What is the probability of obtaining a z-score greater than one SD above the mean?
z ≥ 1

Answers

Answer 1

The correct answer is The probability of obtaining a z-score greater than one standard deviation (SD) above the mean can be calculated using the standard normal distribution table or a statistical software.

Assuming a normal distribution, the probability of obtaining a z-score greater than or equal to 1 is approximately 0.1587, which means there is a 15.87% chance of obtaining a z-score greater than one SD above the mean. This can be explained by the properties of a normal distribution, where 68% of the data falls within one standard deviation of the mean, and the remaining 32% is distributed in the tails of the distribution. Half of this 32% (16%) is located in the upper tail of the distribution, which corresponds to z-scores greater than one SD above the mean. Therefore, the probability of obtaining a z-score greater than one SD above the mean is 0.1587 or approximately 15.87%.

To learn more about standard deviation  click on the link below:

brainly.com/question/15040200

#SPJ1


Related Questions

Which of these is an image of a unicellular organism?

Answers

Answer:

Amoeba

Explanation:

One cell

Three cards are drawn from a standard deck of cards and not replaced.

What is the probability that the first card is a King and the last two cards are Queens? Write your answer as a simplified fraction.

Are the events independent? Explain.

Answers

The probability that the first card is a King and the last two cards are Queens when three cards are drawn from a standard deck without replacement is 1/5525, and the events are not independent.

What is a deck of cards?
A deck of cards is a collection of 52 rectangular-shaped cards, usually made of paper or plastic, that are used to play various card games. The deck is divided into four suits (clubs, diamonds, hearts, and spades), with each suit containing 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, and King). In some card games, such as poker, the Ace can be used as a high or low card, depending on the rules of the game. The deck of cards also includes two Jokers, which are often used as wild cards in certain games.


The probability of drawing a King on the first card is 4/52 (since there are 4 Kings in a deck of 52 cards).

After the first King is drawn, there are 51 cards remaining, of which 4 are Queens. So the probability of drawing a Queen on the second card is 4/51.

After the second Queen is drawn, there are 50 cards remaining, of which 3 are Queens. So the probability of drawing a Queen on the third card is 3/50.

To find the probability of all three events happening together, we multiply the probabilities of each event:

(4/52) * (4/51) * (3/50) = 1/5525

Therefore, the probability that the first card is a King and the last two cards are Queens is 1/5525.

The events of drawing the King and the Queens are not independent because the probability of drawing the Queens depends on whether or not a King was drawn first. If a King was drawn first, then there are fewer cards left in the deck, which changes the probability of drawing a Queen on the second and third cards.

To know more about probability visit:
https://brainly.com/question/12629667
#SPJ1

38. The writer wants to complete the sentence with
another example of tragicomedies' unusual
structure. Which choice would best accomplish
this goal?
(A) NO CHANGE
(B) and goes back to everyday routines.
(C) and even cruel characters become reformed.
with especially the lead characters surviving.

Answers

The writer wants to complete the sentence with another example of tragicomedies' unusual structure. The choice that would best accomplish

this goal is Option C.

What is the explanation for the above response?

"and even cruel characters become reformed. with especially the lead characters surviving, would best accomplish the writer's goal of providing another example of tragicomedies' unusual structure.

This option highlights the fact that even the most villainous characters can find redemption in Shakespeare's problem plays, and it emphasizes the happy endings that are unexpected in tragedies.

Tragicomedies are plays that blend elements of both tragedy and comedy, often featuring suspenseful and morally ambiguous plotlines that ultimately end on a positive note.

Learn more about tragicomedies at:

https://brainly.com/question/441364

#SPJ1

Dash (indicates break in text) meaning noun

Answers

The noun "dash" has multiple meanings, depending on the context.

What are the contexts?

A punctuation mark (-) used to separate phrases or clauses within a sentence or to indicate a pause or break in thought.

Example: She ran - fast - toward the finish line.

A sudden and quick movement or action.

Example: He made a dash for the door.

A small amount of a liquid or ingredient used in cooking.

Example: Add a dash of salt to the soup.

A short sprint or race, usually over a short distance.

Example: The athletes ran a 100-meter dash.

A horizontal line or stroke used for decorative or ornamental purposes.

Example: The vase was decorated with dashes of gold paint.

A signal, usually a radio signal, used to transmit information over a long distance.

Example: The pilot received a dash from the control tower

Learn more about nouns on:

https://brainly.com/question/3120443

#SPJ1

Which of the following situations will include the origin when graphed?

Hayley runs at a pace of 1 mile every 8 minutes.
Gas costs $3.50 per gallon.
It is 68° at 7 a.m., and the temperature increases 5° every hour.
Phone service costs $5.00, and an additional 5 cents for each minute.

Answers

The situation that will include the origin when graphed is phone service costs $5.00, and an additional 5 cents for each minute.

