Almost all companies utilize some type of year-end performance review for their employees. Human Resources (HR) at the University of Texas Health Science Center provides guidelines for supervisors rating their subordinates. For example, raters are advised to examine their ratings for a tendency to be either too lenient or too harsh. According to HR, "if you have this tendency, consider using a normal distribution—10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable." Suppose you are rating an employee’s performance on a scale of 1 (lowest) to 100 (highest). Also, assume the ratings follow a normal distribution with a mean of 50 and a standard deviation of 15.
a. What is the lowest rating you should give to an "exemplary" employee if you follow the University of Texas HR guidelines?
b. What is the lowest rating you should give to a "competent" employee if you follow the University of Texas HR guidelines?

Answers

Answer 1

Answer and Step-by-step explanation:

Solution:

Given:

µ = 50

∂ = 15

Lowest rating given to exemplary.

The top 10 %of the employees are related exemplary:

P(x > L) = 10 % =0.10

The average probability table in the appendix contains the only probability of the form.

P (0 < x< L ) = p ( x > 0 ) – P ( x > L )

                   = 0.5 -0.10

                    = 0.40

z- Score in the normal probability table in the appendix corresponding to a probability of 0.40 or the closest probability.

Z = 1.28

The standardized score is the value x decreased by the mean and then divided by the standard deviation.

Z = x - µ / σ

L = x = µ +z0

 = 50 + 1.28(15)

= 69.2

Lowest rating giving to competent:

The lower boundary of competent is boundary of bottom 30%

P(x < L ) = 30% = 0.30

The normal probability table contains only probability of the form p( 0≤z≤z0)

P( 0< x < -L) = P(L < x < 0)

                    = p(x < 0) – p(x < L)

                    =0.5 – 0.30

                     = 0.20

Z score in normal probability corresponding to the probability of 0.20

  -z = 0.52

Z= - 0.52

Value x decreased by the mean and  divide by standard deviation:

Z = x - µ / ∂

L = x = µ + zo

   = 50 – 0.52(15)

  = 42.2


Related Questions

A In this triangle, the product of tan A and tan Cis​

Answers

Answer:

1

Step-by-step explanation:

The value of product of expression tan A and tan C is​,

⇒ tan A × tan C = 1

Here, We have;

In triangle ABC;

⇒ ∠ A = 45°

⇒ ∠ B = 90°

⇒ ∠C = 45°

Hence, We get;

The value of product of tan A and tan C is​,

⇒ tan A × tan C =

⇒ tan 45° × tan 45°

⇒ 1 × 1

⇒ 1

Thus, The value of product of expression tan A and tan C is​,

⇒ tan A × tan C = 1

Learn more about the triangle visit;

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-6(а + 8)
Distributive Property

Answers

Answer:

-6a-48

Step-by-step explanation:

-6(a+8)

=(-6)(a + 8)

=(-6)(a) + (-6)(8)

=-6a-48

please help!!! !!!!!!!

Answers

Answer:

-2+6x

Step-by-step explanation:

Answer:

x= -7

Step-by-step explanation:

-2+5(6x-5)= -237

multiply to get rid of the parentheses

-2+30x-25= -237

simplify

30x-27= -237

add 27 to both sides

30x= -210

divide both sides by 30

x= -7

Hope this helps! (;

help asap please!! yea ​

Answers

Answer:

C

Step-by-step explanation:

h(x)=8(x+6)^2-9

6 units to the left and 9 units down

Mrs. Helms's class can be divided into equal groups of 5 students or groups of 6
students. Which of the following is a possible size of her class?

Answers

Answer:

30

Step-by-step explanation:

5 times 6 equals 30

A trucking company operates in three regions of the country. The table below depicts the probability that each
company truck is in the region and the fuel prices per gallon. What amount should the company budget on average
for a gallon of fuel across its operations? Round your answer to the nearest cent.

Answers

Question: A trucking company operates in three regions of the country. The table below depicts the probability that each  company truck is in the region and the fuel prices per gallon. What amount should the company budget on average  for a gallon of fuel across its operations? Round your answer to the nearest cent.

