Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 2.5 % beyond them in each tail if the samples have sizes ni 14 and n2 = 28.

Answers

Answer 1

The endpoints of the t-distribution with 2.5% beyond them in each tail are: t* = ± 2.021.

In order to find the endpoints of the t-distribution with 2.5% beyond them in each tail, for samples of sizes n1= 14 and n2 = 28, given that samples are random and the distributions are normally distributed, we will use the t-distribution to answer this question.

The formula used to determine the endpoints of the t-distribution is given as follows:

t* = ± t(α/2, df),

where the degrees of freedom used are

df = n1 + n2 - 2

and

α = 0.025 (because we want 2.5% beyond the endpoints in each tail).

Substituting in the values of n1 and n2, we have df = 14 + 28 - 2 = 40.

Using a t-distribution table or a calculator, we can determine that the t-value for α/2 with 40 degrees of freedom is t(0.025/2, 40) = ± 2.021.

Therefore, the endpoints of the t-distribution with 2.5% beyond them in each tail are:

t* = ± 2.021.

The answer is: t* = ± 2.021.

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Related Questions

2. Including the outlier, what is the Q1, Q3, and IQR of the data set?
id
A.Q1 = 29; Q3 = 29; IQR = 2
B.Q1 = 27; Q3 = 29; IQR = 28
C.Q1 = 28; Q3 = 27; IQR = 1
D.Q1 = 27; Q3 = 29; IQR = 2
2 hot

Answers

Letter b.
I am very good at explaining

ill give brainliest

Write and solve the equation for the following situation:

Angles 1 and 2 are complementary. The measure of angle 1 is 16° larger than the measure of angle 2.

A. x + 16 = 90 x = 74

B. x + (x - 16) = 90 x = 53

C. 2x + 16 = 90 x = 37

D. x + 16 = 180 x = 164​

Answers

C. For sure. Hope it helps

When you submit this form, the owner will see your name and email address.

1

Problem 1.

The force system shown is to be replaced with an equivalent system consisting of a horizontal force applied at b and a vertical force applied to the horizontal leg.

1.1. What is the magnitude of the vertical force, in Newton, applied to the horizontal leg? (rounded-off to the nearest whole number; do not write the unit)

Answers

The magnitude of the vertical force applied to the horizontal leg in the equivalent force system.

To determine the magnitude of the vertical force applied to the horizontal leg, we need to find the vertical component of the given force system. Looking at the diagram, we observe that the force system consists of a vertical force at point A and a horizontal force at point B. We can use trigonometry to find the vertical component of the force at point A.

Let's denote the magnitude of the force at point A as F_A and the angle it makes with the horizontal leg as θ. The vertical component of the force can be calculated using the formula: Vertical component = F_A * sin(θ).

Since the vertical component of the force should be equal to the force we are trying to find, we can set up the equation: Vertical component = F_vertical.

Now, we can substitute the given values into the equation and solve for F_vertical. Once we have the value, we can round it off to the nearest whole number, as instructed.

Please note that without specific values or angles provided in the problem statement or accompanying diagram, it is not possible to provide a precise numerical answer.

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the annual
The present population of
of a town is 66550. If the annual population growth
rate is 10% what was
the Population growth of town 3 years ago ?

Answers

Answer:

Population (t=-3)= 50,000

Step-by-step explanation:

Giving the following information:

Annual growth rate (g)= 10%

Number of periods (n)= 3 years

Present Value (PV)= 66,550 people

To calculate the population three years ago, we need to use the following formula:

Population (t=-3)= PV / (1 + g)^n

Population (t=-3)= 66,550 / (1.1^3)

Population (t=-3)= 50,000

What is 1/4 of 32? Whoever answers first gets Brainliest.

Answers

Answer:

8

Step-by-step explanation:

it is

Answer:

8

Step-by-step explanation:

1/4 of 32

1/4 = 25%

25% of 32

32 × 25 ÷ 100

= 8

or

32 ÷ 4 =8

Catherine Destivelle was the first woman rock climber to complete a solo ascent in 1992. She is helping to design an inside rock-climbing wall on which other climbers can practice. She draws the figure
below on the coordinate grid to represent part of the wall. Each square represents one foot

Answers

Answer:

count the unit squares

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

What is the value of x?

Answers

Answer:

A

Step-by-step explanation:

the total angles can only add up to 180°, therefore 35 + 70 = 105, 180 - 105 = 75°. 75° = A.

find Measure angle WZY QUICK PLEASE

Answers

Answer:

<WZY = 31°

Step-by-step explanation:

First, we can see that <XZW is equal to <WZY.

