Determine μoverbar(x)and σoverbar(x) from the given parameters of the population and the sample size. Round the answer to the nearest thousandth where appropriate. μ = 25, σ = 12, n = 16

Answers

Answer 1

Answer:

μoverbar(x) = 25

σoverbar(x) = 3

Explanation:

Given That :

Population mean, μ = 25,

Population standard deviation, σ = 12,

Sample size, n = 16

The sampling distribution is approximately normal from the central. Limit theorem and hence, μoverbar(x) = μ = 25

σoverbar(x) is the standard error and is obtained thus :

σoverbar(x) = σ / sqrt(n)

σoverbar(x) = 12 / sqrt(16) = 12 /4 = 3

Answer 2

Following are the calculation to the [tex]\bold{\mu_{\bar{x}} \ and\ \sigma_{\bar{x}}}[/tex]:

Given:

[tex]\mu = 25\\\\\sigma = 12\\\\ n = 16[/tex]

To find:

[tex]\bold{\mu_{\bar{x}} \ and\ \sigma_{\bar{x}}}[/tex]:=?

Solution:

[tex]\mu=[/tex] population mean [tex]\sigma =[/tex]the population's standard deviation [tex]n=[/tex] size of the sample [tex]\mu_{\bar{x}} =[/tex] the average of a large number of samples of size 16 whose individual means are [tex]\bar{x}[/tex] [tex]\mu_{\bar{x}} = \mu = 25\\\\[/tex][tex]\sigma_{\bar{x}}[/tex]= the average standard deviation of all the different samples drawn from the population.

   [tex]\to \sigma_{\bar{x}} = \frac{\sigma }{\sqrt{n}} = \frac{12}{\sqrt{16}} = \frac{12}{4}= 3[/tex]

Therefore, the final value of [tex]\bold{\mu_{\bar{x}} \ and\ \sigma_{\bar{x}}}[/tex] is "25 and 3".

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Related Questions

Unit 4: Q1) Thomas hates physically going to a bank. He wants to be able to open an account and start a banking relationship without ever leaving his house. What is the BEST banking option for Thomas?

A.
credit union

B.
web-only financial institution

C.
savings and loan institution

D.
commercial bank

Answers

Answer:

B. web-only financial institution is the correct answer.

Explanation:B. web-only financial institution is the correct answer.

Since Thomas hates physically going to a bank, the best banking option for him is: B. web-only financial institution.

What is a web-only financial institution?

A web-only financial institution is also referred to as internet banking and it can be defined as a type of banking system that is completely operated over the internet.

This ultimately implies that, a web-only financial institution doesn't require the physical presence of its customers as they can perform all of their transactions from the comfort of their homes, provided that they have an active internet connection.

Read more on web-only financial here: https://brainly.com/question/20572715

According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
1.Compute the probability that a randomly selected peanut M&M is not orange.
2.Compute the probability that a randomly selected peanut M&M is red or green.
3.Compute the probability that three randomly selected peanut M&M’s are all blue.
4.If you randomly select four peanut M&M’s, compute that probability that none of them are green.
5.If you randomly select four peanut M&M’s, compute that probability that at least one of them is green.

Answers

By taking the quotients between the percentages, we will get:

1) 0.7702)0.2703) 0.0124) 0.5225) 0.478

How to get the probabilities?

1) The probability of not getting an orange one is equal to the quotient between the percentage of not orange ones, and 100%.

We know that 23% are orange, then 100% - 23% = 77% are not orange, so the probability is:

P = 77%/100% = 0.770

2) 12% are red, 15% are green, so 27% are either red or green, the probability is:

P = 27%/100% = 0.270

3) To get 3 blues we can estimate the probability as:

P = (23%/100%)^3 = 0.23^3 = 0.012

But this would be incorrect, as we draw blue peanuts, the probability of drawing another is reduced (because now there are less on the package).

4) Same procedure as before, 15% are green, so 85% are not green, so to draw 4 non-green ones the probability is:

P = (85%/100%)^4 = 0.522

5) The probability of getting at least one green in 4 daws is 1 less what we got above.

P = 1 - 0.522 = 0.478

If you want to learn more about probability, you can read:

https://brainly.com/question/251701

I have a question for you when you finished everything and you got to the last day on edge did they make you go in and take a test??2021

Answers

my friend who does edge said no, but they have this smart technology to know if you are cheating .. when you start an exam you have to type a paragraph so they can see how you type and if in the exam it is different it will assume you are cheating. you must have your camera on cause it tracks how your eyes move .. and it also knows if you switched out of the test tab or not.

