A study of the impact of caffeine consumption on reaction time used 24 subjects and divided them into 12 pairs based on the average hours of sleep they got. One randomly assigned member of each pair drank two cups of caffeinated coffee, and the other drank two cups of decaf. Each subject's performance on a standard reaction time test was recorded. The difference for each pair is calculated (caffeinated - decaf). A 95% confidence interval for the mean difference in reaction times is (-1.2, 0.75).

What is a valid conclusion they can make?

a. Because the confidence interval includes more negative numbers than positive, we have convincing evidence that caffeine decreases reaction time.

b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.

c. Because the center of the interval is -0.225, we have convincing evidence that decreases reaction time.

d. Because the confidence interval includes 0, we have convincing evidence that the true mean difference is 0.

Answers

Answer 1

Using the confidence interval, it is found that the correct option regarding the valid conclusion they can make is given by:

b. Because the confidence interval includes 0, we don't have convincing evidence that there is a difference in reaction time.

What are the hypothesis tested?

At the null hypothesis, it is tested if there is not a difference in reaction times, that is:

[tex]H_c - H_d = 0[/tex]

At the alternative hypothesis, it is tested if there is a difference, that is:

[tex]H_c - H_d \neq 0[/tex]

The interval contains 0, hence there is not enough evidence to reject the null hypothesis, which means that option B is correct.

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Related Questions

A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe the
forces on the fist and the punching bag.
A) The force on the fist is greater than the force on the punching bag.
B) The force on the fist is equal to the force on the punching bag.
C) The force on the fist is smaller than the force on the punching bag.
D) Not enough information is given to determine which force is larger or smaller

Answers

Answer:

B

Step-by-step explanation:

B is the answer to your question

ANWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Answers

Answer:

6202.73 cubic centimeters

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

diameter: 22.8 cmradius: diameter/2 - 22.8/2 = 11.4 cm

Volume:

4/3 π(radius)³

insert values

4/3 (3.14)(11.4)³

simplify

6202.73 cm³

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Answers

Answer:

x = 42°

Step-by-step explanation:

We have from figure

x + 48° = 90°

x = 90° - 48°

= 42°

HOPE THIS HELPS AND HAVE A NICE DAY <3

Pleaseeee help school ends tmrw

Answers

Answer:

y=3x-23

Step-by-step explanation:

You have to distribute 3 and you get y+5=3x-18 and then move 5 over by subtracting it from each side you get y=3x-23 hope you enjoy your summer!

Answer:

C. y = 3x - 11

Step-by-step explanation:

Combine the y and 3

Add the 5 and 6 to get 11

Write the equation in standard form

Given a function described by the table below, what is y when x is 5?

X Y
2 6
4 8
5 9
6 12

Answers

Considering the table that describes the function, it is found that when x = 5, the value of y is of y = 9.

What does the table states?

The table representing the function states the value of y associated with each value of x.

Hence, considering the third line of the table, it is found that when x = 5, the value of y is of y = 9.

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At a raffle100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25. What is the expected value of one ticket?

Answers

The expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, $1.75.

What is the expected value?

The expected value is used to calculate the weighted average of all the possible values of a random variable.

[tex]\sum_{i=1}^n=P_i\times V_i[/tex]

Here, P is the probability of winning a prize and V is the value of the price.

At a raffle, 100 tickets are sold at $2 each for three prizes valued at $100,$50 and $25. The probability of winning one person in 100 persons is,

[tex]P=\dfrac{1}{100}[/tex]

There are three prices of $100, $50 and $25. Thus, the ticket price expected to win is,

[tex]E=100\times\dfrac{1}{100}+50\times\dfrac{1}{100}+25\times\dfrac{1}{100}\\E=1+0.5+0.25\\E=1.75[/tex]

Thus, the expected value of one ticket at a raffle where 100 tickets are sold at $2 each for three prizes valued at $100,$ 50 and $25, is $1.75.

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PLEASE HELP!!!

Which point is tangent to the circle?

A

D

M

Q

Answers

A is the answer……………….

please help me with this question

Answers

A. 168 explaination: 4* 3= 12 meaning 56 times 3 would be 168

Ram, Shyam and Moha purchased biscuits of different brands P, Q and R. Ram purchased 10 packets of P, 7 of Q and 3 packets of R. Shyam purchased 4 packets of P, 8 packets of Q and 10 packets of R. Mohan purchased 4 packets of P, 7 packets of Q and 8 packets of R. If brand P costs € 4, Q costs € 5 and R costs € 6 each, then using matrix operation, find the amount of money spent by these persons individually.