Given that, we know we can set the two equations equal to each other to find "x".

8x - 1 = 5x + 11

Now that the two equations are set equal to each other, all we have to do is simplify to find x.

Bring 5x over and subtract it from 8x.

3x - 1 = 11

Bring -1 over and add it to 11.

Since you're subtracting a negative, it becomes positive allowing you to add it to 11.

3x = 12

Now you need to get x by itself. Do do that, you need to divide three by itself, and whatever you do to one side, you must do to the other.

3x/3 = 12/3

Now you have:

x = 4

____________________________________________________

Now that you know the value of x, all you need to do is plug x back into the equation for <WZY

5(4) + 11

20 + 11

31.

And there is your answer - <WZY = 31°

I would love some help pls, if anyone could talk me through it, that would be phenomenal I have no clue what’s going on lol

Answers

Answer:

B) 7x - 3 = 4

Step-by-step explanation:

3x - 12 = -9

3x = 3

x = 1

A) NOPE

x - 5 = -6

x = -1

B) YES

7x - 3 = 4

7x = 7

x = 1

Please help I will give 20 points if right

Answers

Answer:

for my own advice you should add those numbers then that Square unit if she's there it's 90° so you should find the area of the polygon which that thing when you come this sides you get the number of the polygon with your plus then by those numbers then he write his equals to 90 degree then you'll get your answer thank you

How many solutions does the equation 3(x-5)-7=-3x8 have

Answers

Answer:

not really good at maths. 15.33

Step-by-step explanation:

3(x-5)-7=3×8

3x-15-7=24

3x =24+15+7

3x = 46

Three will divide it's self to give you one and divide 46 to give you 15.333

(correct me if i'm wrong)

Korey kept track of the number of miles he ran each week for five weeks. The median number of miles he ran during the five weeks was 20, and the mean was 21. Which list could show the number of miles Korey ran each of the five weeks?

Answers

Options:

A. 18, 20, 20, 22, 25

B. 20, 20, 20, 25, 25

C. 16, 19, 21, 22, 22

D. 20, 20, 21, 22, 22

Answer:

A. 18, 20, 20, 22, 25

Step-by-step explanation:

Required

Which list has a mean of 21 and median of 20

Each of the list have 5 numbers and they've all been sorted.

The median is the number at the 3rd position (i.e. the middle number)

So, list C and D are out because they do not have a median of 20.

Next, calculate the mean of lists A and B

[tex]\bar x = \frac{\sum x}{n}[/tex]

A. 18, 20, 20, 22, 25

[tex]\bar x = \frac{18 + 20 + 20 + 22 + 25}{5}[/tex]

[tex]\bar x = \frac{105}{5}[/tex]

[tex]\bar x = 21[/tex]

B. 20, 20, 20, 25, 25

 [tex]\bar x = \frac{20 + 20 + 20 + 25 + 25}{5}[/tex]

[tex]\bar x = \frac{110}{5}[/tex]

[tex]\bar x = 22[/tex]

Only list A has a median value of 20 and a mean value of 21

Let X = {a, b, c) and A = {4, X, {a}, {b,c}}, Ag = {4, X, {b}, {a, c}} be two o-algebras over X. Then a. An.A, is not a o-algebra over X. b. An A, is a o-algebra over X and A, UA, is not a g-algebra over X. c. A, UA, is a o-algebra over X. d. None of the above. O O b. e. O d. a Let (X, 4) be a measurable space and let f, g: X → R be two mea- surable functions. Which of the following statements is false? a. 52 . 108>1] + \S1g

Answers

An A is a -algebra over X and A ∪ Ag is not a -algebra over X.

In this case, let's analyze the properties of the sets in question:

X = {a, b, c}

A = {4, X, {a}, {b, c}}

Ag = {4, X, {b}, {a, c}}

To determine if An A is a -algebra over X, we need to check if it satisfies the three conditions of a -algebra:

1. X ∈ An A: In this case, X = {a, b, c} ∈ An A, since X is a subset of itself.

2. An A is closed under complementation: For any set E ∈ An A, we need to ensure that its complement, X \ E, is also in An A. Let's check the sets in A:

- {4} ∈ An A: The complement is X \ {4} = {a, b, c}, which is not in An A.

- X ∈ An A: The complement is X \ X = ∅, which is in An A.

- {a} ∈ An A: The complement is X \ {a} = {b, c}, which is in An A.

