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
Andrew [12]
3 years ago
8

Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below

. Brittany got a score of 88.388.3; this version has a mean of 63.163.1 and a standard deviation of 1414. Alissa got a score of 236.5236.5; this version has a mean of 219219 and a standard deviation of 2525. Tera got a score of 7.757.75; this version has a mean of 6.66.6 and a standard deviation of 0.50.5. 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?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0

Answer:

Tera had the higher z-score, so she should be offered the job.

Step-by-step explanation:

Z- score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem:

Whoever has the higher z-score should get the job.

Brittany:

Scored 88.3, mean 63.1, standard deviation 14. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{88.3 - 63.1}{14}

Z = 1.8

Alissa:

Scored 236.5, mean 219, standard deviation 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{236.5 - 219}{25}

Z = 0.7

Tera:

Scored 7.75, mean 6.66, standard deviation 0.5. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{7.75 - 6.66}{0.5}

Z = 2.18

Tera had the higher z-score, so she should be offered the job.

You might be interested in
Solve the system of equations by graphing.
valentinak56 [21]
The answer is A.

The way you know this is by graphing the first function.

The second function is in a different format, so you just have to isolate Y. 

-1/3x + y = -1
y= 1/3x -1  OR y= -1 + 1/3x

both of the functions have the same slope, but different y-intercepts. therefore, they'll never touch. making them infinite solutions.

it's also A because both of the slopes are positive, the slopes in graph D are negative.

So, the answer is A.

Hope this helps! xx


4 0
3 years ago
Picture attached. help please
Iteru [2.4K]

Answer:

A, D, F.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The figure shows three quadrilaterals on a coordinate grid:
makkiz [27]

Answer:

E and G are similar but not congruent.

Step-by-step explanation: I don't really know how to explain this but I am positive this is the answer.

6 0
2 years ago
Read 2 more answers
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
pochemuha

Answer:

log base 6 of the cube root of 6 matches with 1/3

-3 log 5 of 25 matches with -6

log base 2 of the 4th root of 8 matches with 3/4

log base 3 of 1/81 matches with -4

5 0
3 years ago
Read 2 more answers
On a number line, a number, b, is located the same distance from 0 as another number, a, but in the opposite direction. The numb
sdas [7]

Answer:

b=-a

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Haaaaaaaalp meeeeeeee
    5·1 answer
  • A collectible action figure sold for 193% of its original price. Write this percent as a decimal and as a mixed number or fracti
    6·1 answer
  • 12x - 15=6 - 3x<br><br> what value of x makes this equation true
    10·2 answers
  • Need HELP ASAP/ Cant get this wrong &lt;3
    12·1 answer
  • All the members of a construction crew work at the same pace. Four of them working together are able to pour concrete foundation
    14·1 answer
  • Which statement is true about a trend line?
    10·1 answer
  • How do i do this and how do i show my work ?
    5·1 answer
  • Use algebra tiles to model the expression. Then, use the model to help you write an equivalent expression, and complete the stat
    9·2 answers
  • Identify the factors of the terms of the expression.
    5·1 answer
  • -2(x+5)=4 Can someone explain I need an one number answer.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!