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
kotykmax [81]
2 years ago
10

Some IQ tests are standardized to a Normal model N(100,19). What is the cutoff value for the top 5% of all IQs

Mathematics
1 answer:
Montano1993 [528]2 years ago
8 0

Answer:

The cutoff value for the top 5% of all IQs is 131.255.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 100, \sigma = 19

What is the cutoff value for the top 5% of all IQs

This is the 100 - 5 = 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

1.645 = \frac{X - 100}{19}

X - 100 = 19*1.645

X = 131.255

The cutoff value for the top 5% of all IQs is 131.255.

You might be interested in
2,412 ÷ 25.<br> pls show your work<br> 1,889 ÷ 36.<br> pls show your work
Goshia [24]

Answer:

96.48

52.472

Step-by-step explanation:

lol

3 0
3 years ago
Read 2 more answers
A proof should always begin with stating the given information.<br> True<br> False
const2013 [10]
<span>A proof should always begin with stating the given information.
True</span>
5 0
3 years ago
Read 2 more answers
Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball
Irina-Kira [14]
The ball will hit the ground when h(t)=0 so:

16t^2-96t=0

16t(t-6)=0, since t>0

t=6

So the ball with hit the ground after 6 seconds.
6 0
3 years ago
Read 2 more answers
If the area of a circular cricket ground is 15,400 m2, then find its circumference. (Take π≈22/7)
Dmitry_Shevchenko [17]

Answer:

440m^2

Step-by-step explanation:

15400/(22/7)=4900, which is r^2, so r=70. Now we can find the circumference by doing 22/7*2*70, which is 440.

5 0
2 years ago
Read 2 more answers
Which organism does not produce an external egg as part of its life cycle? *
eduard

Answer:

dog

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • How do you make 104 with 2 3 5 and 8
    13·1 answer
  • HELP ME PLEASE!! ASAP!!
    7·1 answer
  • Hannah has 36 space rocks total. How many more purple rocks Does Hannah have been blue rocks?
    13·1 answer
  • Miriam ahorró durante toda la semana $14.00.El sabado se gasto 1/7 de esa cantidad y el domingo 5/8, ¿Que cantidad gastó en tota
    5·1 answer
  • PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!
    15·1 answer
  • A construction crew is lengthening a road. Let L be the total length of the road (in miles). Let D be the number of days the cre
    5·1 answer
  • Solve the equation for x. If a solution is extraneous, be sure to identify it in your final answer.
    9·1 answer
  • In an 8 hour and 30 minute shift a patrolman drove 272 miles. What was his average rate(mph) during the shift?
    11·2 answers
  • Why are your triangles not identical?<br> Type your answer below:
    8·1 answer
  • Just answer 6,8, and 9
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!