A researcher predicts that listening to music while solving math problems willmake a particular brain area more active. To test this, a research participant hasher brain scanned while listening to music and solving math problems, and thebrain area of interest has a percentage signal change of 58. From many previousstudies with this same math problems procedure (but not listening to music), it isknown that the signal change in this brain area is normally distributed with amean of 35 and a standard deviation of 10.
(a) Using the .01 level, what shouldthe researcher conclude? Solve this problem explicitly using all five steps of hypothesistesting, and illustrate your answer with a sketch showing the comparisondistribution, the cutoff (or cutoffs), and the score of the sample on this distribution.(b) Then explain your answer to someone who has never had a course in statistics(but who is familiar with mean, standard deviation, and Z scores).

Answers

Answer 1

Answer:

one equal to 5

Step-by-step explanation:

5x x 66


Related Questions

The price of a stock steadily decreased by a total of $123 over the past 14 months.

Answers

What happened when the stock decreased by $123?

Jim bought a new freezer last winter. When he plugged it in at noon the temperature
inside the freezer was 21°C. That night the temperature inside the freezer was -15°C. By
how many degrees Celsius did the temperature change?

Answers

Answer:

The temperature inside the freezer dropped 36°C.

Step-by-step explanation:

You need to subtract the new temperature from the old temperature to get the difference. That's a pretty cool freezer! (Pun intended!)

I hope this helps!

a store sells jump rope. Each jump rope cots the sa

Answers

You haven't finished the question.

You need to finish the question before it can be answered.

A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:a. The average index of elementary school children must be 60.69.b. The standard deviation of the sample is about 10% smaller than the population standard deviation.c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.e. 4.40 is 95% of the true average of the index for all elementary school children.f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.

Answers

Complete Question

A psychologist has designed an index to measure the social perceptiveness of elementary school children. The index is based on ratings of a child's responses to questions about a set of photographs showing different social situations. A random sample of 16 elementary school children was chosen, and their index measurements were recorded. Assume that the index measure in the population is normally distributed. The 95% confidence interval created from this data is (56.29, 65.09). This interval indicates:__________.Choose one or more:

a. The average index of elementary school children must be 60.69.

b. The standard deviation of the sample is about 10% smaller than the population standard deviation.

c. That if we take many samples from this population 95% of them will have a sample mean between 56.29 and 65.09.

d. 95% of all elementary school children in this district have indices between 56.29 and 65.09.

e. 4.40 is 95% of the true average of the index for all elementary school children.

f. We are 95% confident that the average index for all elementary school children is between 56.29 and 65.09.

Answer:

The correct option is  a and  f

Step-by-step explanation:

From the question we are told that

    The sample size is  n =  16

     The 95% confidence interval is  (56.29, 65.09)

Generally the sample mean(average index of elementary school children) is mathematically represented as

     [tex]\= x  =  \frac{65.09 + 56.29}{2}[/tex]

=>  [tex]\= x  =  60.69 [/tex]

 

A decimal is never a rational number

True
False

Answers

Answer:

False

Step-by-step explanation:

Decimals such as 1.2, 4.95, 2.28914 are all rational numbers.

If it doesnt end then its irrational, such as pi. but we know the exact amount of the numbers above therefore its rational. Also it can be put in fraction form which is another way to determine if rational or not.

I WILL PICK YOU BRAINLIEST PLS, help with this! no one has really answered any of my questions so if you could help me with this on that would be great

Answers

Answer:

A = 28 cm^2 (4+24)

B = 34 cm^2 (40-6)

C = 96 cm^2 (150-54)

D = 40 cm^2 (1/2(8*5) + 1/2(8+5))

Step-by-step explanation:

Answer:

Step-by-step explanation:

6y-2+x



I need Help Thursday 22 oct

Answers

Answer:

x+6y-2 is the simplfied answer

Step-by-step explanation:

"ect the best answer for the question.
- A polygon that has all sides the same measure and all angles the same measure is called what?

Answers

Answer:

Regular Polygon

Step-by-step explanation:

A polygon is a plane (two-dimensional) shape with straight sides.

Examples include triangles, quadrilaterals, pentagons, hexagons, etc.

A polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length) is called a Regular Polygon.

A DJ is preparing a playlist of 23 songs. How many different ways can the DJ arrange the first four songs on the​ playlist?

Answers

Answer:

Sample Response: The third DJ had (3r)/2 songs. Multiply r by 3 because the second DJ had 3 times as many as the first. Then divide that number by 2 because the third DJ has half as many.

DJ can arrange 88,55 times the first four songs on the playlist.

What is permutation and combination?

Permutation and combination are ways to arrange values in a set. In permutation the order of arrangement matters, but in combination the order of arrangement does not matter,

Given that,

DJ prepares a playlist of 23 songs.

Since, DJ arranges the first four songs on the playlist,

The ways to arrange the song on the playlist,

= [tex]^{23}C_4[/tex]

= 23 ! / (4! x (23 - 4)! )

= 23 ! / (4! x 19!)

