it is excreted as waste such as solid faeces , carbon dioxide and water in respiration and water and urea in urine.
Explanation:
when did the Jurassic Period end? A) 66 million years ago B) 144 million years ago C) 163 million years ago D) 190 million years ago
Answer:
B) 144 million years ago
Explanation:
it started around 201 million years ago and ended around 144 million years ago. it was preceded by the triassic period and was followed by the cretaceous period.
2. What country is made up of many islands and surrounded by several seas? *
Answer:
Many island countries are spread over an archipelago, as is the case with the Federated States of Micronesia and Indonesia (both of which consist of thousands of islands).
...
Sovereign states and states with limited recognition.
what are the 4 main climate zones of Africa
Answer:
Based on the combination of temperature, precipitation and evapotranspiration, Africa canbe divided into four main climatic zones;
1) arid and semi-arid
2) tropical
3) equatorial
4) temperate
plz mark me as brainliest and thanks
Answer:
Saharan, Sahelian, wet tropical and equatorial
If Earth warmed up, and more snow fell because of more water vapor in the atmosphere, and that snow then reduced Earth's temperature, which increased snow cover, then the initial increase in snow fall would be considered ___________ feedback, while the continued increase in snow fall would be____________feedback. a. open; closed b. negative; negative c. positive; positive d. positive; negative e. negative; positive
Answer:
e
Explanation:
found on quizlet
What is china's importance to the world?
Answer:
Explanation:
China has quickly become the second-largest economy in the world. 2. China contributed almost half of the global growth in 2013, much more than the United States. Market Realist – China is important to the world because it makes up 50% of the world’s GDP growth.
Answer:
China provides us with any good or product we require but now they are only producing fake material
.............. is influenced by economic growth and development by technological change.
Answer:
Humans standard of living.
Explanation:
Humans standard of living is influenced by economic growth and development through technological change because new technologies in industrial sector increases the production which can be exported to other countries which lead to economic growth so due to strong and good economy citizens of that country allows them to make a high standard living.
Why do higher wages indicate a higher level of development for a country ?
Higher wages indicate a higher level of development because high salaries show that they have contributed their talents to the country's economy.
Explanation:
what is the meaning of word
Answer:
word: a single distinct meaningful element of speech or writing, used with others (or sometimes alone) to form a sentence and typically shown with space on either side when written or printed.
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Nadine conducted an experiment with four possible outcomes. Trevor conducted the same experiment, but he doubled the number of trials. Which statements are true?
Answer:
Explanation:
Trevor has more experimental outcomes than Nadine.
Trevor's experimental probability is more likely closer to the theoretical probability than Nadine's
Reason being that more trials will result in more outcomes.
Since, Trevor has more trials which decreases the variation between theoretical and experimental and hence experimental probability is closer to theoretical probability
Which of the following describes the work of an agronomist?
the study of field crops
the study of field ecosystems
the study of landscape design
the study of commercial uses of plants
Which of the following have led to the advancement of mapmaking techniques
Answer:ok
Explanation:
Which feature is characteristic of a bottomland hardwood forest?
Answer:
They contain many plant species, structurally complex vegetation, a great deal of cover, and a deep litter layer.
Explanation:
which statement best explains what happens during an earthquake?
A. a tsunami causes rock to break underground
B. a volcanic eruption causes tectonic plates to shift underground
C. potential energy stored in rock underground is released as kinetic energy
D. tectonic plates slowly bend underground
Answer:
The answer is C.
Explanation:
The rocks are grinding up against each other and when the pressure breaks, the plates move causing the earthquake.
Answer:
A:a tsunami causes rock to break underground
A geographer is examining the distribution of all earthquakes that occurred in the country in the past year. The geographer is reviewing the world at which of the following scales?
A - National
B - International
C - Local
D - Individual
E - Global
Answer:
National
Explanation:
National means confined to a specific country since the geographer is focusing on one country that's the reason we choose option A
The geographer is reviewing the world at national level of scales. Thus, option (A) is correct.
Who is geographer?The person who studies about the geography is called as geographer. He explores physical as well as the societal properties which spread across the earth.
The physical features and characteristics of the earth are analyzed and interpreted by the geographer. It is the broad field of study which tells about the relationship of the humans and the earth physical features. It tells about the environment, species, organisms living in the particular area.
When the geographer studies about the situation at the country level, it is termed as national. The study of the earthquake is measured at national level.
Therefore, it can be concluded that option (A) is correct.
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Make a flow chart of soil types found in india
Put the line increasing
Explanation:
Draw a graph and put a line saying that it's increasing
