Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4. If the company has only one position to fill and prefers to fill it with the applicant who performed best on the aptitude test, which of the applicants should be offered the job?

Answers

Answer 1

Answer:

Norma performed best on the aptitude test and should be offered the job.

Step-by-step explanation:

We are given that three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below. Tobias got a score of 74.7; this version has a mean of 61.7 and a standard deviation of 13. Norma got a score of 351; this version has a mean of 291 and a standard deviation of 25. Vincent got a score of 7.38; this version has a mean of 6.9 and a standard deviation of 0.4.

Now, to find which of the applicants should be offered the job, we have to find the z-score of each of the applicants, and the one who gets the highest z-score will get the job.

The z-score probability distribution for the normal distribution is given by;

                            Z = [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = mean and [tex]\sigma[/tex] = standard deviation

Firstly, we will find the z-score for Tobias;

The z-score of 74.7 = [tex]\frac{X-\mu}{\sigma}[/tex]

                                 = [tex]\frac{74.7-61.7}{13}[/tex] = 1

Now, we will find the z-score for Norma;

The z-score of 351 = [tex]\frac{X-\mu}{\sigma}[/tex]

                               = [tex]\frac{351-291}{25}[/tex] = 2.4

Now, we will find the z-score for Vincent;

The z-score of 7.38 = [tex]\frac{X-\mu}{\sigma}[/tex]

                                 = [tex]\frac{7.38-6.9}{0.4}[/tex] = 1.2      

As we can clearly see that the z-score is highest for Norma which means that Norma performed best on the aptitude test and should be offered the job.


Related Questions

Write the slope-intercept form of the equation of the line through the given point with the given slope. Through: (4, -3) , slope=-5/4

Answers

Step-by-step explanation:

Since the line passes through (4,-3) and we already know the slope we will need to find [tex]b[/tex]. To do that plug in [tex]-3 = \frac{-5}{4} (4)+b[/tex]  and solve for b.

once you find the value of b write the equation [tex]y = \frac{-5}{4} x+b[/tex].

write the phrase as an expression.

5 less than 8

Ab expression is :​

Answers

8 - 5 that’s the answer jfosjfksjdjsjdjs

Use polynomial long division to divide 2x2 + 3x −1 by x + 4. What are the quotient and remainder?
I need answer soon plz hurry

Answers

Step-by-step explanation:

2x - 5

x+4 / 2x^2 + 3x - 1

- 2x^2 + 8x

0 -5x - 1

- -5x - 20

0 19

Quotient = 2x - 5 + 19/x+4

Remainder = 19/x+4

Is (5x+6)/2=3-(4x+12) equivalent to 5/2x+3=3-(4x+12) ?

Answers

Answer:

-24/13, yes

Step-by-step explanation:

What are two different ways to write 3/8

Answers

Answer:

6/16 and 12/32

Step-by-step explanation:

Which statement is true? Select three options.

A. Volume is the amount of space inside an object

B. Surface area and volume are measured in cubic units.

C. Surface area is the sum of the areas of the faces of an object.

D. Surface area and volume are measurements of three-dimensional objects.

E. The volume of a pyramid is the product of the area of the base and height.

Answers

Answer:

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

Step-by-step explanation:

Got it right on edge unit test

The true statements are:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

What is volume?

Volume is defined as the space occupied by any object in the three dimensions. All three parameters are required for the volume like length, width, and height of the cube.

The correct statements can be written below:-

A-Volume is the amount of space inside an object.

C-Surface area is the sum of the areas of the faces of an object.

D-Surface area and volume are measurements of three-dimensional objects.

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(3x³-2x²-7x+6)÷(x+1)

Answers

Evaluate- (x - 1) (3x² + x - 6)

______________

x + 1

Expand- 3x³- 2x² - 7x + 6

_____________

x + 1

Factor- (x -1) (x - ✔73 -1 ) (x - ✔73 - 1)

_____ ______

6 6

_________________________

x + 1

Consider the following argument. Sandra knows Java and Sandra knows C++. ∴ Sandra knows C++. Let p = "Sandra knows Java" and q = "Sandra knows C++." Is the argument valid or invalid? Select the answer that shows the symbolic form of the argument and justifies your conclusion.

a. form: p ∨ q valid, specialization
b. p form: p ∧ q valid, specialization
c. q form: p ∨ q invalid, inverse error
d. ~q form: q ∨ p invalid, converse error
e. ~p form: q ∧ p invalid, converse error

Answers

Answer:

b. Form: p ^ q valid, specialization

Step-by-step explanation:

From the question, we understand that:

p = "Sandra knows C++"

q = "Sandra knows Java"

The relationship between p and q in the question is and.

