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 84.584.5; this version has a mean of 66.966.9 and a standard deviation of 1111. Kiersten got a score of 281.8281.8; this version has a mean of 261261 and a standard deviation of 2626. Pierce got a score of 7.697.69; this version has a mean of 7.27.2 and a standard deviation of 0.70.7. 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:

Tobias should be offered the job.

Step-by-step explanation:

Z-score:

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 question:

The applicant with the highest z-score should be chosen.

Tobias:

Score of 84.5, in a version with mean 66.9 and standard deviation 11. His z-score is found when [tex]X = 84.5, \mu = 66.9, \sigma = 11[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{84.5 - 66.9}{11}[/tex]

[tex]Z = 1.6[/tex]

Kiersten:

Score of 281.8, in a version with mean 261 and standard deviation 26. His z-score is found when [tex]X = 281.8, \mu = 261, \sigma = 26[/tex].

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{281.8 - 261}{26}[/tex]

[tex]Z = 0.8[/tex]

Pierce:

Score of 7.69, version with mean 7.2 and standard deviation 0.7. His z-score is found when [tex]X = 7.69, \mu = 7.2, \sigma = 0.7[/tex].

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{7.69 - 7.2}{0.7}[/tex]

[tex]Z = 0.7[/tex]

Due to the higher z-score, Tobias should be offered the job.


Related Questions

Fill in the blank
4+ (-15)=

Answers

Answer:

-11

Step-by-step explanation:

4+(-15)=

-11

According to Wikipedia, the average weight of an adult male in the U.S. is 197.7 pounds with a standard deviation of 18 pounds, while the average adult female weighs 168.7 pounds with a standard deviation of 15 pounds. Both weights vary according to a Normal distribution.

7.) If you randomly selected one adult woman, what is the probability that her weight exceeds (is higher than) 130 pounds?



Suppose you randomly selected one adult male and one adult female from the entire U.S. population. Let the variable D = the difference in their weights (male – female).





8.) Calculate and interpret the mean of D.



9.) Interpret your answer from #8 in context.



10.) Calculate the standard deviation of D.



11.) Calculate the probability that the randomly selected male would weigh less than the randomly selected female.

Answers

Do mine I’ll do 3 of yours

What is the length of BC please help I’ll give you BRAINLIEST

Answers

Answer:

3.8

Step-by-step explanation:

use pythagoras theorem

a^2+b^2=c^2

a^2+5^2=6^2

a^2+25=36

a^2=36-25

a^2=11

a=3.3

but on the answers provided write 3.8 because its close

Solve each inequality and give your answers in interval notation:
|9x – 11 < 4
16x – 31 > 2
Submit Question

Answers

Answer: for |9x – 11 < 4

7/9<x<5/3

Step-by-step explanation:

interval notation:

(7/9 , 5/3)

Please please help me please

Answers

Answer:

a and c

Step-by-step explanation:

I think a and c would work for this problem

PLEASEE HELP MEH I WILL GIVE U BRAINLIST!!!!!!

Answers

Answer:

I will first divide the shape into two rectangles. first rectangle area would be 60x15=900mm^2. next rectangle is 20x30=600mm^2. 900+600=1500mm^2. the area is 1500mm^2, which is answer D

Step-by-step explanation:

Mark me brainliest and I give you luck boost on the test :)

If 120 L of an acid solution is 75% acid, how much pure acid is there
in the mixture?

Answers

Answer:

25% or 30L

Step-by-step explanation:

100% is 120L, we know 75% is acid, we need the other 25% to make the 100%. 25% of 120 is 30, so 30 liters is pure acid

SIGNIFICANCE OF OPERATION RESEARCH IN MODERN MANAGEMENT ​

Answers

What? Can you elaborate

Please help for brainliest.

Answers

Answer:

not sure but I think it's B... I'm so sorry if it's wrong!

Step-by-step explanation:

Nice to meet you❤️

The values of x and y are directly and one pair of values are given.
write an equation that relates x and y. simplify completely.
x= -4, y =6

Answers

Answer:

The relation is [tex]y = -1.5x[/tex]

Step-by-step explanation:

x and y are directly proportional:

This means that the equation is given by:

[tex]y = ax[/tex]

In which a is the multiplier that relates these two variables.

x= -4, y =6

We use this to find a. So

[tex]y = ax[/tex]

[tex]6 = -4a[/tex]

[tex]a = -frac{6}{4}[/tex]

[tex]a = -1.5[/tex]

So

The relation is [tex]y = -1.5x[/tex]

ive been 348234 rer f3298i423 83484 8394qr 93r3 hfe shawtys like a melosyyy

Answers

jjbiiinnmkko ok then

(18 POINTS) PLEASE HELP me! thanks!

Answers

Answer:

2 \frac{1}{4}

Pls help due tonight. BRIANLIEST IF CORRECT. Prob easy tho.

Answers

The Answer Should Be -6 And -2
-6 + -2 = -8
-6 x -2 = 12

lma.oooo im just answering so u can give the first guy brainliest ^^

help me pls i need help asap​

Answers

Answer:

no babe

Step-by-step explanation:

Please help me with this):

Answers

Answer:

It would be 11/3

Step-by-step explanation:

Working 4 hours for $7.00 per hour.

