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
ss7ja [257]
3 years ago
13

A person must score in the upper 8% of the population on an IQ test to qualify for membership in MENSA, the international high-I

Q society. IQ scores are normally distributed with a mean of 115 and a standard deviation of 17. (a). [7pts] What IQ score must a person get to qualify
Mathematics
2 answers:
nikklg [1K]3 years ago
8 0

Answer: The person must score an IQ score of 139 to qualify.

Step-by-step explanation:

Since the IQ scores are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = scores on the test.

µ = mean score

σ = standard deviation

From the information given,

µ = 115

σ = 17

The probability value for the upper 8% of the population would be (1 - 8/100) = (1 - 0.08) = 0.92

Looking at the normal distribution table, the z score corresponding to the probability value is 1.41

Therefore,

1.41 = (x - 115)/17

Cross multiplying by 17, it becomes

1.41 × 17 = x - 115

23.97 = x - 115

x = 23.97 + 115

x = 139 to the nearest whole number

Cloud [144]3 years ago
5 0

Answer:

A person must get an IQ score of at least 138.885 to qualify.

Step-by-step explanation:

Problems of normally distributed samples are 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}

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, we have that:

\mu = 115, \sigma = 17

(a). [7pts] What IQ score must a person get to qualify

Top 8%, so at least the 100-8 = 92th percentile.

Scores of X and higher, in which X is found when Z has a pvalue of 0.92. So X when Z = 1.405.

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

1.405 = \frac{X - 115}{17}

X - 115 = 17*1.405

X = 138.885

A person must get an IQ score of at least 138.885 to qualify.

You might be interested in
I have 3 equations 9x+6, 2(5x-3) and 5y+14 how do i solve for x?
snow_tiger [21]
Set the equation equal to zero.

9x+6=0
Subtract 6 from both sides
9x = -6
Divide both sides by 9
x=-6/9
or -2/3

2(5x-3)=0
Distribute
10x-6=0
add 6 to both sides
10x=6
Divide by 10 on both sides
x=6/10 or 4/5

5y+14=0
-14 from both sides
5y=-14
divide both sides by 5
y=-14/5
or -2 and 4/5
8 0
3 years ago
What is the solution to the equation g(x+2) = 27? (1 point)
Anna11 [10]
X= 2.5
Hope this helps !
8 0
3 years ago
Read 2 more answers
Solve the following equation 6(z-2)+4=10<br> A.z=2<br> B.z=3<br> C.z=-3<br> D.z=-4
seropon [69]
6z - 12 + 4 = 10
6z -8 = 10
6z = 18
z = 3
6 0
3 years ago
Read 2 more answers
Name that meme <br> -For 50 Points
NNADVOKAT [17]
Cow ................
7 0
3 years ago
Read 2 more answers
Mathematics, 19.11.2019 04:31, RiverH246
Darya [45]

The volume of one tissue box is 170 cubic inches, so the volume of 25 tissue boxes are 4250 cubic inches.

3 0
3 years ago
Other questions:
  • Karen deposited $25 in the bank on monday
    10·1 answer
  • What is the exact are of a square if the diameter is 14 cm?
    12·1 answer
  • Find the volume of a cone with base area 36π ft2 and a height equal to twice the radius. Give your answers both in terms of π an
    7·1 answer
  • What 3 numbers can you multiply to get 160?
    12·2 answers
  • given the system of equations, what is the solution? x 3y = 5 x - 3y = -1 {(-4, -3)} {(2, 1)} {(-2, 3)}
    8·1 answer
  • 1
    10·1 answer
  • 4*2 + 3[37 – (2x5)]=<br> Exponents are this *
    8·1 answer
  • G(x) + (–g(x)) =................
    6·1 answer
  • Lines AB and CD (if present in the picture) are straight lines. Find x. Give reasons to justify your solutions.
    6·1 answer
  • My question on math. please help me.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!