The Stanford-Binet Intelligence Scale is an intelligence test, which, like many other IQ tests, is standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.

As an early intervention effort, a school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.

Determine the margin of error,
, of a 90% confidence interval for the mean IQ score of all students with the disorder. Assume that the standard deviation IQ score among the population of all students with the disorder is the same as the standard deviation of IQ score for the general population, =15

points.

Give your answer precise to at least two decimal places.

Answers

Answer 1

Answer:

4.11

Step-by-step explanation:

Margin of error equals critical value times standard error.

MoE = CV × SE

For 90% confidence and n > 30, the critical value is z = 1.645.

The standard error is SE = σ/√n = 15/√36 = 2.5.

Therefore, the margin of error is:

MoE = (1.645) (2.5)

MoE = 4.11

Answer 2

The margin of error of a 90% confidence interval for the mean IQ score of all students with the disorder is 4.1125 and this can be determined by using the formula of margin of error.

Given :

Standardized in order to have a normal distribution with a mean of 100 and a standard deviation of 15 points.A school psychologist wants to estimate the average score on the Stanford-Binet Intelligence Scale for all students with a specific type of learning disorder using a simple random sample of 36 students with the disorder.90% confidence interval.

According to the given data, the confidence is 90% and n > 30, so the critical value is z = 1.645.

Now, to determine the standard error using the below formula:

[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]

[tex]\rm SE = \dfrac{15}{\sqrt{36} }=\dfrac{15}{6}[/tex]

SE = 2.5

Now, the formula of margin of error is given by:

[tex]\rm MOE = z\times SE[/tex]

MOE = (1.645) [tex]\times[/tex] (2.5)

MOE = 4.1125

So, the margin of error is 4.1125.

For more information, refer to the link given below:

https://brainly.com/question/22771970


Related Questions

Tim had $150 to spend on 3 pairs of pants. After buying them, he had $30 left over. What equation expresses how much each pair of pants cost?

Answers

Answer:

Step-by-step explanation:

3x+30=150

its 120 then divide by 3 which is 40

Every​ quarter, the Food and Drug Administration​ (FDA) produces a report called the Total Diet Study. The​ FDA's report covers a variety of food​ items, each of which is analyzed for potentially harmful chemical compounds. A Total Diet Study reported that no pesticides at all were found in ​% of the domestically produced food samples. Consider a sample of food items analyzed for the presence of pesticides. Complete parts a and b. a. Compute and for the random variable​ x, the number of food items found that showed no trace of pesticide. nothing ​(Type an integer or a​ decimal.)

Answers

Answer:

a) Mean = 600

Standard deviation = 12.24

B)No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide

Step-by-step explanation:

Total number of food items = 800

We are given that no pesticides were found at all in 75% of domestically produced food samples.

So, Probability of success = p = 0.75

Probability of failure = q = 1-p = 1-0.75=0.25

Now we are supposed to find [tex]\mu[/tex] and [tex]\sigma[/tex] for random variable x

a) Mean = E(x)= [tex]n \times p = 800 \times 0.75=600[/tex]

Standard deviation =[tex]\sqrt{npq}=\sqrt{800 \times 0.75 \times 0.25}=12.24[/tex]

b)Is it likely that you would observe fewer than half of the food items without any traces of pesticides ? Why or why not ?

No it is not likely because our probability of no pesticide is 75%  which  means that more than half of food items are without any pesticide

Write an equation for a line perpendicular to y= -4x - 3 and passing through the point (-4,2)

Answers

Answer:

y = (x/4) + 3

please help it’s due in a couple of min

Answers

Answer:

C

I have done this.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The first 3 answer is wrong so Its d

Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5

Answers

Answer: Its A) 1 ; 3.7

Step-by-step explanation:i just took the practice on edge 2020

can i have 300mn + 500mn =_________________________________________________________________________________________________i need help

Answers

Answer:

yes it would be 800mn

Step-by-step explanation:

how do you find the solution to this inequality? please explain to me step by step how to do this
x - 8 > -3​

Answers

Answer:

x > 5

Interval form: (5, infinity)

Step-by-step explanation:

Just add 8 to both sides of the inequality:

x > 5

Therefore, x must be greater than 5.

Find DF
D
20
E 10 F
DF =

Answers

Answer:

30

Step-by-step explanation:

it is right

it’s 30!

bc DE is 20 and EF is 10, if DF is the entire segment, then you would add 20 & 10, to get 30.

The amount of milk that the bakery used this month was a 75% decrease relative to last month. What is the new amount of milk using percent?

Answers

Answer:

25%

Step-by-step explanation:

the answers

The new amount of milk using percent is 25.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then the percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We are given that the amount of milk that the bakery used this month was a 75% decrease relative to last month.

