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
Nataly [62]
3 years ago
15

Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100

and a standard
deviation of 15 (as on the Wechsler test).
The shaded area under the curve is 0.5675.
Mathematics
1 answer:
Taya2010 [7]3 years ago
8 0

Answer:

IQ score of 102.55

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}

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, which is also the shaded area under the curve, 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 = 100, \sigma = 15

The shaded area under the curve is 0.5675.

This means that Z has a pvalue of 0.5675.

So, we have to find X when Z = 0.17.

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

0.17 = \frac{X - 100}{15}

X - 100 = 15*0.17

X = 102.55

IQ score of 102.55

You might be interested in
PLEASE HELP DUE TODAY PLPLZPLZ
Blizzard [7]

Answer:

60,140

Step-by-step explanation:

alternate interior angles are congruent. and then 1 and 4 are supplementary angles which create 180

5 0
2 years ago
Read 2 more answers
Determine the final price of a jacket that originally costs $50 and is on sale for 30% off.
icang [17]
=50-(50*30%)
=50-(50*0.30)
=50-15
=$35
the new cost would be $35
7 0
3 years ago
Read 2 more answers
Sales tax is 7% what is the amount of sales tax you would pay this bill​
AleksAgata [21]

% means per 100

so when figuring out percents it's good to use 100

so

on $100 7% would mean $7

on $50 7% would mean $3.5

in $200 7% would mean $14

6 0
2 years ago
Anyone know what -10 + 9 is?
KonstantinChe [14]

Answer:

Step-by-step explanation:

-1

3 0
3 years ago
Read 2 more answers
A pyramid and a cone are both 10 centimeters tall and have the same
Over [174]

Answer:

D the horizontal cross-section of the pyramid and cone at the same height must have the same area

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve -5 = x - 3y<br><br> Solve 11 = -3x + 7y
    5·1 answer
  • Please help me out on some questions...12th grade math..Pleasee help anyone​
    7·1 answer
  • When graphed, the circle with equation
    9·1 answer
  • Help please I'm begging someone to give me the right answer please!!!
    5·1 answer
  • A manufacturer knows that their items have a normally distributed length, with a mean of 8.8 inches, and standard deviation of 0
    10·1 answer
  • A dump truck has a 10 foot bed. When tilted at its maximum angle, the bed reaches a height of 7 feet above it original position.
    15·2 answers
  • HELPPPP 100 points if you help!!!!
    5·1 answer
  • Solve the following Linear equation 15 POINTS ​
    8·2 answers
  • Help I have no idea what I'm doing
    5·1 answer
  • The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 6 feet longer tha
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!