Use the t-distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from random samples, and if the sample sizes are small, assume the underlying distributions are relatively normal.

Test H0 : μ1=μ2 vs Ha : μ1≠μ2 using the sample results x⎯⎯1=15.3, s1=11.6 with n1=100 and x⎯⎯2=18.4, s2=14.3 with n2=80.
(a) Give the test statistic and the p-value.

Round your answer for the test statistic to two decimal places and your answer for the p-value to three decimal places.

Answers

Answer 1

The test statistics and the p-value from the research sampling will be 1.57 and 0.119.

What is test statistic?

It should be noted that a test statistic simply means a number that's used to describe how the observed value is far from the null hypothesis.

In this case, the test statistics is 1.57. The p value will be:

= 2 × 0.0593

= 0.119

Therefore, the test statistics and the p-value from the research sampling will be 1.57 and 0.119.

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Related Questions

Help help me help help please help help me help help please help help me help help please help help me help help please help

Answers

Answer:

Question 7:

Answer: f(2) = 4

Question 8: 3 + x

(x - 2)2 + (y +13)2 = 150

Center:
Radius:

Answers

Answer:

Center: (2, -13)

Radius: 5√6

Explanation:

Equation: (x - 2)² + (y +13)² = 150

Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewrite the equation:

(x - (2) )² + (y - (-13))² = (√150)²

Identify following's:

h = 2, k = -13, radius = √150 = 5√6

find the absolute value of the complex number 4+4i

Answers

Answer:

4√2

Step-by-step explanation:

complex no, z=√(a2+b2)

where, a=4 and b=4

z=√(4*4+4*4)

z=√(16+16)=√(32)

z=4√2

In the diagram ABC = AFGD. Complete each statement.

Answers

Answer:

Rotate the second triangle, so the 30° angles line up with each other (C and D). Then you should be able to fill in the corresponding sides.

AB ≅ FG

AC ≅ FD

∠B ≅ ∠G

∠A ≅ ∠F

AC = 60

m∠F = 60°

Hope this helps.

SOMEONE PLEASE HELP
Describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3sqrt x-h+k

Answers

Using translation concepts, it is found that the variable h shifts the function horizontally while the variable k shifts the function vertically.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The translated function is given by:

[tex]y = \sqrt[3]{x - h} + k[/tex].

The variables work as follows:

Variable h is in the domain, hence it changes the function horizontally.Variable k is in the range, hence it changes the function vertically.

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During the last year the value of your house decreased by 20%. If the value of your house is $265000 what was the value of your house last year? Round your answer to the nearest cent if necessary

Answers

Answer:

53000

Step-by-step explanation:

Can someone help me with this and pls explain how u did it if you’re able to I don’t need an explanation but it would be appreciated I’ll give brainliest if it’s correct

Answers

[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]

To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]

Result :-

The value of x is 40°.

Ahab jumped 2 times in 4 minutes. at that rate, how many times would he jump in 9 hours?

Answers

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

?/1
message
At the store in Michigan, a box of cookies is priced at $8.50. When Zach goes to the store he has a coupon for 30% off the box of cookies. In Michigan, there is a 4% sales tax. How much did Zach have to pay for the book?

Answers

Answer:

$5.72

Step-by-step explanation:

What is the correct answer for the problem 3.12 x 4.0

Answers

Hi Brielle the correct answer to your question is 3.12 x 4.0 = 12.48

12.48

Your answer should be 12.48 I hope that helps you

What is the answer to this question: 100 + 100?

Answers

100+ 100= 200
thats your answer

Answer:

200

Step-by-step explanate

100+100 = 200

used a calculator

What is the solution of the equation 3x + 5 + 2x - 12

Answers

Answer:

7/5

Step-by-step explanation:

3x + 5 + 2x - 12 = 0

5x - 7 = 0

5x = 7

x = 7/5

3x + 5 + 2x -12 = 5x -7 = 5/7


The width of the desk is 7 in. The perimeter of the desk is 63 in. What is
the length of the desk?

Answers

Perimeter of a Rectangle

The formula to find the perimeter of a rectangle is as follows:

[tex]P=2l+2w[/tex]

[tex]l[/tex] = length[tex]w[/tex] = width

Solving the Question

We're given:

[tex]w[/tex] = 7 inches[tex]P[/tex] = 63 inchesWe are solving for [tex]l[/tex]

⇒ Plug the given information into the perimeter formula and solve for l:

[tex]P=2l+2w\\63=2l+2(7)\\63=2l+14\\49=2l\\l=24.5[/tex]

Answer

Therefore, the length of the desk is 24.5 inches.

A prism is completely filled with 270 cubes that have edge length of 13
in.

What is the volume of the prism?