Therefore, for last month, we have a rectangle with four equal areas 75% decrease,

we have to remove 3 areas to make the remaining = 25%

So, the difference will give a 75% decrease

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Order the following from least to greatest.
0.67,6.7%, 6/7

Answers

Answer:

from least to greatest.= 6.7%, 0.67, 6/7

Answer: 6.7%, 0.67, 6/7

Step-by-step explanation:

6.7% is less than 0.67.

0.67 is less than 6/7.

So, the order is 6.7%, 0.67, and 6/7.

7)
A bag of five bananas costs £1. A bag of four grapefruits costs £2.40. How much
more does one grapefruit cost than one banana?

Answers

Step-by-step explanation:

£2.40 - £1

= £1.40

Therefore,

£1.40 more one grapefruit cost than one banana.

Answer:

4.4 pounds

Step-by-step explanation:

1. Divided 5 by 1. Which equals 5.

2. Divided 2.40 by 4. Which equals 0.6.

3.Last subtract 5 from 0.6. Which is 4.4.

134d) Graph the hyperbola, identify the center, vertices, foci, and equations of the asymptotes

49y^2−25x^2−196y−200x−1429=0

IF YOU ARE GOOD AT MATH, PLEASE HEAD OVER TO MY PROFILE, IN THE QUESTIONS TAB AND ANSWER THE QUESTIONS STARTING FROM THE ONE MARKED 132B!

best answers get marked 'brainliest'!

Thank you!

Answers

Answer:

Step-by-step explanation:

49y^2 - 25x^2 - 196y - 200x = 1429

49y^2-196y+196 - 25x^2-200x-400 = 1429+196-400

49(y-2)^2 - 25(x+4)^2 = 1225

(y-2)^2/25 - (x-4)^2/49 = 1

So now you know that you have an hyperbola with

center at (-4,2)

foci at (-4,2±[tex]\sqrt{74}[/tex])

vertices at (-4,2±5)

asymptotes 7y±20 = ∓5x+14

Can you help me find abcd please

Answers

Answer:

A.2 B.4 C.3 D.4 E.6

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)

If you multiply 1/2 x 4/3 you will get 4/6.

The circumference of a circle can be found using the formula C = 2tr.​

Answers

Answer:

r = c/2pi

Step-by-step explanation:

The price of lunch increased from $4.00 to $5.00 . What is the percent increase?

Answers

Answer: 1% ?

Step-by-step explanation:

Answer:

That is a 25% increase

Step-by-step explanation:

Hope this helps!!

What is 1 hundredth ÷ 10?
1 hundredth ÷ 10 =

Answers

Answer:

.001 or 1 thousandth

Step-by-step explanation:

.01/10=.001

Please help me out!

On a unit test in statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2. What is the test grade, rounded to the nearest whole number, with a z-score of 2.4?

A.65

B.83

C.90

D.95

Answers

Answer:

C: 90

Step-by-step explanation:

What is a better credit score?
Select the correct answer below:
A lower number
An even number
An odd number
O A higher number​

Answers

Answer:

A higher number.

Step-by-step explanation:

You don't want your credit to be low, and a higher number beats all of them.

You want high credit.

Not low.

Answer:

definately you want a higher number

in 2009,Alaska suffered an earthquake of magnitude m=7.1. find the intensity of that earthquake​

Answers

Answer:

Here you go :)

7.0 to 7.9 Major earthquake. Serious damage. 20

Or

Major 7 - 7.9

________

Answered by James

Step-by-step explanation:

If you lower your monthly payment, do you think the total interest you pay will increase or decrease? Why?

Answers

Answer:

increase

Step-by-step explanation:

Once Your Monthly Payment Has Been Lowered, More People Will Be Interested Do To Its Lower Payment.

How many significant figures are in the number: 800

Answers

Answer:

1

Step-by-step explanation:

The zeros after 8 are not significant.

What is the volume of a sphere with a radius of 7 centimetres?
Use 3.14 for pi. Round your answer to the nearest hundredth. Use the formula provided.
V=
1077.02 cm3
1436.03 cm3
1975.43 cm3
11,494.04 cm3

Answers

Answer:

[tex]V=1436.03 \ cm^3[/tex]

The second choice provides the correct answer.

Step-by-step explanation:

The Volume of a Sphere

The volume of a sphere of radius r is given by:

[tex]\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3[/tex]

The radius of the sphere is r=7 cm, thus:

[tex]\displaystyle V=\frac{4}{3}\cdot 3.14\cdot 7^3[/tex]

[tex]V=1436.03 \ cm^3[/tex]

Note: We have used an approximated value for pi=3.14.

