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
GarryVolchara [31]
3 years ago
8

According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health

sciences is $51,541. The average starting salary for new college graduates in business is $53,901 (National Association of Colleges and Employers website, January 5, 2015). Assume that starting salaries are normally distributed and that the standard deviation for starting salaries for new college graduates in health sciences is $11,000. Assume that the standard deviation for starting salaries for new college graduates in business $15,000.a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?
Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

You might be interested in
Find simple interest on $5,523 principal deposited for seven years at a rate of 4.99%
Whitepunk [10]
I=PRT
I=interest
P=initial amount
R=rate in decimal
T=time in years

given
P=5523
R=4.99%=0.0499
T=7

I=(5523)(0.0499)(7)
I=1929.1839
round

$1929.18 interest earned
8 0
3 years ago
Read 2 more answers
Multiply 5⋅2/3.<br> Write your answer as a mixed number. <br> 10/3 <br> 2 /13 <br> 7/3 <br> 3 1/3
Oksana_A [137]

Answer: Heyaa!

Your Answer Is... 10/3

Step-by-step explanation:

<u>Simplify the expression.</u>

Hopefully this helps <em>you !</em>

<em />

<em>- Matthew ~~</em> ( have an amazing day)

8 0
2 years ago
Someone help please
ratelena [41]

Answer:

77

Step-by-step explanation:

HAV A GREAT DAY hope this helps

4 0
3 years ago
Prove why this makes sense.
olchik [2.2K]

Answer:

it doesn't

Step-by-step explanation:

hehe, try again

6 0
3 years ago
Read 2 more answers
A cylindrical container has a radius of 3 centimeters and a height of 12 centimeters. The container is filled with water up to t
evablogger [386]

Answer:

volume of empty space = 141.3 cm³

Step-by-step explanation:

volume of empty space = volume of the cylinder - volume of water

First, we need to calculate the volume of the container

volume of a cylinder = πr²h

 where r = radius of the container   and   h is the height of the container

r = 3cm  and h = 12 cm    π is a constant which is ≈ 3.14

volume of a cylinder = πr²h

                                  =3.14 × 3²×12

                                   =3.14×9×12

                                    =339.12 cm³

We will proceed to find the volume of water

since liquid will take the shape of its container,

then volume of water =  πr²h

r is the radius of the container   and    h is the height of the water

r = 3cm    and   h = 7cm      

volume of water =  πr²h

                             = 3.14 ×3²×7

                              =3.14×9×7

                              =197.82 cm³

volume of empty space = volume of the cylinder - volume of water

                                          =339.12 cm³    -    197.82 cm³

                                          = 141.3 cm³

OR

WE CAN SOLVE DIRECTLY

height of empty space = height of container - height of water

                                       = 12 - 7

                                        =5 cm

volume of empty space = πr²h

                                        =3.14×3²×5

                                        =3.14×9×5

                                         =141.3 cm³

volume of empty space = 141.3 cm³

4 0
3 years ago
Other questions:
  • When writing a two column proof you should always start with ________ Information.
    10·2 answers
  • John built a brick border around his garden that was 4 brick levels high. He started with 480 bricks, and he only had 24 bricks
    8·2 answers
  • Which statement regarding variable overhead variance analysis is true? The variable overhead efficiency variance is exactly the
    9·1 answer
  • 1 Point
    7·1 answer
  • Alex paid $6 for renting a movie for 3 days. Which graph shows the relationship between the cost of renting the movie for differ
    14·2 answers
  • 18. If x + y = a, y + z = b and z + x = c, the average<br>of x, y<br> and z is:<br><br>​
    15·2 answers
  • What is the length of sides of the square shown below? 45 2 90 A. 2sqrt(2) B. 4sqrt(2) C. 1 OD. sqrt(2) E. 4 F. 2
    14·1 answer
  • On a math test, 4 out of 20 students received an A. Two students are randomly selected without replacement, and the first studen
    10·2 answers
  • Write 8,000,000 in scientific notation ?​
    9·2 answers
  • Olivia signed up for a streaming music service where there's a fixed cost for monthly membership and a cost per song downloaded.
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!