Answers

The amount of money spent by these persons individually will be $ 93, $116, and $ 99.

What is the matrix?

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

Ram, Shyam, and Mohan purchased biscuits from different brands P, Q, and R.

Ram purchased 10 packets of P, 7 packets of Q, and 3 packets of R.

Shyam purchased 4 packets of P, 8 packets of Q, and 10 packets of R.

Mohan purchased 4 packets of P, 7 packets of Q, and 8 packets of R.

If brand P costs € 4, Q costs € 5, and R costs € 6 each.

Then the amount of money spent by these persons individually will be

Then these are shown in the form of a matrix. Then we have

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix}[/tex]

Then the amount of money spent by these persons individually will be

[tex]\begin{bmatrix}10 & 7 & 3 \\4 & 8 & 10 \\4 & 7 & 8 \\\end{bmatrix} \begin{bmatrix}4 \\ 5 \\ 6 \\\end{bmatrix} = \begin{bmatrix} 93\\ 116 \\99 \end{bmatrix}[/tex]

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ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.



Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.

Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.

Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:

The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.

How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.

Answers

Answer:

its b actually jack had 5 numbers for each button

Neil pays 2.16 in postage to a frien he uses 40 cent stamps and 7cent stamps to 2.16 how many of each stamps did he use

Answers

4 40c ones and 8 7 cent ones

Please help me ojn this question

Answers

Answer:

T4 = 162   T5 = 486    T6 = 1458

Explanation:

the pattern is multiply the previous number by 3

so 6 x 3 = 18

18 x 3 = 54

54 x 3 = 162 and so on.

Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.

Answers

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  [tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]

Both variables should have positive exponents in the denominator.

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

Answers

Answer:

A^2 +b^2 = c^2

8^2 + 13^2

64 + 169

233

233 = c^2

so we find the square root of 233

answer is 15.26

Answer:

15.26

Step-by-step explanation:

The Pythagorean theorem

The Pythagorean theorem is used to find missing side lengths in a right triangle (  a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.

The formula of the Pythagorean theorem is

a² + b² = c²

Where a and b = base lengths and c = hypotenuse ( longest side )

Solving for the missing side

Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.

To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )

Plugging in what we are given

Given:

a = 8 , b = 13

Formula : a² + b² = c²

==> plug in values

8² + 13² = c²

==> simplify exponents

64 + 169 = c²

==> add 64 and 169

233 = c²

==> take the square root of both sides

c = 15.26 ( rounded to two decimal places )

And we are done!

2. Use the figure to find angle measures. In the figure, m ll n and x ll y.




A. Suppose m<5 = 69º. Find M<10.
B. Suppose m<4 = 114°. Find m<14.
C. Suppose m<5 = 86º. Find m<12.

Answers

Answer:

See below ~

Step-by-step explanation:

A.

m∠5 = m∠10 (alternate angles)m∠10 = 69°

B.

∠4 + ∠14 = 180° (∠14 is equal to ∠8 as they are corresponding, and ∠8 is supplementary to ∠4)∠14 = 180° - 114°∠14 = 66°

C.

∠5 = ∠12 (as ∠10 = ∠12 by alternate interior angles, and ∠10 = ∠5 as alternate angles)∠12 = 86°

#1

m<5 and m<10 are alternative and equal

m<10=69

#2

They are supplementary

114+m<14=180m<14=180-114=66

#3

Alternate angles are equal

m<12=86

Brandi bought a total of 9 lb of flounder and shrimp and paid $12 for the flounder and $12 for the shrimp. If the price per pound of the shrimp is twice that of
the flounder, how many pounds of each did she buy?
Select one:
O a. 6 lb shrimp and 3 lb flounder
O b.
3 lb shrimp and 6 lb flounder
O c.
4.5 lb shrimp and 4.5 lb flounder
O d.
2 lb shrimp and 7 lb flounder

Answers

The Anwser is A!! I hope you get a good score love!!!

solve for x. Show each step of the solution x/16 = 3/8

Answers

Answer:

x = 6

Step-by-step explanation:

x/16 = 3/8

Step 1: Cross-multiply.

x/16 = 3/8

x*(8) = (3)*(16)

8x = 48

Step 2: Divide both sides by 8.