The volume of the sphere rounded to the nearest hundredth is

[tex]\boxed{V=1436.03 \ cm^3}[/tex]

The second choice provides the correct answer.

if f(x) = 6(x - 2)3 + 5, what is the y- intercept?​

Answers

Answer:

y= (0, -31)

Step-by-step explanation:

Hope this helps

HELPPS PLEASE FOR BRIANILIST

Answers

0.80¢ answer i’m pretty sure

I can't solve this problem: 47 x 98= ( ? x 47)-(2 x 47)

Answers

Answer:

The answer to your question is:

2 and -49

Step-by-step explanation:

2 x -49 = -98

2 + (-49) = -47

x2 - 47x - 98 = 0

The solution to factor the quadratic equation above is:

(X + 2 ) (X - 49)

Since 2 and -49 multiply to -98 and add up -47, you know that the following is true:

x2 - 47x - 98 = (X + 2 ) (X - 49)

determine the slope of the line given this two points (-2,4) and (1,6) with solution

Answers

Answer:

Slope = y2 - y1/x2 - x1

Slope = 6-4 / 1--2

Slope = 2/3

Step-by-step explanation:

hope that will help you

The slope of the line will be 2/3.

The formula for the slope will be:

= (y2 - y1) / (x2 - x1)

where,

y2 = 6

y1 = 4

x2 = 1

x1 = -2

We will slot the values into the equation which will be:

= (y2 - y1) / (x2 - x1)

= (6-4) / (1- -2)

= 2/(1+2)

= 2/3

Therefore, the slope is 2/3.

Read related link on:

https://brainly.com/question/24645618

what is 100,789,388,369,012 times 479,000,000

Answers

Answer:

4.8278117e+22

Step-by-step explanation:

48278117028756748000000
Pls mark brainliest

what number is 100 more than 152

Answers

Answer:

252

Step-by-step explanation:

252-

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Help please, only right answers get brainliest!

Answers

Answer:

90

Step-by-step explanation:

The number of possibilities is the the product of the number of choices of each category.

size: 3 choices

cheese: 2 choices

side dish: 3 choices

drink: 5 choices

number of difference possibilities: 3 * 2 * 3 * 5 = 90

Answer: 90

Find the perimeter of the rectangle.
5 in.
9 in.

Answers

Answer:

28 inches

Step-by-step explanation:

Other Questions
I mark as brainliest What are the by-products of algae production? What layer of atmosphere does planes fly? The distance of the Kentucky Derby, a classic horse race, is 1.25 miles. How is this distance expressed in furlongs ? Select the correct answer.What is the tone of the passage? A. frustratedB. dramaticC. sarcastic D. accusatory Gases ___ out and fill their container completely The total cost, in dollars, of membership in a fitness center is given by the function c(m) = 25m + 50, where m is the number of months a person is a member. In dollars, how much is the cost of a membership for 1 year? match each figure with the saving amount type OKAY I AM DONE I GOING EITHER DROP OUT SCHOOL OR JUST HAVE MEANTEL BREAKDOWN OR BOTH IF THESE ARE NOT ANSWERED I SWEAR I NOT LYINGPLZZ HELP THIS DUE TODAY AND I STRESSING OUT PLEASE SOMEONE HELP PLZ DON'T SPAM PLZ THS DUE RIGHT NOW PLZZ!!!1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water. Can someone plz help me ASAP!!!???If u get it correct i will give brainliest. If jack age is 5 years, 4 months old and he is expected to live 79.7. years. How many more years is jack is expected to live? Identify the correct sentence.A.The short poem Harlem by Langston Hughes is very powerful.B.The short poem Harlem by Langston Hughes is very "powerful."C.The short poem Harlem by Langston Hughes is "very powerful."D.The short poem "Harlem" by Langston Hughes is very powerful. Determine wether the following features belong to the us constitution, the iroquois great law of peace, or both Each student in the fifth grade at Bonchon elementary bought 15 to the book fair they bought 1245 altogether how many fifth grade students go to Boston elementary The part of a flower which holds the egg cells is the:ovarystylestamenanther Why was Gen. Burgoynes campaign important for the British? A British victory in New York would help win the support of the French army.They wanted to cut off New England from the rest of the colonies.The British wanted to cut off New York from Canada. What is the equation of the line that as the same slope as the line 3x 6y = 12 and the same y-intercept as the line 5x + 7y = 21? Stefan estimates the income and expenses for rentinga phone accessory store in the mall. He enters theamounts in the table below. Should Stefanrent a phone accessory store? Explain. Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution. Yo can someone help me out