Answer:

A. $3.53

B. $3.55

C. $3.68

D. $3.70

The amount that the company should put on average for a gallon across the operations is $ 3.70. This option D is correct.

What does the trucking operations of the company?

The company of trucks runs operations in several countries as per the table each region has distinct scores of probability and as the company that is farthest from the market has more wages as compared to that is the nearest

The percentage is 100 and probability counts as compared to one. Thus 50% is 0.50. If assuming X is the cost of fuel then using the formula we get.

[tex]Mean = E (X) = f(xi) xi[/tex]

E(X) = 3.10 x 0.2 +3.5 x 0.3 +4.05 x 0.5 = 3.69 that is 3.70 dollars.

Find out more information about the company operates.

brainly.com/question/26676604.

The complete question is :

A trucking company operates in three regions of the country. The table below depicts the probability that each  company truck is in the region and the fuel prices per gallon. What amount should the company budget on average  for a gallon of fuel across its operations? Round your answer to the nearest cent.

A. $3.53

B. $3.55

C. $3.68

D. $3.70

Tank A has 35 gallons of water and is
filling up at a rate of 5 gallons per minute,
Tank B has 100 gallons of water and is
draining at a rate of 8 gallons per minute,
Solve the following system of equations,
In how many minutes will the tanks
contain the same amount of water, and
how much water will that be?
Sy = 35+ 5x
y = 100 - 8x

Answers

Answer:

35 + 5x= 100 -8x =

Step-by-step explanation:

35 +5x =100 -8 x

5x + 8x = 100 -35

13x = 65

x = 13/65

x =5

Sienna has a bag of 10 marbles. Five marbles are blue, four marbles are red, and 1 marble is yellow. Sienna draws two marbles from the bag without replacing the marble. What is the probability of drawing two blue marbles?

Answers

probability of drawing two blue marbles= 5/10

                                                                  = 1/2

Given parameters:

Number of marbles in the bag = 10 marbles

Number of blue marbles  = 5 marbles

Number of red marbles = 4 marbles

Number of yellow marbles  = 1 marble

Unknown:

The probability of drawing two blue marbles.

Probability is the likelihood of an event to occur. It is the number of possible outcomes divided by the sample space.

Probability values ranges from 0 to 1

                1 is a certainty that an event will occur.

                0 shows that the event will not occur.

The probability of drawing the first blue marble = [tex]\frac{5}{10}[/tex]

Probability of drawing the second marble without replacing the marble = [tex]\frac{4}{9}[/tex]

  Now,

 The probability of drawing two blue marbles without replacement is;

                 

                 =  [tex]\frac{5}{10}[/tex]  x [tex]\frac{4}{9}[/tex]

                 = [tex]\frac{2}{9}[/tex]

So the probability of picking two marbles without replacement is [tex]\frac{2}{9}[/tex]

48divided by 2(9+3)
ANSwer plz

Answers

Answer:

288

Step-by-step explanation:

9+3=12

48÷2=24

24x12=288

Plz help first person to get correct I’ll cash app or pay pal you 5$. Answer and add your cash app or PayPal.

Answers

c(x)=9+3.5 here you go

Answer:

c(x)=9+3.5

Step-by-step explanation:

Hope this helps

Cash app is $Lilibug17

Twice the sum of a number and nine is 24. Find the number.

Answers

Answer:

3

Step-by-step explanation:

2 (n + 9) = 24 this is the equation

to solve for n (number):

2(n+9)=24 // Distribute the 2 into parentheses

2n + 18 = 24 // Subtract 18 on both sides of equal sign

      - 18   -18

      2n = 6 // Divide by 2 on both sides of equal sign

        2     2

      n = 3

Hope this helps :)

????????????????????? ​

Answers

Answer: A C AND E

Step-by-step explanation:

A, D, E, F all have the same y-intercept (-8)

HURRY!!!
a
Undefined
b
Negative
c
Zero
d
Positive

Answers

Answer:

A, undefined

Step-by-step explanation:

The general rule is that vertical lines are undefined slope, because there's literally no change in x values. The vertical line test also fails, meaning there is no slope. Horizontal lines have a slope of 0, while vertical lines don't own any numbers that are important except for x-axis numbers.