When we graph this situation, the x-axis represents the number of minutes used, and the y-axis represents the total cost. At zero minutes, the total cost is $5.00, which is the origin. As the number of minutes used increases, the total cost will increase as well, resulting in a line with a positive slope.

1- Toni Morrison is one of America's outstanding [Q1] authors, she is known for her critical essays, her novels, and her frequent appearances on television. (A) No change (B) authors; she is known (C) authors famous (D) authors since known​

Answers

Answer:

B

Explanation:

Option B is correct: Toni Morrison is one of America's outstanding authors; she is known for her critical essays, her novels, and her frequent appearances on television.

Molly is wrapping up parts of sandwich’s to sell at her sandwich cart.she cuts each sandwich in fourths and then wraps each fourth separately.she says that she wrapped 16 fourths,so she wrapped 16 whole sandwich’s. What was mollys mistake?

Answers

Molly's mistake is that she actually wrapped 4 whole sandwiches, not 16.

Since she cuts each sandwich into fourths, each whole sandwich produces four fourths. Therefore, if she wrapped 16 fourths, she must have cut up and wrapped 16/4 = 4 whole sandwiches.

It seems like Molly made the mistake of assuming that the number of fourths wrapped was equivalent to the number of whole sandwiches wrapped. However, this is only true if she were wrapping the entire sandwich and not just the fourths.

in a right triangle , the leg lengths are 4 in and 4.5 in. what is the length of the hypotenuse?

Answers

Answer: [tex]c = \frac{\sqrt{145} }{2}[/tex]

Explanation:

The formula for the hypothenuse is  [tex]c^{2} = a^{2} +b^{2}[/tex]

In this case a = 4in and b = 4.5in

therefore  [tex]c =\sqrt{(4.5in)^{2} +(4in)^{2} }[/tex]

A college has an undergraduate enrollment of 3500 students of those 860 business majors and 1800 are women of the business majors 425 are women 

Answers

Answer:

0.639

Explanation:

0.639 is the correct answer for the question

Dottie Kleman is the ""Cookie Lady."" She bakes and sells cookies at 50 different locations in the Philadelphia area. Ms. Kleman is concerned about absenteeism among her workers. The information below reports the number of days absent for a sample of 10 workers during the last two-week pay period. 4 1 2 2 1 2 2 1 0 3 1. Determine the mean and the standard deviation of the sample. 2. Develop a 95 percent confidence interval for the population mean. 3. Is it reasonable to conclude that the typical worker does not miss any days during a pay period?

Answers

Note that where the above statistics exits, the mean is 1.64the standard deviation of the sample is 1.055The 95% confidence interval is 0.963 to 2.317.

What is the explanation for the above response?

The mean of the sample is:

(4 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 0 + 3 + 1) / 11 = 1.64

To find the standard deviation of the sample, we first need to calculate the variance:

((4 - 1.64)² + (1 - 1.64)² + (2 - 1.64)² + (2 - 1.64)² + (1 - 1.64)^² + (2 - 1.64)² + (2 - 1.64)² + (1 - 1.64)² + (0 - 1.64)² + (3 - 1.64)² + (1 - 1.64)²) / 10

= 1.1144

So the standard deviation of the sample is the square root of the variance:

√(1.1144) = 1.055

To develop a 95 percent confidence interval for the population mean, we first need to calculate the standard error of the mean:

1.055 / √(11) = 0.318

Then, we can use the t-distribution with 10 degrees of freedom (n-1) and a 95% confidence level to find the margin of error:

t(0.025, 10) * 0.318 = 0.677

The 95% confidence interval is then:

1.64 - 0.677 to 1.64 + 0.677

or

0.963 to 2.317

It is not reasonable to conclude that the typical worker does not miss any days during a pay period, as the sample mean is 1.64, indicating that on average, workers miss almost 2 days per pay period. However, the confidence interval does include the possibility of 0 days absent, so we cannot rule out the possibility entirely.

Learn more about standard deviation at:

https://brainly.com/question/29088233

#SPJ1

WOne difference between prokaryotic cells and eukaryotic cells is that a eukaryotic cell contains
, while a prokaryotic cell does not.

Answers

Answer:

Mitochondrion

Explanation:

A eukaryotic cell has mitochondrion whilst a prokaryote does not.

Name and explain two factors that contribute to a detrimental relationship

Answers

Poor Communication and Lack of Trust are two factors that contribute to a detrimental relationship.

How Poor Communication and Lack of Trust is detrimental to relationship

Poor communication between a manager and employee can lead to a detrimental relationship. If the manager does not properly explain tasks and expectations, the employee may not be able to perform to the level expected. Additionally, if the manager does not provide timely feedback or constructive criticism, the employee may feel like their efforts are not appreciated and may become disengaged.

If a manager does not trust an employee to complete tasks or take initiative, it can create a toxic environment and lead to a detrimental relationship. Additionally, if the manager does not trust the employee’s judgement, they may micromanage or become overly controlling, which can be demoralizing and lead to a breakdown in communication.

