Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2 hours. Let X be the random variable representing the time it takes her to complete one review. Assume X is normally distributed. Let X be the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

Find the probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs.

a. Give the probability statement and the probability. (Enter exact numbers as integers, fractions, or decimals for the probability statement. Round the probability to four decimal places.

Answers

Answer 1

The probability that the mean of a month's reviews will take Yoonie from 3.5 to 4.25 hrs is 0.7499.

What is the probability?

We first get the z score for the two values. As z = (x - u) sqrt(n) / s, then as

x1 = lower bound = 3.5

x2 = upper bound = 4.25

u = mean = 4

n = sample size = 16

s = standard deviation = 1.2

Thus, the two z scores are

z1 = lower z score = (x1 - u) * sqrt(n) / s = -1.666666667

z2 = upper z score = (x2 - u) * sqrt(n) / s = 0.833333333

Using table/technology, the left-tailed areas between these z scores is

P(z < z1) = 0.047790352

P(z < z2) = 0.797671619

Thus, the area between them, by subtracting these areas, is

P(3.5<xbar<4.2) = 0.749881267

The probability is 0.7499.

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Yoonie Is A Personnel Manager In A Large Corporation. Each Month She Must Review 16 Of The Employees.

Related Questions

Need help with this psychology c

Answers

Answer:

Explanation:

For easy help and understanding of psychology, c refer to psychology b

Find the y-intercept and the slope of the line

9x+3y=6

Write your answers in simplest form.

Answers

Answer:

The slope is [tex]-3[/tex], and the y-intercept is [tex]2[/tex].

Explanation:

Step 1: Recognize the slope-intercept form

The slope-intercept form of an equation is:

[tex]y=mx+b[/tex]

Where [tex]m[/tex] represents the slope, and [tex]b[/tex] represents the y-intercept.

Step 2: Arrange the equation into the slope-intercept form

The equation is given as:

[tex]9x+3y=6[/tex]
First of all, let's make [tex]3y[/tex] the subject:

[tex]9x+3y=6\\\\\text{Subtract 9x from both sides:}\\9x+3y-9x=6-9x\\\\\text{Simplify:}\\3y=-9x+6[/tex]

Now, let's make [tex]y[/tex] the subject:

[tex]3y=-9x+6\\\\\text{Divide by 3 on both sides of the equation:}\\\frac{3y}{3}=\frac{-9x}{3}+\frac{6}{3}\\\\\text{Simplify}:\\y=-3x+2[/tex]

Step 3: Identify the slope and y-intercept

The slope-intercept form of the equation is:

[tex]y=-3x+2[/tex]

And the slope-intercept form is:

[tex]y=mx+b[/tex]

So, [tex]m=-3[/tex] and [tex]b=2[/tex].

This means that the slope is [tex]-3[/tex], and the y-intercept is [tex]2[/tex].

What did the founders mean when they wrote "to form a more perfect Union"?

A military would be formed to protect against foreign threats

A court system would be formed to resolved disputes between citizens

A process will be created to solve disputes between states

A Bill of Rights would be created to protect citizens' liberties

Answers

Answer:

C. A process will be created to solve disputes between states

Explanation:

The key word here is "more." The founders knew the Constitution wasn't perfect and neither was the country. They planned for arguments among the states by making a document that was flexible. That way, the country could keep moving closer to perfection

Hope this helps! :))
And this is not SAT, this is social studies. Please put social studies next time.

Why is it important to prepare for the ACCUPLACER test?
What are some of the skills and abilities the ACCUPLACER tests measure?
What are the potential consequences of your performance on the test?

Answers

1. Colleges utilize ACCUPLACER to determine if you're ready to take courses that will earn you credits at that school by assessing your ability levels in reading, writing, and math.

2 Some of the skills and abilities the ACCUPLACER tests measure are reading, writing, and math.

3. The potential consequences of your performance on the test is that it enables you fit into the right course.

What is ACCUPLACER about?

ACCUPLACER is a series of tests that assess students' reading, writing, and math capabilities in order to help college administrators place them in courses that fit their abilities.

The percentage of students correctly put using a single exam ranged from 58.4 to 66.5 percent (M = 63.0 percent), while the percentage of students correctly placed using a combination of tests ranged from 58.0 to 81.0 percent.

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Give an example of a cleaning schedule

Answers

Answer:

Explanation:

Wipe all surfaces – Daily

Empty the bin – Weekly

Clean the bath and shower – Weekly

Clean the toilet – twice a week

Mop the floor – Weekly

Change the towels – Weekly

Descale the shower head – Monthly

Declutter the bathroom cabinet – Annually

Clean the bathroom cabinet – seasonally

A cleaning schedule may include tasks such as:

-Wiping down countertops

-Sweeping and mopping floors

-Vacuuming carpets

-Dusting surfaces

-Cleaning bathrooms

-Washing windows

What do you mean by cleaning?

Cleaning is the process of eliminating unwanted objects including such dirt, infectious agents, as well as other contaminants from an object or environment. Cleaning is frequently done for aesthetic, sanitary, functional, environmental, or safety reasons. Cleaning occurs in a variety of circumstances and through a variety of approaches. Cleaning is one of several vocations. Cleaning removes germs and also dust and dirt resulting in better indoor air quality and a pleasant odour. The kitchen and bathroom, which are regarded to be the germiest areas of any home, frequently demand additional attention.

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DETERMINAR LA MEDIA Y DESVIACION ESTANDAR PARA LOS SIGUIENTES DATOS RELACIONADOS AL NACIMIENTO VIVOS

Answers

Answer: si

Explanation:

Si!

The distance between q and p is 6 1/2 and p is -4 what is q

Answers

Answer:

2 1/2 or -10 1/2

Explanation:

-4-6 1/2= -10 1/2

-4 + 6 1/2 = 2  1/2

how does critical thing effect decision making​

Answers

Critical thinking can help improve the quality of decisions by providing a more systematic and logical approach to decision-making. Additionally, critical thinking can help reduce the impact of biases and emotions on decision-making.

What do you mean by decision-making?

Decision-making is defined as the cognitive process that results in the selection of a belief or course of action from a set of alternative options. It might be rational or irrational. The decision-making process is a reasoning process based on the decision-values, maker's preferences, and beliefs.Every decision-making process ends with a final decision, which may or may not lead to action.

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If Kevin's monthly salary of $4,500 is 72 percent
of Paul's monthly salary, what is Paul's monthly
salary?

Answers

Paul's monthly salary is approximately $6,250.

How to calculate Paul's monthly salary

Using a proportion to find Paul's monthly salary.

Let x be Paul's monthly salary.

Then we can write:

4500 = 0.72x

Dividing both sides by 0.72:

x = 4500 ÷ 0.72

x ≈ 6250

Therefore, Paul's monthly salary is approximately $6,250.

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