= (23 x 22 x 21 x 20 x 19!) / (4 x 3 x 2 x 1  x 19!)

= 23 x 11 x 7 x 5

= 8855

There are 8,855 ways to arrange first 4 songs.

To know more about Permutation and Combination on:

https://brainly.com/question/13387529

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which of the following functions has a range of all real numbers?

Answers

Answer:

c

Step-by-step explanation:

The dots cannot intersect

help me please
*I select an answer, but I don't know if it's right or wrong*​

Answers

Answer:

yes your answer it right.... brainliest plsss

Find the value of x:

Answers

To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result. There you go!


What is the Slope of the line

Answers

Answer:

[tex]m=\frac{-3}{4}[/tex]

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-4-(-1)}{5-1}[/tex]

[tex]m=\frac{-4+1}{4}[/tex]

[tex]m=\frac{-3}{4}[/tex]

four ponds of banana cost $2.60. what is the cost perpond?

Answers

Answer:

.65c

Step-by-step explanation:

2.60/4 equals .65

Answer:

.65

Step-by-step explanation:

2.06 divided by 4=.65

Hope this helped!

What are the solutions to the quadratic equation below?
3x2 +16x + 21 = 0

Answers

X=-7/3,-3
Pls mark brainliest

Answer:

-3 and -7/3

Step-by-step explanation:

You could solve by factoring.

To do that, you find 2 numbers that multiply to 21, but add up to 16 when you multiply one of them by 3.

In this case, 3 and 7 would work, because 3*3 + 7 = 16, and 3 * 7 = 21.

Therefore, we can factor the equation to (3x+7)(x+3).

The solutions of the equations are -3 and -7/3.

Solve the system of equations 2x-4y=-2 and -x+8y=-23 by combining the equations.

Answers

Answer:

(−9,−4)

Step-by-step explanation:

-68 divided (-4)


Help ASAP

Answers

Answer:

Two negatives = positive (17)

Step-by-step explanation:

Answer:

Today: Wednesday, 14 October 2020

Hour: 12.58 WIB

______________________________

-68 divinded (-4) is 17

What is 1 1/2 + 3 7/8

Answers

Answer:

5 3/8

Step-by-step explanation:

Hi there !

1 1/2 + 3 7/8 =

= (1×2+1)/2 + (3×8+7)/8

= ⁴⁾3/2 + 31/8

= 12/8 + 31/8

= (12 + 31)/8

= 43/8

= 5 3/8

Good luck !

-2x(x+12)+3(x+12) please please

Answers

-2x^2 - 21x + 36 yayyy

The angle represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then . If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then . In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer:

the weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

This is the word for word answer but be careful and don´t copy it exactly!! paraphrase the answer using your own words

Solve the problem.
Two forces of 575 newtons and 271 newtons act at a point. The resultant force is 657 newtons. Find the angle between the forces.

Answers

The resultant force is

→F=321.9N at−165.4°

The equilibrant is

→Feq=321.9N at14.6°

Explanation:

This problem requires that we resolve the force vectors into x- and y-components.

Once this is done, we can add the components easily, as the one 2-dimensional problem will be two 1-dimensional problems.

Finally, we will convert the resultant force into standard form and find the equilibrant.

Resolve into components:

F1x=F1cos180°=215(−1)=−215N

F1y=F1sin180°=0N

F2x=F2cos(−140°)=126(−0.766)=−96.5N

F1y=F1sin(−140°)=126(−0.643)=−81.0N

Note the change of the angle used to give the direction of F2. Standard angles (rotation from the x-axis; counterclockwise is +) should be used to avoid sign errors in the results.

Now, we add the components:

Fx=F1x+F2x=−311.5N

Fy=F1y+F2y=−81.0N

Technically, this is the resultant force. However, it should be changed back into standard form. Here's how:

F=√(

Find the product of 7 and 4.76.

Answers

Answer:

33.32

Explantion: 7x4.76

I think the answer is 33.32 because I solved it a few times and got the same answer

What is the correct answer? please

Answers

Is there choices for your question

Mai ran 1/4 of the length of her road, which is 9 miles long. How long did Mai run?

Answers

Answer:2.25

Step-by-step explanation:

If the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

It is given that,

Length of road = 9 miles

From the condition,

Mai ran 1/4 of the length of her road

Mai ran =  1/4 × length of her road

Mai ran =  1/4 × 9

Mai ran =  2.25 miles.

Thus, if the length of the road is 9 miles long and Mai ran 1/4 of the length of her road. Mai ran 2.25 miles.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

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Help please will give brainlest!!!

Answers

Answer:

1.55 or 31/20 which is 1 11/20 gallons

Step-by-step explanation:

Create and solve a quadratic equation that has 1 real solution

Answers

Answer:

x^2 - 4x + 4 = 0

x = 2

Step-by-step explanation:

(x - 2)(x - 2) = 0

x^2 - 2x - 2x + 4 = 0

x^2 - 4x + 4 = 0

The equation is:

x^2 - 4x + 4 = 0

It is a quadratic equation because of the x^2 term.

