ACT scores of a sample of UTC students are shown below. Student ACT Score A 22 B 28 C 20 D 21 E 28 F 23 G 26 a. Compute the mean and the variance. B. At 95% confidence, test to determine whether or not the variance of the ACT scores of the population of UTC students is significantly more than 8.
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.
Which of the following statements best describes a similarity between dry climate zones and high latitude zones?
A.
Both have warm temperatures all year.
B.
Both occur only on one continent.
C.
Both experience low levels of precipitation.
D.
Both occur only in coastal areas.
Please select the best answer from the choices provided.
A
B
C
D
Answer:
C
Explanation:
what is absolute location
Answer:
A place at it's exact place on earth
Answer:
Explanation:
Here's what absolute location is and how to find your location at any time. Absolute position refers to a specific, fixed point on the surface of the Earth represented by a scientific coordinate system. It is more accurate than relative location, describing the location of a place using other nearby locations
a dot map is used to represent population data true or false
Answer:
True because a dot map is more specific compared to other forms of representation. They also show spatial patterns.
Explanation:
A dot map is more specific compared to other forms of representation. They also show spatial patterns.
Answer:
True because a dot map is more specific compared to other forms of representation. They also show spatial patterns.
Explanation:
What are the Political impacts of chocolate?
Answer:
The big issues in that chocolate you like so much: low prices for farmers, unsustainable practices, child labor. These are still with us.
European governments and legislators urged to help cocoa farmers as prices continue to fall in West Africa: Fairtrade urges EU to implement regulation to recognise the right to living income in cocoa sector in any forthcoming human rights due diligence regulation, as European Cocoa Association calls for an ‘enabling environment’ across the industry.
Which of the following is the most vital way in which humans depend on plant energy?
as food
as biofuels
as firewood
as hydroponics
give an account of the northern plains of India.
Answer:
The northern plain has been formed by the interplay of the three major river systems, namely– the Indus, the Ganga and the Brahmaputra along with their tributaries. This plain is formed of alluvial soil. The deposition of alluvium in a vast basin lying at the foothills of the Himalaya over millions of years, formed this fertile plain. It spreads over an area of 7 lakh sq. km. The plain being about 2400 Km long and 240 to 320 Km broad, is a densely populated physiographic division. With a rich soil cover combined with adequate water supply and favourable climate it is agriculturally a very productive part of India
te de que manera crees tu que Podrías apoyar a los negocios que dependen del turismo durante esta Pandemia?
Answer:are you talking about the pandemic
Explanation:
A camper takes a 100-gram piece of basalt rock from a campfire and places it in a cup holding 250 mililiters of water. The temperature of the rock is 300C and the temperature of the water is 20C. Air temperature is also 20C. In the process of heating the water with the basalt, the temperature of the basalt decreased more than the temperature of the water increased. This difference most likey occured because
Answer:
This difference most likely occurred because the specific heat of water is higher than that of basalt.
Explanation:
Basalt is a fine-grained, dark-colored igneous rock that is mostly made up of plagioclase and pyroxene minerals.
Water is a gaseous, liquid, or solid substance made up of the chemical elements hydrogen and oxygen, and it can exist in gaseous, liquid, and solid states.
Basalt can be used to heat water. But when the specific heat of water is higher than that of basalt, the temperature of the basalt will drop more than the temperature of the water will rise when the water is heated with the basalt.
Therefore, this difference most likely occurred because the specific heat of water is higher than that of basalt.
6.
Explain how overgrazing can increase the risk of flooding.
Answer: Grass holds soil together which keeps everything together. If overgrazing occurs, plants would be gone meaning only soil is left in the open. This will make the risk of flooding to increase drastically.
Explanation:
What language is spoken by the largest number of Indian people?
a.
Bengali
c.
Hindi
b.
Sanskrit
d.
Arabic
Answer:
C. Hindi
Explanation:
Over 528 million native speakers
write a paragraph explaing why collect a can is an example of sustainable development
Sustainable development means utilizing the resourses carefully and developing the nation without damaging the environment. So , Collecting a can is an eg of sustainable development bcuz you can recycle the can n get new things from it & recycling saves the environment as well as develops the needs.
