Coaching companies claim that their courses can raise the SAT scores of high school students. Of course, students who retake the SAT without paying for coaching generally raise their scores. A random sample of students who took the SAT twice found 427 who were coached and 2733 who were uncoached. Starting with their verbal scores on the first and second tries, we have these summary statistics:
Try 1 Try 2 Gain
x s x s x s
Coached 500 92 529 97 29 59
Uncoached 506 101 527 101 21 52
Let's first ask if students who are coached significantly increased their scores.
You could use the information given to carry out either a two-sample t test comparing Try 1 with Try 2 for coached students or a matched pairs t test using Gain. Which is the correct test? Why?
A. Two-sample test, because we are given data for the two samples which is more accurate than the data only on the gain.
B. Matched pairs test, because we are not interested in the difference in mean between the two groups, but the gain that each student has achieved.
C. Two-sample test, because matched pairs test can be performed only if we have information on every individual.
D. Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.

Answers

Answer 1

Answer:

Matched pairs test, because we are interested in the difference in mean between the two groups - not the gain that each student has achieved.

Step-by-step explanation:

Due to the correlation which exists between the two Given samples, we need to examine the difference between the pair of each point in the dataset ; coach and uncoached point. Hence, in other to analyze the underlying pattern between each data point in the two categories, the matched pair test will be more appropriate due to the underlying relationship between the reported groups.


Related Questions

3b +2f = 21.50 What is the Answer for B and F

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

b=7.1¯6−2f/3

Isolate the variable by dividing each side by factors that don't contain the variable.

f=10.75−3b/2

Step-by-step explanation:

Find the values of x and y in the diagram.

Answers

Answer:

x = 3

y = 10

Step-by-step explanation:

In triangle KLN, measure of all angles are equal.

Therefore, it is an equilateral triangle.

All sides of an equilateral triangle are equal.

So,

y - 4 = 6

y = 6 + 4

y = 10

In triangle LMN, measures of angles M and N are equal, Therefore,

LM = LN

x + 3 = y - 4

x + 3 = 10 - 4

x + 3 = 6

x = 6 - 3

x = 3

The NCAA basketball tournament begins with 64 teams, and after each round, half the teams are eliminated. The number of remaining teams t n) is an exponential function of the number n of rounds already played . Write the exponential function that represent the number of players after n rounds . How many players will be there after 4 rounds?

Answers

Answer:

64 (1/2) n

ssssssssssssssssssssssssssssssssssssssssssssss

Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of fruit you could buy.​

Answers

Answer:

ok

Step-by-step explanation:

ok ok ok ok ok ok ok ok

Please help ASAP! Please and thank you have a great and blessed day!

Answers

Answer:

Number 1

425,176- 400,00

4,008- 4,00

Number 2

C, B,

Step-by-step explanation:

I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?

Answers

Answer:

She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.

Step-by-step explanation:

First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”

What is the area of the real object that the scale drawing models?​

Answers

Answer:

90 cm²

Step-by-step explanation:

since the ratio is 1:6 for every one little box the bigger box increases 6 times.

so  15·6= 90 cm²

Answer:

D. 90 square cm

please help me please i really need help please

Answers

I’m pretty sure it’s a.

Answer:

I think it would be all of the above

Step-by-step explanation:

:)))

A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *

Answers

Answer:

$10.75

Step-by-step explanation:

$53.75 / 5 = $10.75

Answer:

$10.75

Step-by-step explanation:

$53.75 ÷ 5 = $10.75

This is showing the total split amongst the five people. $10.75 is the price that each friend will pay if the bill is split evenly

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
A.) Give the distribution of X. (round your standard deviation to two decimal places. X
∼ N (18.5, _____)
B.) Give the distribution of SumX. Round your standard deviation to two decimal places. SumX
∼ (1017.5, _____).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages. _____

Answers

Answer:

A.) X ~ N(18.5, 3.75)

B.) SumX ~ N(1017.5,27.8).

C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

Step-by-step explanation:

Uniform distribution:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b.

The mean is given by:

[tex]M = \frac{a+b}{2}[/tex]

The standard deviation is given by:

[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]

Normal probability distribution

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.

The uniform distribution can be approximated to the normal, using its mean and its standard deviation.

Sum of n terms of a normally distributed variable:

The mean of the sum will be:

[tex]\mu_{s} = n\mu[/tex]

The standard deviation of the sum will be:

[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]

Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.

This means that [tex]a = 12, b = 25[/tex]

We survey a class in which 55 research papers were turned in to a professor.

This means that [tex]n = 55[/tex]

A.) Give the distribution of X.

The mean has already been given, and the standard deviation is:

[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]

So

X ~ N(18.5, 3.75)

B.) Give the distribution of SumX.

Sum of 55 papers, the standard deviation will be of:

[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]

So

SumX ~ N(1017.5,27.8).