17. Which of Erikson's Stages of Psychosocial Development do you feel that you are
in? Explain the stage and why you think you are in that stage.

Generativity vs Stagnation

Answers

Generativity versus stagnation is the seventh of eight stages of Erik Erikson’s theory of psychosocial development. This stage takes place during middle adulthood between the ages of approximately 40 and 65. The eighth and last stage is integrity vs. despair.

During this time, adults strive to create or nurture things that will outlast them; often by parenting children or contributing to positive changes that benefit other people. Contributing to society and doing things to benefit future generations are important needs at the generativity versus stagnation stage of development.

What Are Generativity and Stagnation?
Generativity refers to "making your mark" on the world by caring for others as well as creating and accomplishing things that make the world a better place. Key characteristics of generativity include:

Making commitments to other people
Developing relationships with family
Mentoring others
Contributing to the next generation.

As you might imagine, these sorts of things are frequently realized through having and raising children. Those who are successful during this phase will feel that they are contributing to the world by being active in their home and community.

Stagnation refers to the failure to find a way to contribute. These individuals may feel disconnected or uninvolved with their community and with society as a whole. Some characteristics of stagnation include:

Being self-centered
Failing to get involved with others
Not taking an interest in productivity
No efforts to improve the self
Placing one's concerns over above all else
Those who fail to attain this skill will feel unproductive and uninvolved in the world.

(02.03 MC)Your friend has signed up for a dance class and thinks you should join to get more cardio exercise. What type of peer pressure is this?

Answers

Answer:

positive peer pressure.

Based on the chart below, which of the following statements is true?
A. Air pressure is higher on Sunday than it is on Wednesday
B. Air pressure is higher on Wednesday than it is on Friday
C. Air pressure is the same throughout the chart
D. There is no evidence of air pressure in the chart

Answers

Answer:

definitely D

Explanation:

there is literally no evidence of air pressure in the chart at all

Unit 4 Q8: Which financial service offers credit opportunities that can be short-term or offered over an extended period of time and are used for big things like home mortgages, automobiles, home improvements, education, medical expenses, or travel?
A.
payment services

B.
loans

C.
savings

D.
financial planning

Answers

Pretty sure the answer is B

Answer:

b. ) loans

Explanation:

Use an index card to answer the questions.
a. What is the perimeter of your index card in inches?

Answers

Answer:

Use a ruler to find the length and width.

Then do: length + length + width + width to find the perimeter

Which of the following is not a benefit of a natural fire in an environment?

A. new plant growth
B. nutrients return to soil
C. organisms become extinct
D. new habitats created

Answers

Ummm I feel like it’s C but at the same time B but I go w B sorry if i’m wrong

Base your answer to the following question on the following maps and your knowledge of civics: Two maps are shown depicting unemployment in the United States. One map shows rates in 2007 and the second shows unemployment rates in 2009. A map key shows that gray represents 16.5 percent or greater unemployment, purple represents 13.1-16.4 percent unemployment, dark red represents 11.0 - 13.0 percent unemployment, bright red represents 8.9-10.9 percent unemployment, dark orange represents 7.1-8.8 percent unemployment, light orange represents 5.5-7.0 percent unemployment, bright yellow represents 4.1-5.4 percent unemployment, white represents 4.0 percent or lower unemployment. The 2007 map shows a large portion of the Midwest in white. The west coast is largely yellow and orange. The east coast and central part of the U.S. are also largely yellow and orange. There are a few scattered splotches of red, and a very few purple and gray areas. The 2009 map is dramatically different. It shows a large area of the central U.S. and most of the west coast in red, dark red, purple and gray. There are now very few white areas on the entirety of the map. The Midwest still has the lowest unemployment, but much of it is now yellow and orange. Public Domain It has been argued that elected officials are less likely to be reelected if the unemployment rate increases during their term in office. If this is true, which statement is supported by the maps above? Candidates running for reelection in 2009 were less likely to win their races. Candidates running for office in 2009 were highly unlikely to be impacted by unemployment rates. Candidates running for office in 2007 were highly likely to be impacted by unemployment rates. Candidates running for reelection in 2009 were more likely to win their races.

Answers

Answer:

A)Candidates running for reelection in 2009 were less likely to win their races.