- {b, c} ∈ An A: The complement is X \ {b, c} = {a}, which is in An A.

Since not all sets in A have complements in An A, An A is not closed under complementation and therefore not a -algebra over X.

Now let's analyze A ∪ Ag to determine if it is a -algebra over X:

1. X ∈ A ∪ Ag: Since X is a subset of itself, X ∈ A ∪ Ag.

2. A ∪ Ag is closed under complementation: For any set E ∈ A ∪ Ag, we need to ensure that its complement, X \ E, is also in A ∪ Ag. Let's check the sets in A and Ag:

- {4} ∈ A ∪ Ag: The complement is X \ {4} = {a, b, c}, which is in A ∪ Ag.

- X ∈ A ∪ Ag: The complement is X \ X = ∅, which is in A ∪ Ag.

- {a} ∈ A ∪ Ag: The complement is X \ {a} = {b, c}, which is in A ∪ Ag.

- {b, c} ∈ A ∪ Ag: The complement is X \ {b, c} = {a}, which is in A ∪ Ag.

Since all sets in A and Ag have complements in A ∪ Ag, A ∪ Ag is closed under complementation and is a -algebra over X.

In conclusion, option b is the correct answer: An A is a -algebra over X, and A ∪ Ag is not a -algebra over X.

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Three angles of a quadrilateral measure 45°, 95°, and 111°. What is the measure of the fourth angle of the quadrilateral?​

Answers

Answer:

109°

Step-by-step explanation:

sum of angles of a quadrilateral=360°

45+95+111+fourth angle=360

fourth angle=360-251=109°

A polynomial of degree 3 is multiplied by a polynomial of degree 5. What is the degree of the product?

Answers

Answer:

8

Step-by-step explanation:

The degree of a polynomial refers to the term with the highest exponent.  Thus the highest exponent in a degree 3 polynomial is x3; for a degree 5 polynomial, it's x5.  When you multiply

x3*x5 = x3+5 = x8.  

So the product of a degree 3 polynomial and a degree 5 polynomial is a degree 8 polynomial.

Your leading term will result from the 3-degree term of the first polynomial, and the 5-degree term of the second.  So you'll have something like ax3 * bx5.  That will result in x3*x5=x8, so your product will have degree 8.

Question 10 of 10
In a unit circle, 0 = 3pi/2 radians. What is the terminal point?
A. (0,1)
B. (1,0)
C. (-1,0)
D. (0, -1)

Answers

I think it’s D (sorry if you get it wrong)

The terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

We have:

In a unit circle, θ = 3π/2 radians.

r = 1

Angle θ = 3π/2

The terminal point is (rcosθ, rsinθ)

= (cos3π/2, sin3π/2)

= (0, -1)

Thus, the terminal point is (0, -1) if in a unit circle the angle is 3π/2 option (D) is correct.

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On a coordinate plane, a triangle is located at (3, 4), and a square is located at
(10, 4). What is the distance between the square and triangle?

Answers

Answer:

7

Step-by-step explanation:

Answer:

7 units north

Step-by-step explanation:

Count from 3,4 to 10,4 and there are seven units


Bryce is testing whether school is more enjoyable when students are making high grades. He asked 100 students if they enjoyed school and whether their GPA was
above or below 3.0. He found that 33 of the 40 students with a GPA above 3.0 reported that they enjoyed school, and 5 of the 60 students with a GPA below 3.0
reported that they enjoyed school. What is the probability that a student with a GPA below 3.0 does not enjoy school?

Answers

Hiiiiiiii The answer would be D

The equations of two lines are:
2x-y=4 and y=-2x+8.
What is the value of x in the solution for this system?

Answers

Answer:

x = 3

Step-by-step explanation:

2x - y = 4

y = -2x + 8

-y = -2x + 4

y = -2x + 8

0 = -4x + 12

-4x = -12

x = 3








Use Cramer's vale to solve the following system of equation: J2X1 - X2-3 = 0 ./) X1 + 3X2-7= 0 3X1 + 2X2-1=0 4X1 + 5X2 = 14

Answers

Using Cramer's rule the solutions to the system of equations are:

X1 = 21 / (-J2 - 9)

X2 = -12 / (-J2 - 9)

Using Cramer's rule, we can solve the system of equations:

J2X1 - X2 - 3 = 0

X1 + 3X2 - 7 = 0

3X1 + 2X2 - 1 = 0

4X1 + 5X2 = 14

The values of X1 and X2, we'll calculate the determinants.

