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
vagabundo [1.1K]
3 years ago
8

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0

represents the worst possible life and 10 represents the best possible life. The mean response was 5.9 with a standard deviation of 2.2.
​(a) What response represents the 92nd ​percentile? ​

(b) What response represents the 62nd ​percentile?

​(c) What response represents the first ​quartile?
Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

a) A response of 8.9 represents the 92nd ​percentile.

b) A response of 6.6 represents the 62nd ​percentile.

c) A response of 4.4 represents the first ​quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) We have to find the value of x such that the probability is 0.92

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9

A response of 8.9 represents the 92nd ​percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6

A response of 6.6 represents the 62nd ​percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25

Calculation the value from standard normal z table, we have,  

P(z

\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4

A response of 4.4 represents the first ​quartile.

You might be interested in
Help me with this!!!!!!!!!
Over [174]

Step-by-step explanation:

d = √(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

P1(0, 0, 0) P2(-6, 8, 3)

Substitute the values in the above equation and you will get

d = √(-6 - 0)^2 + (8 - 0)^2 + (3 - 0)^2

= √(36 + 64 + 9)

= √109

= 10.44

6 0
2 years ago
Read 2 more answers
Evaluate the expression:<br> 9 +7(5-2)<br> Using PEDMAS<br><br> yall i suck at math
ANEK [815]

Hello! :)

Let's use PEMDAS.

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

(5-2) = 3 Do parenthesis.

7 × 3 = 21 Multiply with what we got after doing the parenthesis.

9 + 21 = 30 Add with what we had left.

30

Hope this helps!

ELITEDIPER

5 0
3 years ago
*click image*
rosijanka [135]

Answer:

y = 42

Step-by-step explanation:

18 - y = -24

18 + 24 - y = 0

18 + 24 = y

18 + 24 = 42

i think

7 0
3 years ago
Please help serious answers only
Dmitry_Shevchenko [17]
It’s 28, 16 add 4 is 20 add 8 is 28
7 0
3 years ago
Read 2 more answers
2x+12 linear equations
aleksley [76]

Answer:

2x+12=180°

Step-by-step explanation:

because linear is equal to 180°

3 0
3 years ago
Other questions:
  • I’m in dire need of the answers to 2,3,&amp;4
    9·1 answer
  • If anyone knows the answer can you please help me PLEASE
    11·1 answer
  • What is the value of f in the equation f+1/6=3/7
    12·2 answers
  • Nov 18, 10:52:11 PM
    8·1 answer
  • What is the domain of g?
    5·1 answer
  • A team scored 26 points during a football game. This team scored twice as many field goals (3 points each) as it did touchdowns
    5·2 answers
  • Can you help&lt;333? If not it’s gine
    7·2 answers
  • How do you graph y=8x?
    14·2 answers
  • There are 400 students at a sports camp. Two hundred students play soccer, 100 students play baseball, and 100 students play bas
    9·1 answer
  • What is the equation?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!