Collecting cans is an example of sustainable development because it is more environmental friendly and helps in recycling.
What is sustainable development?This is a term that has to do with all sorts of developments that would lead to having a better and more sustainable future.
Recycling used cans is sustainable for the environment and also a wise use of resources.
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¿En qué medida la guerra civil de 1829 representa una lucha ideológica?
Explanation:
Ideology is described as a collection of more or less structured concepts that identify a community, the goals sought on their behalf, and a course of action. Ideology is significant in two ways.
To begin with, it is useful for armed organisations in socialising soldiers with disparate objectives into a cohesive group, reducing principal-agent issues, and prioritising competing aims.
Some individuals of terrorist organizations act on moral convictions in ways that are not reducible to utilitarian reasoning, while others limit their strategic options for altruistic purposes, which are frequently normative considerations dictated by their ideology.
Describe four common characteristics developed countries have that give them an advantage over less-developed countries
Answer:
Developed countries have: High level of education, high employability rate, good infrastructure, good economy.
Explanation:
Developed countries are able to promote a very efficient standard of living for their citizens. This is due to the fact that they have many positive and efficient factors that are essential for a good quality of life and that promote the population more than the basics necessary to have a good life. This gives developed countries many advantages, as a population that has its needs met is capable of creating a stronger country. Among these advantages we can mention the high level of education, which allows for a high level of employability. This allows the country to have a population qualified to occupy all productive sectors, which provides a good economy and a good infrastructure that is capable of making the country functional, modern and dynamic.
Types of forest management techniques.
Forest Wilderness
Managed Forests
Urban Forests
Wildland-Urban Interface (WUI)
Plantation Forests
TIMBER STAND IMPROVEMENT.
TIMBER HARVESTING.
REGENERATION.
PRESCRIBED BURNING.
In two or more sentences describe a procedure to increase the deposition of sediments at the mouth of a stream. Write your answer in your own words
Answer:
A sediment is any solid material that is moved and deposited in a new place and can be anything from rocks, or the remains of plants and animals.
Therefore, one way of increasing the deposits of sediments at the mouth of a stream is by reducing the amount of vegetation living near the stream.
By doing this, there is no more cover for the soil and this causes erosion to occur and then the stream carries the loose sediment.
Study the map, then use the drop-down menus to complete the sentences.
The region includes Ethiopia.
is the smallest country in Africa by landmass.
is the largest country in Africa by landmass.
, is the largest city in Africa by population.
Answer:
1- Horn of Africa.
2- Seychelles.
3- Algeria.
4- Cairo, Egypt.
Explanation:
1- The Horn of Africa is the eastern tip of mainland Africa, where the Red Sea empties into the Indian Ocean, where the nations of Ethiopia, Somalia, Eritrea, and Djibouti are located.
2- The Seychelles is the smallest country in Africa, with a size of 459 square km. The country scores the highest on the development index (HDI) of all countries on this continent, but at the same time has the highest inequality of income.
3- With a size of 2,381,741 km², Algeria is the largest country in Africa in terms of area.
4- Cairo is the capital of Egypt and consists of the governorates of Cairo and Giza. The city has about 20 million inhabitants. However, the unofficial population of Cairo is much higher, partly due to the high number of illegal immigrants in the city. With about 20 million inhabitants, the entire metropolitan region of Cairo is the largest city in Africa and the Middle East and one of the largest cities in the world. The city is also one of the most polluted cities in the world and has a huge traffic chaos.
Answer:
eastern, Seychelles, Algeria; Lagos, Nigeria
Explanation:
edg 2023
What does it mean by the youngest religion? Is it the oldest or most recent (used today) religion?
Young religions, also called New religious movements (NRMs) are religions created recently, examples like LaVeyan Satanism (1966), Thelema ( early 1900s), Latter Day Saints (LDS / Mormons, 1820s), Jehovah's Witnesses (JWs, late 1870s), Discordianism (1963)
Older religions include Judaism and Hinduism, etc
"Most recent" is difficult to answer, but the largest religion today is Christianity with over 2 billion followers, followed by Islam and then irreligion.