Now we solve it by factoring.

x^2 - 4x + 4 = 0

(x - 2)(x - 2) = 0

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2

The only solution is x = 2.

How much candy will each person get if 5 people share 6 1/2 pounds of Swedish fish.

Answers

Answer:

1 3/10 pounds of candy. Or around 1 pound

Step-by-step explanation:

6 1/2= 6.5

6.5/5=1.3

1.3 as a fraction is 1 3/10

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different​ prizes: an automobile valued at ​$​, a ​$ gas​ card, or a ​$ shopping card. To claim his or her​ prize, a prospective customer needed to present the flier at the​ dealership's showroom. The fine print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of ​, the chance of winning the gas card was 1 out of and the chance of winning the shopping card was out of 31,866​, the chance of winning the gas card was 1 out of 31,866, and the chance of winning the shopping card was 31,864 out of 31,866.

Required:
a. How many fliers do you think the automobile dealership sent​ out?
b. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the expected value of the prize won by a prospective customer receiving a​ flier?
c. Using your answer to​ (a) and the probabilities listed on the​ flier, what is the standard deviation of the value of the prize won by a prospective customer receiving a​ flier?

Answers

Answer:

(a) 31101

(b) $5.65

(c) $113.38

Step-by-step explanation:

The complete question is:

A regional automobile dealership sent out fliers to prospective customers indicating that they had already won one of three different prizes: an automobile valued at $20,000, a $125 gas card, or a $5 shopping card. To claim his or her prize, a prospective print on the back of the flier listed the probabilities of winning. The chance of winning the car was 1 out of 31,101, the chance of winning the gas card was 1 out of 31,101, and the chance of winning the shopping card was 31, 099 out of 31,101.

Solution:

The information provided is as follows:

[tex]P(\text{Car})=\frac{1}{31101}\\\\P(\text{Gas Card})=\frac{1}{31101}\\\\P(\text{Shopping Card})=\frac{31099}{31101}[/tex]

(a)

The number of fliers the automobile dealership sent​ out is, n = 31,101.

This is because the probability of winning any of the three prize is out of 31,101.

(b)

Compute the expected value of the prize won by a prospective customer receiving a​ flier as follows:

[tex]E(X)=\sum x\times P(X=x)[/tex]

         [tex]=[20000\times \frac{1}{31101}]+[125\times \frac{1}{31101}]+[5\times \frac{31099}{31101}]\\\\=0.6431+0.0040+4.9997\\\\=5.6468\\\\\approx 5.65[/tex]

Thus, the expected value of the prize won by a prospective customer receiving a​ flier is $5.65.

(c)

Compute the standard deviation of the prize won by a prospective customer receiving a​ flier as follows:

[tex]SD(X)=\sqrt{V(X)}=\sqrt{E(X^{2}-(E(X))^{2}}[/tex]

           [tex]=\sqrt{[(20000)^{2}\times \frac{1}{31101}+(125)^{2}\times \frac{1}{31101}+(5)^{2}\times \frac{31099}{31101}]-(5.65)^{2}}\\\\=\sqrt{12854.9011}\\\\=113.37947\\\\\approx 113.38[/tex]

Thus, the standard deviation of the prize won by a prospective customer receiving a​ flier is $113.38.

A 7,000-seat theater is interested in determining whether there is a difference in attendance between shows on Tuesday evening and those on Wednesday evening. Two independent samples of 25 weeks are collected for Tuesday and Wednesday. The mean attendance on Tuesday evening is calculated as 5,500, while the mean attendance on Wednesday evening is calculated as 5,850. The known population standard deviation for attendance on Tuesday evening is 550 and the known population standard deviation for attendance on Wednesday evening is 445. Which of the following is the value of the appropriate test statistic?A. z = -2.4736B. z = 2.4736C. tdf=−2.4736D. td f=2.4736

Answers

Answer:

A. z = -2.4736

Step-by-step explanation:

n1 = 25

n2 = 25

x1 = 5500

x2 = 5850

Sd1= 550

Sd2 = 445

Null hypothesis

μ1 - μ2 = 0

Alternate

μ1 - μ2 != 0

Pooled variance = ((25-1)*550²)+((25-1)*445²)/25+25-2

= 7260000+4752600/48

= 250262.5

Pooled sd = √250262.5

= 500.26243

Test statistic

Z =

5500-5850+10/500.26243*√1/25+1/25

= -2.47357 approximately

-2.4736

What are dot plots used for?

A. Dot plots are best used to show a distribution of data.

B. Dot plots are best used to show answers to a non-statistical question.

C. Dot plots are best used to help you ask questions.

D. Dot plots are best used to help you tally data.

Answers

Answer:

A

Step-by-step explanation:

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