Answers

Answer:

You will have 28 dollars in 4 hours

Step-by-step explanation:

4 x 7 =28

A student had $16.08 in his lunch account on Monday. By the end of the day on Thursday, he had spent $11.25. How much money was left in his lunch account to use for Friday? *​( wrong answers only)

Answers

420.69

Step-by-step explanation:

He lunch was fire

HEY PLEASE HELP ME ASAP I NEEEEEED HELP

Answers

Since only half of the 8 white eggs are cracked, then there are 4 cracked, white eggs. The probability of drawing one of these 4 from the 18 total eggs is 4/18 which simplifies to 2/9 or 22%.

I hope this was quick enough haha, have a nice day and remember that Jesus loves you <3

40 POINTS PLS HELP I WILL ALSO GIVE BRAINLY (ANSWER THE BOXES ON BOTTOM RIGHT)

Answers

Answer: See explanation

Step-by-step explanation:

ΔLNM and ΔLKN are 30°- 60°- 90° triangles

We have to find the length of LN before we can find the length of MN.

In a 30°- 60°- 90° triangle, the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times √3

Since the hypotenuse is 6, the short leg would be 3 since the hypotenuse is 2 times the length of the short leg.

LN = √3 times the shorter leg

3 × √3 = 3√3

LN = 3√3

We now know the length of the longer leg in ΔLNM (3√3)

MN would be 3√3 × √3

3√3 × √3

= 3√9

= 3 × 3 = 9

MN = 9

ΔLKM is also a 30° - 60° - 90° triangle

The short leg is 6 m

The hypotenuse would be 12 m

The longer leg would be 6√3

Perimeter: 6 + 12 + 6√3

The perimeter is 18 + 6√3

Area: 1/2 × b × h

b = 6√3

h = LN = 3√3

6√3 × 3√3

18√9 = 18 × 3 = 54

Area: 54 m²

Hope it helps!!

11x + 4y = -46
7x – 4y = 10

Answers

wait are you solving for y or x?

find the area












__________

Answers

Answer:

21+10.5

=31.5 ²

....

...

....

ABC is a straight line.

A
в с
The length of AB is four times the length of BC.
AC = 75 cm.
Work out the length of AB.
mi
i

Answers

answe ac

Step-by-step explanation:because 827.0837

PLEASE HELP ME!

What is radiant energy? Give an example.

Answers

Answer:

Radiant energy is the energy of electromagnetic waves.

Step-by-step explanation:

I

Radiant energy is energy that is transferred by electromagnetic radiation.

Example:

The heat emitted from a campfire.

Which is a better measure of spread: range or interquartile range? Why?

Answers

The interquartile range is a better measure of spread because, The interquartile range is often seen as a better measure of spread than the range as it is not affected by outliers.

hope it helps.

have a good day.

Answer:

She's correct

Step-by-step explanation:

EDG 2021

Find the quotient.
2,593 dived 4

Answers

Answer:

648.25

Step-by-step explanation:

which one is greater 3 with the power of 2 or 2 with the power of 3 tell me why

Answers

Is there a picture or something or a equation I could help but What you’re needing help on I don’t get

Answer:

3 with the power of 2

Step-by-step explanation:

This is greater because when you multiply 3 by 3 you get 9, and when you multiply 2 x 2 x 2 you get 8

Find x. Round to the nearest tenth.
4
6
5

Answers

Answer:

7.5

Step-by-step explanation:

The ratio between the two numbers in each set are the same, so the process used to get from 4 to 6 could also be used to find x. 6/4=1.5, so 4*1.5=6. Multiplying 5 by 1.5 would get x. 5*1.5=7.5, so x=7.5.

please help me
is for my daughter ​

Answers

Step-by-step explanation:

To find 5/6 of the area, multiply the area that was found in part A , as the question states by 5/6.

⅚ × Area found in part A.

2+2 its really really hard its the hardest problem i have ever done

Answers

Answer:the anser is 66

Step-by-step explanation:2=33

33+33=66

What are the advantages and disadvantages of bar chart​

Answers

Answer:

Advantages:

● Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.

● They're simple to make and most people have experience creating and understanding them from school.

● They can help in presenting very large or very small values more emphatically.

Disadvantages:

● Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value.

● Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional.

I hope it's helpful!

Answer:

Advantages:

Bar charts are pretty easy to interpret, and there's a very clear relationship between size and value that allows easy comparison.They're simple to make and most people have experience creating and understanding them from school.They can help in presenting very large or very small values more emphatically.

Disadvantages:

Bar charts that attempt to represent wide ranges of numbers will struggle to efficiently communicate their message. For example, a bar chart for the numbers 5, 6, 10 and 378 will lend extreme visual weight to the highest value and make the relative values of the other measurements appear irrelevant. An alternative to this would be creating an adjusting scale for the bars, but this complicates the visual aspect of the presentation and breaks the intuitive sense that size correlates directly to value. Bar graphs tend to be locked into a particular data set, making it hard to show multiple values or changes over time unless the chart is modified, such as by making the bars layered and three-dimensional
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