Explanation:

Answer:A i took the quiz

                       

Controlling populations of harmful invasive species is a challenge. Using any pest control method could potentially harm the ecosystem. If you had to decide whether to use the frog control method proposed by the scientists in the video, what five questions would you ask the scientists before making your decision?

Answers

Answer:

list

show the video dude it's needed

Answer:

Numerous studies have shown that caffeine is toxic to a variety of wildlife at high concentrations. The effects are less clear in cases of continual exposure at low levels  like those documented in nature by Granek and Nagoda  because little research has been done in this area. Studies involving the use of caffeine on plants have shown that, initially, cell growth rates are stable but soon the caffeine begins to kill or distort these cells, resulting in a dead or stunted plant.

Explanation:

that's what I put for plato

Match the letters to the numbers. Please answer below cannot open any links. This is for an exam and i need help. Thank you and please !!!

Answers

Answer:

1. B. Erie Canal.

2. K. Second Great Awakening.

3. I. Temperance.

4. A. Abolitionism.

5. J. Fredrick Douglass.

6. G. William Lloyd Garrison.

7. C. Grimke Sisters.

8. E. Nat Turner's Rebellion.

9. H. Horace Mann.

10. D. Elizabeth Cady Stanton.

11. F. Seneca Falls Convention.

-RANKA
Write the meaning in
अनन्तरम्
English
later on

भूषाम्नि
अंद
पिक:
भवन​

Answers

Answer:

nice.....

Explanation:

okk......nice

solutions for your homework
Search
math / statistic and probability / statistics and probability questions and answers / Nike Developed A New Type Of Snea...
Question: Nike Developed A New Type Of Sneaker Designed To Help...
Nike developed a new type of sneaker designed to help delay the onset of arthritis in the knee. Eighty
people with early signs of arthritis volunteered for the study. One-half of the volunteers wore the
experimental sneaker and the other half wore regular Nike sneakers that looked exactly like the experimental
hsneakers. The individuals wore the sneakers every day. At the conclusion of the study, their symptoms were
evaluated and an MRI was performed on their knees.
1. Identify the experimental units in this experiment
2. How many treatments are used in this experiment?
3. Identify a potential problem with the experimental design being used and suggest a way to improve it.
4. Explain what is meant by a placebo-controlled, double-blind study.
5. Of the 80 volunteers, suppose 40 are men and 40 are women. How could blocking be used in
designing this experiment

Answers

Answer and Explanation:

1. The experimental units are the 80 people used in the experiment. This is because an experimental unit is the smallest element of an experiment where the treatment is applied. In this case, the smallest element of the experiment subjected to the experimental treatments is the people who are participating.

2. Two treatments are used in this experiment. Experimental treatment is what you want to measure and test through the experiment. In this case, the experiment wants to test the difference between ordinary Nike shoes and Nike shoes manufactured to reduce arthritis cases, that is, there are two shoes tested, therefore, there are two treatments.

3. A potential problem presented in the project is the lack of homogeneity of the experimental units. This is because, although all the people who are participating in the experiment show first signs of knee arthritis, the researcher did not define the age, gender, height and weight that the volunteers should have to participate in the experiment. This can promote inaccurate data as these elements are also important in the onset of arthritis. To improve this problem, the researcher should have selected people of the same age, height, weight and gender.

4. A placebo-controlled, double-blind study is a study that seeks to discover the effects of an element on a person's body. In the case shown above, the element is Nike shoes that slow the progression of knee arthritis. In the case of the placebo-controlled, double-blind study, the individuals who will test the studied element will be divided into two groups. One of the groups will receive the element capable of causing changes in the body (in this case Nike shoes that delay arthritis), while the other group will receive a placebo, which is an element exactly the same as the element that promotes modifications, but has no function. . This type of study is called double-blind, because neither the researcher nor the volunteers know which group they are in. In this way, the experiment is able to present real results data, because neither the participants will be psychologically led to think that they are feeling the modifications of the tested element, nor will the researcher be led to believe that these changes actually occurred.

5. The blocking can divide 20 men and 20 women for each group. This is because the experimental block limits the randomness in the formation of experimental groups when this randomization is very difficult to achieve. Thus, when using the blocking , the researcher configures the randomness of the groups, which will facilitate the analysis of results and prevent all women from forming a group and all men from forming another group, as well as preventing groups from being formed with different amounts between men and women.

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