If you do y2-y1 over x2-x1, you literally get 1/0 which is nothing. 0/1 = 0, but 1/0 is nothing.

Hope this helps!

Your answer would simply be a it’s kinda obvious undefined

The ray G is the angle bisector of FGH and m FGH = 35°. Enter m.FG). The measure of ZFGJ is

Answers

Answer:

If ray GJ is an angle bisector of ∠FGH, it cuts the ∠FGH into two equal angles making ∠FGJ = 25° and ∠HGJ=25° for a sum of 50°. ∠FGJ=25°

Form a polynomial whose real zeros and degree are given.
Zeros: – 4, 0, 6;
degree: 3

Answers

Answer:

?

Step-by-step explanation:

What’s the slope of 2,1 and -4,4

Answers

Answer:

Equation: y = -0.5x + 2.

Step-by-step explanation:

Question:
(-11x-11x-11)=?

Answers

Answer:

-22x-11

Step-by-step explanation:

Your welcome! :)

Evaluating expressions practice 3-8

Answers

Answer:

Please upload an image of your Brainly question

Given: f(x) = -2x + 10
Find: f(2)​

Answers

Answer: 4

Step-by-step explanation: Subtract 10 from each sides and divide both sides by -2

PLEASE HELP ME AS SOON AS POSSIBLE PLEASE

Answers

nevermind, I got the wrong answer. not sure how to delete my own answers :/

Answer:

Step-by-step explanation:

Pls halp meh. reeeeeeeeee

Answers

Answer:

x = 8, and y = 21

Step-by-step explanation:

You probably don't need this since this question was yesterday, but if you still need help:

I'm not the best at explaining but, Angles EOF and FOG are complementary, making 3y equal to 63. 63 divided by 3 is 21 making y = to 21. Angles AOE and GOB are also complementary adding them in the equation makes 9x + 18.

90 degrees minus 18 is 72, 72 divided by 9 is 8. Making 8 equal to x. 9x +18 ((9)8 + 18) is equal to 90 degrees.

Try to make something better again I'm not good at explaining.

Find the value of x when 6 - 2x = 6x - 10x + 18

Answers

i think x= 6. if not i’m sorry

Answer: x=6

Step-by-step explanation: in this equation you're trying to

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6-2*x-(6*x-10*x+18)=0

Pull out like factors :

  -12 + 2x  =   2 • (x - 6)

 x-6 = 0  

Add  6  to both sides of the equation :  

                     x = 6

A) Solve the Gompertz equation
dy dt = ryln(K/y)
subject to the initial condition y(0) = y0.
B) For the given data r = 0.73 per year, K = 80,300 kg, and y0 K = 0.25. Use the Gompertz model to find the predicted value of y(4).
C) For the same data as in part (b), use the Gompertz model to find the time τ at which y(τ) = 0.77K.

Answers

Answer:

a) [tex]y = Ke^{ln(\frac{y_0}{K})e^{-rt} }[/tex]

b) [tex]y(4) = 1,082.043 kg[/tex]

c) [tex]t = 2.286 years[/tex]

Step-by-step explanation:

Find the step by step solution to the question in the attachment.

A scale model of Philadelphia City Hall is 68.5 inches long. Using each of the scales above, how many feet tall is the building in real life? Show your work and explain your answer using each scale.

With a scale of 1in. to 8ft. Philadelphia City Hall is …. I know this because …
With a scale of ⅛ in. to 1 ft. Philadelphia City Hall is … I know this because …
With a scale of 1 to 96 Philadelphia City Hall is … I know this because …

Answers

Answer:68.5

Step-by-step explanation:

A market researcher, having collected data on breakfast cereal expenditures by families with one, two, three, four, or five children living at home, plans to use an ordinary regression model to estimate the mean expenditures at each of these five family size levels. However, the researcher is undecided between fitting a linear or a quadratic regression model, and the data do not give clear evidence in favor of one model or the other. A colleague suggests: "For your purposes, you might simply use an ANOVA model." Is this a useful suggestion? Explain.