8x/8 = 48/8

*Ta da!*

x = 6

- Have a great day! -

three people P, Q and R contribute to a fund. P provides 3/5 of the total, Q provides 2/3 of the remainder and R provides £8. Determine the total fund?​

Answers

Answer:

Let x be the total fund

[tex] \frac{3x}{5} + \frac{2}{3}(x - \frac{3x}{5} ) + 8 = x [/tex]

3x/5 + 2/3(2x/5) + 8 = x

3x/5 + 4x/15 + 8 = x

9x/15 + 4x/15 + 120/15 = 15x/15

9x+4x+120=15x

-2x= -120

x=60£

What is the vertex of the function f(x) = one-halfx2 + 3x + three-halves?

(
,
)

Answers

Answer:

the vertex is (-3 , -3)

Step-by-step explanation:

[tex]\frac{1}{2} x^{2}+3x+\frac{3}{2}[/tex]

[tex]=\frac{1}{2} \left( x^{2}+6x+3\right)[/tex]

[tex]=\frac{1}{2} \left[ \left( x+3\right)^{2} -9+3\right][/tex]

[tex]=\frac{1}{2} \left( x+3\right)^{2} -3[/tex]

then the vertex is (-3 , -3)

May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i​

Answers

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

simplify

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

equate real, imaginary parts

This resolves to the two equations ...

5x -3y = 3x +1-5y -3x = 6y -2solve the system

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

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Add.

6 5/6 + (−6 1/5)

This is a fraction, not a whole number negative sum.

Enter your answer as a simplified fraction in the box.

Answers

Answer:

19/30

Step-by-step explanation:

had this in an old problem in school

:D

hi there! if someone could answer my question about angles that would be great! see the image attached.

Answers

Answer:

your missing angle is 136

Step-by-step explanation:

equation used: 360 - (136 + 88) = 136

1. The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2kg. Given that
information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A. Compare the masses of the two samples to decide who is correct. State which person is correct and
explain your answer using mathematics.

Answers

Answer:

Given:

[tex]\textsf{Mass of Sample A}=2.4 \times 10^{-2}[/tex][tex]\textsf{Mass of Sample B}=3.6 \times 10^{2}[/tex]

As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.

Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):

[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]

To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:

[tex]\implies 1.5000 \times 10^4=15000[/tex]

(If the exponent is positive, move the decimal point to the right.  If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).

Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.

If William spins a spinner and it lands on a "C" 4 out of 7 times, how many times would you predict the spinner will land on a "C" if he spun it 91 times?

Answers

Answer:

52 times

Step-by-step explanation:

Probability (C) = 4/7

Multiply with 13 :

C : total = 13 x 4 : 13 x 7 C : total = 52/91

This means that if he spun it 91 times, then the spinner would be predicted to land on C 52 times.

Of the variables affecting your auto insurance, are any of them truly random variables?

Answers

The true statement about auto insurance is : ( D ) Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

What is Auto insurance ?

Auto insurance is a contract entered between a car owner or his representative with an insurance company, which protects the car owner from any financial losses arising from the damage or loss of the car. A premium is been paid as agreed between the car owner and the insurance company to keep the auto insurance active.

The premium amount varies from company to company.

In conclusion Auto insurance premiums can vary from company to company, therefore, it is important to comparison shop for the best price and coverage.

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Answers

Answer:

147

Step-by-step explanation:

Supplementary angles add to 180 total.

x + y = 180

x + 33 = 180

x = 147

Is the triangle with the lengths of 6, 7, and 9 a right triangle? (show work using Pythagorean theorem) Need to write the numbers in and show the calculation for credit.

Answers

Answer:

no

Step-by-step explanation:

6^2+7^2=9^2

36+49=81

no its not a right triangle

In the "Depositions for the Boston Massacre Trials," who does Captain Thomas Preston blame for the massacre?
A. Himself
B. the Citizens
C. The Soldiers
D. God

Answers

Answer:

B. The citizens

Step-by-step explanation:

When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers

Hope this helps! ;-)

A telescope company needs to choose a cardboard box to ship its product across the country. Use the information to answer each question below. Brainlest to whoever answers with work.

Answers

[tex]\bold{FULL SOLUTION:}[/tex]

Find the area of the Wrangle
The area of the triangle in square units 8 units 10 units

Answers

Answer:

The area is 40 units

Step-by-step explanation:

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