Why are there glaciers near the equator?
Answer:
It's possible that glaciers exist at the Equator if they are at high enough in elevation that the air becomes cold again and snow can fall
Explanation:
Which type of model is represented in the following image?
Graph
Map 3
Dimensional
Small-scale object
Answer:
the answer is map
Explanation:
it is a map of america
Uniformitarianism assumes that Question 14 options: Earth is quite young and is shaped by dramatic events. catastrophic episodes have regularly occurred. the same physical processes we see today are a key to understanding the processes that have been operating throughout geologic time. mountains, plains, and canyons formed by catastrophic events.
James Hutton Along with Charles Lyell, James Hutton developed the concept of uniformitarianism. He believed Earth's landscapes like mountains and oceans formed over long period of time through gradual processes.
Explanation:
might it help you
How did the building of pyramids lead to advances in science and mathematics in Ancient Egypt
Answer:
The great pyramid reveals phi, pi, Euler's constant, the speed of light, the Fibonacci series, the golden mean and much more, all embedded within its sacred geometry. It seems our science and mathematics are not as advanced as they were when the pyramids were built.
If a map has a scale of 1 cm: 500 kilometers and the distance from Kingston to Port-Au-Prince, Haiti is 8 centimeters, then how far is the actual distance between Kingston and Port-Au-Prince?
Answer:
4000 kilometers
Explanation:
1 cm equal 500 kilometers
8 cm equals 4000 km
How is today’s weather related to your region climate
Explanation:
Weather describes the condition of the atmosphere. It might be sunny, hot, windy or cloudy, raining or snowing. Climate means the average weather conditions in a particular location based on the average weather experienced there over 30 years or more.
Weather depends on individual regional climate of area.
What is weather?The condition of the atmosphere, including its temperature, pressure, wind, humidity, precipitation, and cloud cover, is referred to as the weather. It is distinct from climate, which is the average of all weather events for a certain place over around 30 years.
On the other hand Climate, is totally different concept than weather, is the culmination of the weather patterns that have persisted across a region for an extended period of time.
The troposphere, the lowest part of the atmosphere that reaches 6-8 km (4-5 miles) at the poles and around 17 km (11 miles) at the equator, is where weather, as it is most frequently understood, takes place.
Therefore the degree of weather changeability varies greatly across the globe. It is particularly noticeable in the westerly wind's mid-latitude belts, where a typically continuous procession of moving high- and low-pressure centers altering the weather pattern.
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what causes a hurricane to occur
Answer:
rise in water levels
Explanation:
hurricane is caused by rise in water levels of the sea
Which of the following is the
most complete definition of
electromagnetic radiation?
A. energy that can travel through space in the
form of waves
B. the energy formed in the sun's core
C. heat waves that travel through planets
D. light that has a higher frequency than visible
light
Answer:
I think the answer is A!!!!!
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.
what is map scale?
what is map?
Difference between small scale map
and large scale map ?
Answer like this 1.
2.
like this
Question By:-
Anant Kumar
As a religious faith, Candomblé appropriates beliefs from both __________.
A.
African faiths and Catholicism
B.
Hinduism and Catholicism
C.
Hinduism and Islam
D.
Buddhism and Catholicism
Answer:
A. African faiths and Catholicism
Answer:
A
Explanation:
got it right on edge!! stay safe!
¿Que entiendes por el desarrollo de un país ?
Answer:
En Español: Un país desarrollado, un país industrializado, tiene una economía madura y sofisticada, generalmente medida por el producto interno bruto (PIB) y / o el ingreso promedio por residente. Los países desarrollados tienen una infraestructura tecnológica avanzada y diversos sectores industriales y de servicios.
En English: A developed country, industrialized country, has a mature and sophisticated economy, usually measured by gross domestic product (GDP) and/or average income per resident. Developed countries have advanced technological infrastructure and have diverse industrial and service sectors.