Answers

Answer:

Yes it is a useful suggestion

Step-by-step explanation:

Using the ANOVA model is a good idea because using it would give allowance For us to compare the five means of the five different family sizes. By this, during investigation there would be no confusion as to if a quadratic or linear relationship exists between the variables family size and breakfast cereal expenditure.

We would be comparing the mean expenditure of food of these 5 different family size levels so anova is useful.

Answer and Step-by-step explanation:

ANOVA model is mathematical model describe relationship between response and treatment.

One way ANOVA is given by:

YIJ = µ + Ti +Єij

Where, yij represent jth observation on ith treatment.

In this question, researcher collected data on the breakfast expenditure of a family whose size is five.

Yes, we can use ANOVA model. ANOVA can be used even if there is quadratic nonlinear relationship between expenditure and family size.

Since, the family size is five; we have to compare their mean expenditure on food.

The ANOVA one way model is:

YIJ = µ + Ti +Єij

For i=1, 2,3,4,5 and j= 1, 2,3,4,5

With hypothesis,

H01 : µ1 are equal.

H11 : at least two i not equal to j.

Dan enlarged the size of a triangle to a
width of 42 in. What is the new height if
it was originally 3 in wide and 1 in tall?

Answers

Answer:

14 in.

Step-by-step explanation:

42/3 = 14

1 × 14 = 14

Height: 14 in.

Suppose you walk 2 miles in 35 minutes. 4. write a proportion to find how far you would walk in an hour if you were to continue at the same rate.​

Answers

Answer:

2/35 * x/60

Step-by-step explanation:

the x is what you're trying to find. the 60 is how many minutes there are in an hour. when setting up this proportion, you can't put 1 for 1 hour because you have 35 minutes. if it says minutes, then keep everything in minutes. from here, you would cross multiply and solve, that should give you the answer :) hope this helps <3

.Two cars start at the same point and move in the same direction. One car travels 5mph faster
than the twice the speed of other car. After 10 hours the distance separating the two cars is 60
miles. What was the speed of each car?

Answers

Answer:

the faster one is 6 mph but i have know idea what the slower one is

Step-by-step explanation:

A coffee shop needs to purchase custom cups. Company C charges a flat fee of $155 plus $15 per cup. Company D does not have a flat fee but charges $30 per cup.

What is the minimum number of cups that must be ordered for company C to be a better deal than company D?

Enter your answer in the box.

cups

Answers

Answer:

minimum 11 cups

Step-by-step explanation:

155 + 15c = 30c

155 = 15c

10.333 = c

You have been waiting for months. The latest version of your favorite video game comes out today. You have mowed lawns, done extra chores, and saved up gift money. The new game costs $49.99. You have exactly $50.00 saved. So you are good to go, right? In 3 to 5 sentences explain if you have enough money to buy that game in Pennsylvania where sales tax is 6% If you have enough money, will you have change? If you do not have enough money, how much more do you need?

Answers

I would not have enough money to buy the game. To buy the game I want I will need about 3 more dollars. I only saved up enough for the game itself but wasn’t thinking about taxes .

The savings are not enough to buy the video game due to sales tax  and $ 2.99 is needed more to buy the latest version of favorite video game.

What is the formula to calculate sale tax ?

The sales tax is calculated by multiplying the cost price by the rate of sales tax.

Amount of sales tax = rate of sales tax × Cost price

Rate of sales tax = percent of sales tax / 100

Savings money = $ 50.00

Cost price = $ 49.99

Given  percentage of Sales Tax = 6%

Amount of sales tax =  (sales tax/ 100 ) × $ 49.99

                             = (6/100)× 49.99

                              = 2.9994

Total Selling price of the video game will be = cost price + sales tax

                                                                         = 49.99 + 2.9994

                                                                         = $ 52.9894

                                                                          = $ 52.99

Selling price is greater than savings it means more money is needed to buy the video game.

Extra money needed = Selling price - savings = $52.99 -$ 50.00= $ 2.99

Therefore, $ 2.99 is needed more to buy the latest version of favorite video game

Also , learn more about the sales tax from the link below:

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