This implies

p and q

p and q can be represented as:

p ^ q

i.e. p ^ q is valid

The above represents the premise.

Premise: p ^ q

From the list of given options, option B answers the question

What is a similarity between a term life insurance policy and a whole life insurance policy?

A.
Both provide coverage for the policyholder’s medical and outpatient surgery costs.
B.
Both can be held by the policyholder for a minimum of 5 years and a maximum of 25 years.
C.
Both include a cash value component that the policyholder can receive at the end of the policy’s term.
D.
Both provide financial compensation to the beneficiaries upon the policyholder’s death.

Answers

Answer:

D. Both provide financial compensation to the beneficiaries upon the policyholder’s death.

Step-by-step explanation:

The required answer is, D. Both provide financial compensation to the beneficiaries upon the policyholder’s death.

What is life insurance policy?

Life insurance is a contract between an insurance policy holder and an insurer or assurer, where the insurer promises to pay a designated beneficiary a sum of money upon the death of an insured person. Depending on the contract, other events such as terminal illness or critical illness can also trigger payment.

here, we have to state,

The similarity between a term life insurance policy and a whole life insurance policy.

Now, we know from the above,

That here the required answer is,

D. Both provide financial compensation to the beneficiaries upon the policyholder’s death.

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Lia has a red ribbon that is 2 1/2 inches long. She has a blue ribbon that is 4 times as many inches long. How long is the blue ribbon?

Answers

Answer:

42

Step-by-step explanation:

2x-4x+3=0 quadratic equation in appropriate ​

Answers

2x-4x+3=0
6x square = 0-3
6x square =-3
X square =-3% 6
=-0.5

Please Help The question is down below.

Answers

Answer:

C. 5

Step-by-step explanation:

Becuase the left figure is just a scaled down size of the right one, 3 x 2 = 6 so 10 ÷ 2 = 5

WooHoo! Pls Brainliest! It would mean a lot! ;)


Find the missing numbers in the ratio table
Undo
- Redo
1
6
10
5
20

Answers

Answer:

difficult bro answer is 18

Solve the inequality:
5m + 2m + 2) > 8
A. m > 2
B. m > -2
C. m < 2
D. m < -2

Answers

Answer:

its A

Step-by-step explanation:

Because m > 6/7. and if you do the sloving it will be 2 or greater

Hope that helped

follow if you need more help

Many points pls hurry (5th-grade regular math) What are the coordinates of the image D'E'F'G' after a rotation of 180 degrees? The coordinates of the pre-image DEFG is D(2,0) E(2,2) F(5,2) G(5,1)

D' ( , )
E':( , )
F':( , )
G': ( , )

Answers

Answer:

D(-2,0) E(-2,2) F(-5,2) G(-5,1)

Step-by-step explanation:

i believe that's correct

Answer:

D(-2,0) E(-2,2) F(-5,2) G(-5,1)

Step-by-step explanation:

Those are the answers hope it helped bye <33

a. 6.671 × 100 = ____________

Answers

667.1

Hope this helps

Answer:

667.1

Step-by-step explanation:

You were asking for 6.671 x 100 Right?

There's 3 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

Rewrite the product with 3 total decimal places.

Answer = 667.100

Therefore:

6.671 × 100 = 667.100

A florist has 54 red roses and 36 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many red roses are in each bouquet?

ANSWER NOW!!!

Answers

There would be 3 red roses and 2 white roses

Write the number in scientific notation.
1,470,000

Answers

Answer:

The answer will be 1.47×10/5

Step-by-step explanation:

the 5 is supposed to be by the ten like up

Answer:

1.469999x10^6

Step-by-step explanation:

How many solutions are there to the equation below?
8(x-3) = 8x - 24
A. Infinitely many solutions
B. No solution
C. One solution

Answers

Answer: The answer is A. Infinite solutions

Complete the synthetic division problem below.
-1/2 7 5
What is the quotient in polynomial form?
A. X-5
B. 2x-5
C. 2x + 5
D. X + 5

Answers

)))C is the answer (((

The quotient of the synthetic division problem -1 | 2 7 5 in polynomial form is 2x + 5

How to determine the quotient?