Let D be the determinant of the coefficient matrix:

D = |J2 -1 0| = J2(-1) - 3(3) = -J2 - 9

D1 is the determinant obtained by replacing the first column of the coefficient matrix with the constants:

D1 = |0 -1 0| = 0(-1) - (-7)(3) = 21

D2 is the determinant obtained by replacing the second column of the coefficient matrix with the constants:

D2 = |J2 0 0| = J2(0) - 3(4) = -12

Now, we can calculate the values of X1 and X2 using the determinants:

X1 = D1 / D = 21 / (-J2 - 9)

X2 = D2 / D = -12 / (-J2 - 9)

Therefore, the solutions to the system of equations are:

X1 = 21 / (-J2 - 9)

X2 = -12 / (-J2 - 9)

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Help fastttt someone pls and no files will block you

Answers

I believe h is the answer

x^2-8x+15
expresión racional ​

Answers

Answer:

x = 3, 5

Step-by-step explanation:

(x - 3)(x - 5) = 0

2.
Is (x+2) a factor of r + 8x + 12

Answers

Answer:

no because it is not factorable

Step-by-step explanation:

let f(x) = x2/3 + 4x, then by the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x) so we are looking for the function F whose derivative is x2/3 + 4x.
By the power rule, the function F (whose derivative is x2/3 + 4x) would have to be an x3 and an x2 function since the power rule reduces the exponent by 1. But notice that if it was just x3 and x2 then the derivative of that would be 3x2 and 2x while f(x) is x2/3 + 4x. That means F(x) must be composed of x3/9 and 2x2 so the derivative turns out right.
The Fundamental Theorem of Calculus also states that 0∫b f(x)dx = F(b) - F(0) therefore we can say 0∫b f(x)dx = (b3/9 + 2b2) - (03/9 + 2(0)2) which is just b3/9 + 2b2

Answers

By the Fundamental Theorem of Calculus where F(x) = ∫f(x) then F'(x) = f(x).

We are looking for the function F whose derivative is x^(2/3) + 4x.

By the power rule, the function F (whose derivative is x^(2/3) + 4x) would have to be an x³ and an x² function since the power rule reduces the exponent by 1.

The derivative of x^3 is 3x² and the derivative of 2x² is 4x. As F'(x) = x^(2/3) + 4x.

But notice that if it was just x^3 and x^2 then the derivative of that would be 3x² and 2x while f(x) is x^(2/3) + 4x.

That means F(x) must be composed of x^(2/3+1)/(2/3+1) and 2x^1/(1+1) so the derivative turns out right.Hence, the function F(x) = 3x^(5/3)/5 + 2x^2/2 = 3x^(5/3)/5 + x^2.

The Fundamental Theorem of Calculus also states that ∫(from 0 to b) f(x)dx = F(b) - F(0).

Therefore we can say 0∫b f(x)dx = (b^(3/9) + 2b²) - (0^(3/9) + 2(0)²) which is just b^(3/9) + 2b².

Hence, the answer is b^(3/9) + 2b².

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The speed of a garden snail is about 8.5×10−6 miles per second. If a garden snail moves at this speed in a straight line for 2×103 seconds, how far would the snail travel in standard notation and scientific notation.

Answers

Answer:

17*10^-3 miles

Step-by-step explanation:

Given data

Speed= 8.5×10^−6 miles per second

Time taken=2×10^3 seconds

We know that the expression for the speed is given as

speed= distance/time

distance= speed* time

substitute

distance= 8.5×10^−6* 2×10^3

distance= 8.5*2*(10^-6+3)

distance= 17*10^-3 miles

Find the value of x to the nearest tenth.

Answers

Answer:

2.8

Step-by-step explanation:

√(4² - 2²) = √12

=> √[(√12)² - 2²] = √8 ≈ 2.8

Find the surface area.
24 in.
40 in.
10 in.
26 in.
NEED HELP ASAP!!

Answers

Answer:

200

Step-by-step explanation:

You read that a nationwide survey found that the preferences for ice cream (people had to
choose ONE) are: chocolate: 31%; vanilla: 25%; strawberry: 4%; cookie dough: 17%; and "other":
23%. You live in Berryville, where growing strawberries is a major industry. You suspect that
this may affect the distribution of preferences in your area. You get a sample of 500 Berryville
residents and have them make a choice.

a. State the null hypothesis in words. b. State the alternative hypothesis in words

Answers

Answer : Null Hypothesis (H0) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”

Alternative Hypothesis (Ha) The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”

Explanation :

a. Null Hypothesis (H0) is a statement which suggests that there is no significant difference between two populations or samples in the study. In this scenario, the null hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is equal to or greater than the national average of 4%.”

b. Alternative Hypothesis (Ha) is a statement that counters the null hypothesis by suggesting that there is a significant difference between two populations or samples in the study. In this scenario, the alternative hypothesis can be stated as follows:“The proportion of people choosing strawberry as their preferred flavor of ice cream in Berryville is significantly lower than the national average of 4%.”

