A population has a mean of 84 and a standard deviation of 12. A sample of 36 observations will be taken. The probability that the sample mean will be between 80. 54 and 88. 9 is

0.00000046997

Explanation:

→ Set up normal distribution without sample size

x ∼ N ( 12 , 84² )

→ Set up normal distribution with sample size

→ State probability to find

p ( 80.54 < x < 88.9 )

→ Use calculator to find the values

Lower = 80.54, Upper = 88.9, σ = √84² ÷ 36 and μ = 12

The probability that the sample mean will be between 80.54 and 88.9 is 0.951

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The mean of the distribution of sample means is called M

- The standard deviation of the distribution of sample means is

 called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where μ is the mean of the population  

* Lets solve the problem

∵ The sample size n = 36

∵ The sample mean M is between 80.54 and 88.9

∵ The mean of population μ = 84

∵ The standard deviation σ = 12

- Lets find σM to find z-score  

∵ σM = σ/√n

∴ σM = 12/√36 = 12/6 = 2

- Lets find z-score

∵ z-score = (M - μ)/σM

∴ z-score = (80.54 - 84)/2 = -3.46/2 = -1.73

∴ z-score = (88.9 - 84)/2 = 4.9/2 = 2.45

- Use the normal distribution table to find the probability

∵ P(-1.73 < z < 2.45) = P(2.45) - P(-1.73)

∴ P(-1.73 < z < 2.45) = 0.99286 - 0.04182 = 0.95104

∴ P(-1.73 < z < 2.45) = 0.951

* The probability that the sample mean will be between 80.54 and 88.9

  is 0.951

The probability that the sample mean will be between 80.54 and 88.9 is 0.951

Step-by-step explanation:

* Lets revise some definition to solve the problem

- The mean of the distribution of sample means is called M

- The standard deviation of the distribution of sample means is

 called σM

- σM = σ/√n , where σ is the standard deviation and n is the sample size

- z-score = (M - μ)/σM, where μ is the mean of the population  

* Lets solve the problem

∵ The sample size n = 36

∵ The sample mean M is between 80.54 and 88.9

∵ The mean of population μ = 84

∵ The standard deviation σ = 12

- Lets find σM to find z-score  

∵ σM = σ/√n

∴ σM = 12/√36 = 12/6 = 2

- Lets find z-score

∵ z-score = (M - μ)/σM

∴ z-score = (80.54 - 84)/2 = -3.46/2 = -1.73

∴ z-score = (88.9 - 84)/2 = 4.9/2 = 2.45

- Use the normal distribution table to find the probability

∵ P(-1.73 < z < 2.45) = P(2.45) - P(-1.73)

∴ P(-1.73 < z < 2.45) = 0.99286 - 0.04182 = 0.95104

∴ P(-1.73 < z < 2.45) = 0.951

* The probability that the sample mean will be between 80.54 and 88.9

  is 0.951

Unlawful conduct, assault, and any law involving putting someone in danger of any controlled threat. I cant remember them all. Hope this helped if at all

B. use a familiar concept to communicate an idea

Explanation:

Basically, Passage 2 states the hypothesis that spotted green pigeon is a descendant of an island hopping bird and throughot the article, it provides evidence for this statement.

The discovery is that, since the DNA found in a green pigeon's feather was fragmented and they had to analyze only parts of it, the bird had an unique sets of DNA which distinguish it from other members of the pigeon species.

These analyzed parts of DNA are refered to as "mini barcodes".

Since target audience for this article might not be fully familiar with the concept and functions od DNA, researchers used a more familiar concept of barcodes as an analogy to communicate their idea and explain their discovery.

True.

Explanation:

The uncertainty of inventiveness and futuristic ideas usually deal with science and technology.

Inventibility is something uncertain which promotes a risk in any system in which it is inserted. With that, we can naturally associate it with the maintenance of science and technology, because both are in need of inventing new creations, which may or may not be effective for the defeat of uncertainties and the creation of certainties.

This is usually linked to futuristic ideas, which may not fit in today's society, but which impose improvements, or not, for societies in the future. Leading to the creation of more technologies and more sciences.

The answer is: teller, loan officer, and tax preparer

Teller act as a front liner on banks who deals directly with the customers. The main job of a teller is to assist the people in making their transaction in the bank.

The main duty of a loan officer is to finds potential clients who need capital injection and assists them in acquiring loans.

Tax prepares help their clients in examining their tax report in other to find out the items that can be used as tax returns.