C). Calculate the probability that the professor will need to read a total of more than 1080 pages

This is 1 subtracted by the pvalue of Z when X = 1080. So

[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]

[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]

[tex]Z = 2.25[/tex]

[tex]Z = 2.25[/tex] has a pvalue of 0.9878

1 - 0.9878 = 0.0122

0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.

What is the perimeter of the rectangle given below?

Answers

The answer is 62 cm!!hope this helps
Is this for school or what
step by step explanation:

Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo​

Answers

reparto proporcional

seven more than twice a number is -4

Answers

Answer:

-5.5

Step-by-step explanation:

[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]

Answer:

-11/2

Step-by-step explanation:

Let the number be a

(2a)+7= -4

2a= -4-7

2a= -11

a= -11/2

In the figure below, angles PQS and
TQR are congruent. Angle SQT is 15° larger
than angle PQS.
What is the measure of angle SQT?

Answers

Answe70

Step-by-step explanation:

The measure of the angle SQT will be 70°. The correct option is B.

What is geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that In the figure below, angles PQS and TQR are congruent. Angle SQT is 15° larger than angle PQS.

The measure of the angle SQT is,

2∠PQS + ∠SQT = 180

2∠PQS + ∠PQS + 15 = 180

3∠PQS = 165

∠PQS = 55°

The measure of the angle ∠SQT is,

∠SQT = 55 + 15

∠SQT = 70

To know more about geometry follow

https://brainly.com/question/12099266

#SPJ2

(giving brainiest)

tell how you solved the question

Answers

Answer:

Step-by-step explanation:

4000

Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5

(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)

Answers

Answer:

Step-by-step explanation:

Point-slope equation for line of slope m that passes through (x₀,y₀):

y-y₀ = m(x-x₀)

In your case, m=5 and (x₀,y₀)=(1,9):

y-9 = 5(x-1)

If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen?

Answers

Answer:

area

Step-by-step explanation:

Answer:

area

Step-by-step explanation:

What are two fractions equivalent to 2/8?

Answers

Hm, any two? 1/4 and 4/16 are equal to 2/8.

Hope this helps.

what is 4(d+6c)
please help me

Answers

Answer:

23d

Step-by-step explanation:

Answer:

4d +24c

Step-by-step explanation:

Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3

Answers

Answer:

man i get that- but just try and keep your head up!! you got this!!

Step-by-step explanation:

have cute picture of a cat!!

Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)

An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.

Answers

Answer:

Kindly check attached picture for sample space.

Step-by-step explanation:

Sample space, S

S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

The tree diagram for all 18 elements in the sample space can be found in the picture attached below :

a.)

Event A ; number on die < 3

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

b.)

Event B ; 2 tails occur :

B = {1TT, 3TT, 5TT}

QUESTIONS B, C and E are not well formatted

The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup

Answers

Answer:

Note: The full question is attached as picture below

a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.

b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6

c. For carbohydrate content of 29 grams,

Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram

d. Residual value= Actual value - Predicted value

8.556 = Actual sugar content - 10.444

Actual sugar content = 8.556 +10.444

Actual sugar content = 19

So, the Raisin Bran actually have 19 grams of sugar per cup.

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees. How far away from the building's base are you?

Answers

Answer:

Step-by-step explanation:

horizontal distance = 62/tan(51°) ≅ 50.2 m

The distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

What is the trigonometric ratio?

The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.

Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle.

It is given that:

You look up at a 62 m tall building and find that the angle of elevation from the ground to the top of the building is 51 degrees.

The angle = 51 degrees.

The height of the building = 62 m

Applying the tan ratio

tan51 = height of the building/distance between the building base to a standing point

tan51 = 62/x

x = 50.20 m

Thus, the distance between the building base to a standing point is 50.20 m if the angle of elevation from the ground to the top of the building is 51 degrees.

Learn more about trigonometry here:

brainly.com/question/26719838

#SPJ6

How to convert 12/25 to a decimal number.​

Answers

Step-by-step explanation:

0.48 is the decimal form of 12/25

Answer:

0.48

Step-by-step explanation:

First you have to...

make the denominator to 100

25×4=100

multiply the numerator with that same number

12×4=48

So, it becomes...

48/100

And now you can convert it to a decimal number...

48/100= 0.48

Hope it helps you!!!

is every relation a function?

Answers

All functions are relations, but not all relations are functions, so no.

Hope this helps!

Three times the sum of a number and 18 and is at least -30

Answers

Answer:

im sry i need hte points

Step-by-step explanation:

12 is what is from -30 to 18?

Help please!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

because 25 times 2 is 50 and 25 times 3 is 75

hope I helped!!! ;)

who knows the answer to this????

Answers

There is no problem here
What is the question??

The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
cm
2
, what is the length of the diagonal?

Answers

Answer:

Use the formula of areal*b*h

In an art class, 40% of the members are boys. 20% of the boys and 50% of the girls have learnt how to play a piano. If there are 150 members in the class, how many members have learnt to play piano? ​

Answers

Answer:

57

Step-by-step explanation:

Other Questions
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