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The box part of the box plot contains all the values between whích numbers?

25

30

35

40

45

50

between 27 and 36 and between 37 and 40

between 32 and 36

between 32 and 37

between 27 and 32 and between 37 and 40

Answers

Answer:

between 32 and 37

Step-by-step explanation:

that's my answer

What is a scatterplot?

a graph showing the relationship between two sets of data
a relationship between two variables
a data point that does not fit the general pattern in the data
a group of data points around a value

Answers

Answer:

a graph showing the relationship between two sets of data

Step-by-step explanation:

A graph showing the relationship
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What is Haccp stand for Catherine Destivelle was the first woman rock climber to complete a solo ascent in 1992. She is helping to design an inside rock-climbing wall on which other climbers can practice. She draws the figurebelow on the coordinate grid to represent part of the wall. Each square represents one foot What is the value of x? To maximize profits, a perfectly competitive firm should do all the following except. 2. Including the outlier, what is the Q1, Q3, and IQR of the data set?idA.Q1 = 29; Q3 = 29; IQR = 2B.Q1 = 27; Q3 = 29; IQR = 28C.Q1 = 28; Q3 = 27; IQR = 1D.Q1 = 27; Q3 = 29; IQR = 22 hot please help me asap ill give brainilist On a coordinate plane, a triangle is located at (3, 4), and a square is located at(10, 4). What is the distance between the square and triangle? The Soviet Union placed missiles in Cuba in order to [___] the island of Cuba.1. Attack2. Conquer3. Colonize4. Defend Edhesive 2. 5 Coding Practice (we are using Python)I have to copy and paste the following code and modify the code so that it asks the user to multiply two random numbers from 1 to 10 inclusive. I am unsure how to do this. import randomrandom. Seed()# TODO: Update the following two lines with a call to a function# from the random library that generates a random number between# 1 and 10, inclusive. a = 6 # HINT: Replace 6 with a function callb = 3 # HINT: Replace 3 with a function callprint ("What is: " + str(a) + " X " + str(b) + "?") ans = int(input("Your answer: ")) if (a * b == ans): print ("Correct!") else: print ("Incorrect!") I would love some help pls, if anyone could talk me through it, that would be phenomenal I have no clue whats going on lol 2.Is (x+2) a factor of r + 8x + 12 Marcus Ziegler is a consultant specialist for an electronic components firm based in Germany. He was given the responsibility by his employer to negotiate with the Melaka state government regarding the various facilities and incentives offered. Among the offers provided are an industrial site in the Ayer Keroh Industrial Zone, manpower services, and other infrastructure facilities. The industrial site can either be rented for an amount of RM20,000 a month or can be purchased for RM4 million. Concurrently, a glove company from Japan, namely Matsushi Corporation is also interested in the offers provided by the state government. The company, which is represented by their consultant, Michiko Ogata, is willing to purchase the industrial site for the price of RM6 million. Given the situation described, by applying the 'lose-win' strategy in Negotiation Skills, explain what action can Ziegler takes if Ogata is willing to offer the price from RM6 million to RM10 million. Is it worth for him to compete with Ogata in that condition? Justify your answers and provide relevant examples. (15 marks) manifest destiny was justified because..... Which of the following could be an example of chemical weathering?a. rocks tumbling against each other b. water seeping into the ground, dissolving the limestone to form a cavec. a waterfall boring out a whole in a rock under it declan is on the cheerleading squad and is often given parts that involve catching other cheerleaders who have jumped from high places. declan has no problem catching his teammates, but he worries that doing it by himself might cause him to drop someone. to protect himself and his teammates from risk, what should declan do? What is 1/4 of 32? Whoever answers first gets Brainliest. there are 60 in in 5 feet how many inches are in 8 ftA. 63 in B. 72 inC. 96 inD. 80 in chapter 11 in the owl call my name what 'gift' does the tribe offer to Mark? Why is the caurious waiting now over what was the fight over every new territory A.would they be industrializedB.what their boundaries would be C. would they be free or slave D.how many representatives they would have What is the common ratio of the geometric sequence below 18,-6,2,-2/3