Learn more about relationship here:

https://brainly.com/question/10286547

#SPJ1

the impact that ongoing changes in parent or guardian relationships of the grade 11 could have on their ability to achieve academic goals​

Answers

Answer:

Any impact that is applied on the ongoing changes in the parental or guardian relationships of Grade 11 or any students in general could have alot of mental strain and depression on the child's mind. It can alter him to find other ways to get out of the situation and would distract him from his studies and hence would weaken his ability to achieve his academic goals.

Other Questions
What do you think about the statement, "the greatest burdens we carry are the thoughts in our head"? the nurse administers a tap water enema to a client. while the solution is being infused, the client has abdominal cramping. what should the nurse do first? Trisha is running a marathon race. She runs the race at a steady pace. She makes a graph to show how far from the finish line she will be as she runs the race. How many pounds are in 25 tons the population of crayfish on the left represents a population that is q1203 click to view larger image. select one: a. drastically reduced in size by a natural disaster. b. reproductively isolated from all other populations. c. maintaining the same color frequencies over time. d. changing its allele frequencies due to the founder effect. Determining word Meaning Using Contest Chees-Level FolWhat is the meaning of the word indigenous in thisparagraph?The young explorers searched for plants oranimals that were indigenous to the newlydiscovered island. They wanted to findexamples of life found only on that island,and nowhere else in the world. The urbanstreets where they lived were borren ofony plants or animals that were completelynative to the land. The explorers wouldlose their chance at fame if they came backhome from their expedition with nothingbut species foreign to the island.originating in a specific region orcountryoriginating in another region orcountrycentered around the inner citycentered around the countryside PLEASE HELP ILL GIVE POINTS AND BRAINLIEST WHAT IS A VIGNETTE? A vignette is a short scene that captures a singlemoment or a defining detail about a character, idea, orother element of a story.The book we are reading, The House on Mango Street,is a series of vignettes.In this assignment, you will read the definition andsome examples of vignettes, learn when and how to writea vignette, take a short quiz, and then write avignette of your own.1. Go to the site https://literaryterms.net/vignette/2.Read the material on all three tabs: Definitions and Examples, When and How to Write a Vignette, and take the Quiz.3.Then, in the space below, write your own vignette on any subject. This can be fictional or true: Baldwin received some gift cards for music and movie downloads for his birthday. Using one of them, he downloaded 12 songs and 19 movies, which cost a total of $195. Using another, he purchased 14 songs and 12 movies, which cost a total of $136. How much does each download cost? Which best describes par value for stock?A) An arbitrary amount set by the company for each share of stockB) The value at which stock shares were issuedC) The current market value of the stockD) The amount expected to be paid out as a dividend on a share of stock private solutions to correct for externalities consider the following scenario: suppose that a chicken farm uses a nearby stream to dispose of the wastes released by its chickens. these wastes flow downstream into a lake that has become thick with algae and polluted by the minerals in the waste matter. the local office of a nonprofit environmental organization collects enough donations to fund a campaign to stop the farm's pollution. which of the following private solutions resolving the externality of pollution took place in this scenario? moral codes and social sanctions integration of different types of businesses through merger or acquisition contracts charities keep in mind that sometimes private solutions to externalities are not achieved. for instance, this could occur when an excessive amount of time or money must be spent for parties to reach an agreement. this describes the problem of . the fact that c does not allow array types to be the return valuc of a function indicates a lack of. language. a. generality b. uniformity in the c. orthogonality d. efficiency 14 mL110 lb x (1 kg/2.2 lb) = 50 kg50 kg x 0.55 mg = 27.5 mg27.5 mg x(5 mL/10 mg) = 14 mLA nurse is preparing to administer chlorpromazine 0.55 mg/kg PO to an adolescent who weighs 110 lb. Available is chlorpromazine syrup 10 mg/5 mL. How many mL should the nurse administer? Two families go to a movie on Saturday night. The Jefferson family purchases 2 adult tickets and 2 youth tickets for $42. 50. The Mendoza family purchases 4 adult tickets and 3 youth tickets for 76. 25 dollars How do I solve: [tex](\frac{1}{216})^{3v-1} =(\frac{1}{6})^{2v-2}[/tex](Please work it out step-by-step, if you can) Hannah writes to her brother John who has emigrated from Ireland to Philadelphia. ISFind the components to write thisvector in unit vector notation:BR12.045.0B = [? ]+ [? ] What is the missing width of the object below, if the volume is 352 cubic meters? 8 and 11 m solve for x using pythagorean theorem. The Louvre Pyramid serves as a entrance to the Louvre Museum in Paris. The base of the pyramid is 35 meters long and the aides are 32 meters long. Classify the triangle on the front of the Louvre Pyramid by the length of its sides and the measure of its angles. Surrealist authors and artists were mainly influenced by?