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
charle [14.2K]
3 years ago
6

Personnel tests are designed to test a job​ applicant's cognitive​ and/or physical abilities. A particular dexterity test is adm

inistered nationwide by a private testing service. It is known that for all tests administered last​ year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8.a. A particular employer requires job candidates to score at least 83 on the dexterity test. Approximately what percentatge of the test scores during the past year exceeded 83?
Mathematics
1 answer:
Elza [17]3 years ago
3 0

Answer:

26.11% of the test scores during the past year exceeded 83.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

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

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

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, we have that:

It is known that for all tests administered last​ year, the distribution of scores was approximately normal with mean 78 and standard deviation 7.8. This means that \mu = 78, \sigma = 7.8.

Approximately what percentatge of the test scores during the past year exceeded 83?

This is 1 subtracted by the pvalue of Z when X = 83. So:

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

Z = \frac{83 - 78}{7.8}

Z = 0.64

Z = 0.64 has a pvalue of 0.7389.

This means that 1-0.7389 = 0.2611 = 26.11% of the test scores during the past year exceeded 83.

You might be interested in
I really need help please
Anna [14]

Answer:

a kite

Step-by-step explanation:

because the question asks what special quadrennial is formed  by connecting the midpoints

8 0
3 years ago
NEED HELP <br><br> Work out the value of 4y+3x when x=5 and y=-3<br><br> Thanks
wel

Hey there!

“4y + 3x”

If x = 5 and y = -3, then substitute it into the equation

4(-3) + 3(5)

4(-3) = -12

-12 + 3(5)

3(5) = 15

-12 + 15

= 3

Answer: 3

Good luck on your assignment and enjoy your day!

~Amphitrite140:)

4 0
3 years ago
Math!! Who knows answers???
Yanka [14]

option C for Qno10

and option a for Qno 9

6 0
3 years ago
Find y when x=12 if y=15 when x=3
larisa [96]
The answer would be y=60.

I think.
4 0
2 years ago
If a/b = 4/3 and b/c = 2/3, what is a,b, and c?
kaheart [24]

Answer:

.

Step-by-step explanation:

\frac{a}{b}  =  \frac{4}{3}

\frac{b}{c}  =  \frac{2}{3}

to give b from both equation the same value

\frac{a}{b}  =  \frac{4}{3}  \times   \frac{2}{2}  =  \frac{8}{6}

\frac{b}{c}  =  \frac{2}{3}  \times  \frac{3}{3}  =  \frac{6}{9}

a:b:c = 8:6:9

a = 8

b = 6

c = 9

7 0
3 years ago
Other questions:
  • What is the volume of the figure ?
    8·2 answers
  • Find the value of
    15·1 answer
  • in 1980 the average price of a home in brainerd county was $97,000. by 1986 the average price of a home was $109,000. write a li
    10·1 answer
  • The summit of Half Dome is the size of 17 football fields. A football field is 360 feet long and 160 feet wide. What is the area
    14·2 answers
  • Solve for x if a≠0, a≠3:<br> 3-a/x-a=1/a<br> (a picture will be provided as well)
    13·1 answer
  • Kylie fell asleep 34% of the way through the trip. If kylie fell asleep after they had traveled 306 miles what wasthe total leng
    11·1 answer
  • Mrs. Stewart bought 15 books. Nine of the books cost $4.95 each and the rest cost $6.95 each. How much money did Mrs.Stewart pay
    5·1 answer
  • Solve the systems of equations using elimination
    9·1 answer
  • Find the length of side a
    7·2 answers
  • Can you the question please and thank you
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!