The synthetic division problem is given as:

-1 | 2 7 5

Remove the number before the | sign

2 7 5

Remove the middle number

2 5

Introduce a variable starting from an exponent of 0 (let the variable be x)

2x¹ 5x⁰

Evaluate the exponents

2x 5

Express as sum

2x + 5

Hence, the quotient of -1 | 2 7 5 in polynomial form is 2x + 5

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Consider the following equation.
3x + 5 = - 3y + 5
Step 1 of 2: Find the x-and y-intercepts, if possible.
Answer 2 Points
Keypad
Keyboard Shortcuts
Selecting a button will replace the entered answer value(s) with the button value. If the button is not selected, the
entered answer is used.
<
>
Prev
Next
x-intercept:
absent
y-intercept:
absent

Answers

9514 1404 393

Answer:

x-intercept: 0y-intercept: 0

Step-by-step explanation:

Given:

  3x + 5 = - 3y + 5

Find:

  the x- and y-intercepts

Solution:

The x-intercept can be found by solving for x when y=0.

  3x +5 = 0 +5

  3x = 0

  x = 0 . . . the x-intercept

__

The y-intercept can be found by solving for y when x=0.

  0 +5 = -3y +5

  0 = -3y

  0 = y . . . the y-intercept

Both intercepts are (0, 0).

Oranges cost 21 cents each.
Alex buys x oranges and Bobbie buys (x+2) oranges.
The total cost of these oranges is $4.20.

Answers

Step-by-step explanation:

x be the number of oranges

x + (x+2) = $4.20

2x + 2 = 4.20

2x = 2.20

x = 1.1

if you wanna check,

1.1 + (1.1 + 2) =$4.20

1.1 + 3.1 =$4.20

4.2 =$4.20

Alex = x = 1.1 oranges

Bobbie = (x+2) = 1.1 + 2 = 3.1 oranges

I'm not sure of the answer tho^^

What can you do to avoid needing to use a payday loan lender?

Answers

Answer:

1. Assess your situation. Most of the time, if you're in a hurry to get a loan, you're not going to get a good deal. ...

2. Talk to banks and credit unions. They often offer short-term loans at a competitive rate. ...

3. Talk to your boss. ...

4. Look for apps. ...

5. Save now. ...

6. Talk to your creditors. ...

7. Check with your church. ...

8. Use a credit card cash advance.

Answer:

The first step you can take to avoid using payday loans is to analyze your budget and see where you can make cuts on your overall spending. For example, you can prepare more home-cooked meals instead of eating out in order to save on your food expenses.

HOPE THIS HELP :)

A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. How many flavors have chocolate?
explain too plz

Answers

40 x 0.25(25%) = 10, there are 10 chocolate muffins

Identify the properties of the given quadratic.

y = −3x2 + 6x + 17

a:

b:

c:

Answers

Answer:

A:-3 B:6 C:17

Step-by-step explanation:

Answer:

contains all of the answers on the page


EDGE 2022

what is bigger a decimal or a whole number>>

Answers

Answer:

Whole number

Step-by-step explanation:

0.75 is only 3/4 of 1

Answer:

Depends.

Step-by-step explanation:

Which equation represents the relationship of the
measure of m X and mZY?
O m2X = m_Y
O mzx + m_Y = 90°
0 m2X + m2Y = 100°
O m2X + m_Y = 180°

Answers

m2X + m2Y = 180° is the answer to your question or answer number 4.

The correct statements are,

⇒ m ∠x + m ∠y = 180°

What is mean by Angle?

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Angles are shown in figure.

Now, By definition of supplementary angle, we get;

⇒ m ∠x + m ∠y = 180°

Thus, The correct statements are,

⇒ m ∠x + m ∠y = 180°

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Mark is also making candy bags for his 5 friends. He has 15 pieces of candy and wants to buy more candy so that he has enough for each of his friends to receive 20 pieces of candy.how much candy ,c, must mark buy

Answers

Answer:

85 more candies

Step-by-step explanation:

15/5=3 (3 candies for each friend)

20-3=17 more candies for each friend

17 x 5 = 85 more candies Mark needs to buy in order to give each of his 5 friends 20 pieces of candy.

There is a picture that you need to answer

Answers

Answer:

1

Step-by-step explanation: PEMDAS

1. 3 divided by 1/3 = 9

2. 9-9= 0

3. 0+1= 1

hope this helps! :-)

Answer:

1

Step-by-step explanation:

3 divided by 1/3= 9

9+1=10

10-9=1

Caroline wants to buy a pair of shoes that has an original price of $80.00. She has a coupon for a 40% discount off of the original price. Her state charges an 8% sales tax on the discounted price. What is the final cost for Carolines shoes?​

Answers

Answer:

$34.56

Step-by-step explanation:

Let's start by findig the discount price.

40% off? Nice. 40% of 80 is 32 so the discount price would be $32.00.

Then there is the sales tax. 8% on the discounted price. So 108% of 32 is the total answer.

If you do it correctly, the price would be $34.56.

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