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

Answers

Answer 1

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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:

[tex]\mu = 100, \sigma = 19[/tex]

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.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 100}{19}[/tex]

[tex]X - 100 = 19*1.645[/tex]

[tex]X = 131.255[/tex]

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


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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:The perimeter = 18.6 , The area= 16.56

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Answers

Answer:

x=17.... I checked on mathaway and did it myself should be correct

Answer:

x=17

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

Hi! The correct answer is 8/21!

Step-by-step explanation:

~Simplify the expression~

Answer:

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Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to
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d. $347.269.59
b
C

Answers

Answer:

A: $339,804.33

Step-by-step explanation:

YOU HAVE THE ANSWER BE  HAPPY!!  /( 0 v 0 )"/

Answer:

a

Step-by-step explanation:

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Do you still need help?

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Answer:

1.  1 hour per day

2. sorry i don't know the answer

Step-by-step explanation:

7hours 30minutes - 1hour 30minutes = 6hours

6 divided by 6 = 1hour

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Answers

Answer:

14.3 meters per second.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

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= [(3/8)x]³.

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The second one would be correct

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Answer:

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Answer:

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Step-by-step explanation:

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For what values of x and y are the triangles to
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Answers

Answer:

x = 6

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Step-by-step explanation:

For both triangles to be congruent, their hypotenuse lengths and the corresponding length of the other leg must be equal to each other.

Thus:

x = y + 4 ---› Eqn. 1

x + 2 = 4y ----› Eqn. 2

Substitute x = (y + 4) into equation 2.

(y + 4) + 2 = 4y

y + 4 + 2 = 4y

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Answers

Answer : scalene triangle

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Answer:

A scalene triangle

Step-by-step explanation:

A scalene triangle is a triangle with unequal interior angles


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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

306.453

(i just used a calculator hsfgkhd)

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Answers

Answer:

20

Step-by-step explanation:

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Answers

Answer:

The table will be:

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3           4

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The graph is shown in figure attached.

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Answers

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Answers

Answer:

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3

1

3

4

(

4

)

=

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4

3

3

4

(

4

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=

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Answers

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Answers

Given:

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Answers

Answer:

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Answer:

4/6.

Step-by-step explanation:

Nancy first ate 6, which equals 6/6. then she ate 2, which is 4/6.

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Answers

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Answers

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Step-by-step explanation:

Francesca must buy over $55 worth of art supplies to qualify for free shipping

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Answer

the question isn't complete

Step-by-step explanation

cool

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