1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mart [117]
3 years ago
15

Almost all companies utilize some type of year-end performance review for their employees. Human Resource (HR) at a university's

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 20.
What is the lowest rating you should give to an ``exemplary'' employee if you follow the university's HR guidelines?
A. 76
B. 85
C. 90
D. 25
Mathematics
1 answer:
balu736 [363]3 years ago
3 0

Answer:

The Answer is 76.

Step-by-step explanation:

Given the normal distribution " 10% of employees (rated) exemplary, 20% distinguished, 40% competent, 20% marginal, and 10% unacceptable'',  we can see that exemplary employees are top 10% rated employees.

We have the formula for normal distribution:

z=(X-M)÷σ

where z is the <em>minimum z-score </em>for top 10% employee, X is the <em>minimum </em>score for top 10% employee, M is the <em>mean</em> of the score distribution, σ is the <em>standard deviation</em> of the score distribution.

The z-score we are looking for is the value "a" that separates the highest 10% from the lowest 90% i.e. P(z≤a)=0.90

If we look at z-table, corresponding value for a is 1.28155

We can now put the values in the formula:

1.28155=\frac{X-50}{20}

So X=(1.28155×20)+50=75.631

Therefore minimum score for exemplary employee is 76.

You might be interested in
i loves chick-fil-a i have 12$ in my pocket if the chicken sandwich are 2.25$ each how many chicken sandwiches can i buy
Helen [10]

Answer:

You can buy atleast 5 chicken sandwiches! (12 / 2.25 is 5.33333 (repeating))

6 0
2 years ago
Read 2 more answers
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inch
andre [41]
The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e
3 0
3 years ago
Find the value of x. Round your answer to the nearest tenth.
dsp73

Answer:

The value of x is 2

Step-by-step explanation:

<h3><u>Given</u>;</h3>
  • A right angled-triangle
<h3><u>To Find</u>;</h3>
  • The value of x

Now,

tan 27 = 1/x

0.5 = 1/x

x = 1/0.5

x = 2

Thus, The value of x is 2

<u>-TheUnknownScientist 72</u>

6 0
2 years ago
.
BabaBlast [244]

Answer: 14.88 is the answer

Step-by-step explanation:

8 0
3 years ago
Jannelle needs 280,000 points on a computer game so far she has 96,675 points how many more dose she need use mental math
Troyanec [42]
Jannelle would need 183,325 more points.
4 0
3 years ago
Read 2 more answers
Other questions:
  • How do you solve this problem using substitution and then check it?:<br><br>y= -3x-2 <br>2x+5y=16
    13·2 answers
  • A student wants to report on the number of books her friends read each week. The collected data are below:
    12·2 answers
  • How many dry ounces are in a pound?
    5·1 answer
  • A baker puts 5 cups of fruit into each pie he bakes. he pays $0.75 for 1 cup of fruit and $2.50 for the pie crust. He sells each
    14·1 answer
  • Cos(3pi/4)= HELLPPPP
    7·1 answer
  • Please help with #6.3 ! ( I will mark brainliest )
    5·1 answer
  • I REALLY REALLY REALLY NEED HELP PLEASEEE<br> BRAINLIEST+THANKS**********
    10·1 answer
  • When Mary was born, she weighed 8 pounds. When she was 10 years old, she weighed 10 times as much. How much more did Mary weigh
    12·2 answers
  • Brainliest 5 stars and thank you! (correct answers only)<br><br> What is the qoutient?
    7·1 answer
  • (a) In the figure, PQ
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!