Answers

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

Answer: 593190 in^3

Step-by-Step Explanation:

No. of Cubes = 270
Edge Length (a) = 13 in
Volume = a^3

Therefore, Volume of one Cube :-
= a^3
= 13^3
= 13 * 13 * 13
= 2197

Therefore, Volume of Prism :-
= Volume of Cube * No. of Cubes
= 2197 * 270
= 593190

Volume of Cube = 2197 in^3
Volume of Prism = 593190 in^3

What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.

Answers

Answer:

21

Step-by-step explanation:

To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21


“for each expression find value that could be added as a constant term to make each expression a perfect square” these are two separate questions please help

Answers

Step-by-step explanation:

here you go hopefully it helps

I need help ASAP please

Answers

Than answer is C. Because 72+59=131 so 180-131=49 and the other angles a,d,and c have to add up to be 360 that’s why C. is the answer

Enter the answer to the problem below, using the correct number of significant figures.
30.01 + 5.55 + 80.761

Answers

Answer:

116.32100

Step-by-step explanation:

How do I do step by step

Answers

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

Factorise
x2 + 11x + 30
What is the answer

Answers

Answer:

it's 13x+30

Step-by-step explanation:

A rectangular prism has a length of 4 in., a width of 2 in., and a height of 2 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?



Enter your answer in the box.

Answers

Answer:

  160

Step-by-step explanation:

Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...

  length: 4 in ⇒ 4×2 = 8 cubes

  width: 2 in ⇒ 2×2 = 4 cubes

  height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes

Then the number of cubes required to fill the prism is ...

  8 × 4 × 5 = 160 . . . . cubes

The volume of the prism is equivalent to that of 160 1/2-inch cubes.

A 10-foot ladder placed on level ground leans against the side of a house. The ladder reaches a point that is 9.2 feet up on the side of the house. ( Answer options A and B and show your work). Will Mark Brainliest if answered correctly. ( Do Not Repost Someone Else's Answers That's Already On Brainly And Any Other Websites Or You'll Be Reported). If you can't help please do not leave a response thank you. ​

Answers

So

Let's see

sinA=Perpendicular/HypotenusesinA=9.2/10sinA=0.92A=sin^{-1}(0.92)A=66.9°

#B

So

We need base

cosA=Base/Hypotenusecos75=B/10B=10cos75B=2.58ft

Answer:

a) 67°

b) 2.6 ft

Step-by-step explanation:

Part (a)

This problem can be modeled as a right triangle (see attachment 1), where the wall and the ground are the legs, and the ladder is the hypotenuse. Therefore, we can use the sine trig ratio to find the angle.

Trig Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = xO = wall = 9.2H = ladder = 10

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \sin(x)=\dfrac{9.2}{10}[/tex]

[tex]\implies \sf x=\sin^{-1}\left(\dfrac{9.2}{10}\right)[/tex]

[tex]\implies \sf x=67^{\circ}\:(nearest\:degree)[/tex]

Part (b)

(see attachment 2)

Let y be the distance the foot of the ladder and the foot of the building

We can find y by using the cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

[tex]\theta[/tex] is the angleA is the side adjacent the angleH is the hypotenuse (the side opposite the right angle)

Given:

[tex]\theta[/tex] = 75°A = grounds = yH = ladder = 10

Substituting the given values into the ratio and solving for x:

[tex]\implies \sf \cos(75^{\circ})=\dfrac{y}{10}[/tex]

[tex]\implies \sf y=10\cos(75^{\circ})[/tex]

[tex]\implies \sf y=2.6\:ft\:(nearest\:tenth)[/tex]

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 11

Step-by-step explanation:

All the sides of a rhombus are equal, so you can set the equations equal to one another.

2x + 46 = 7x - 9

Subtract 2x from both sides

46 = 5x - 9

Add 9 to both sides

55 = 5x

Divide both sides by 5

x = 11

Mark my answer as the brainliest if it helped you out!

A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?

Answers

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

Kay is making bead necklaces. She has 80 red beads and 64 blue beads. What is the greatest number of identical necklaces she can make if Kay wants to use all of the beads?

Answers

Answer:

32

Step-by-step explanation:

80/2 = 40

64/2 =  32

so she can make about 32

HELP PLEASE HELP PLEASE

Answers

Answer:

  D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

  x is always 1/4

please help me asap!!
8. Compare the function g(x) modeled by the graph and the functionf (x) =
21x + 2) + 3.
True or false. Explain.
a) f(x) has a greater y intercept
b) g(1) > f(-1)
c) f(x) increases at a faster rate than g(x)over interval [0, 3).

Answers

Answer:

a) false

b) true

c) true

Step-by-step explanation:

Part (a)

The y-intercept of a function is the point when x = 0

⇒ f(0) = 2|0 + 2| + 3

          = 2|2| + 3

          = 4 + 3

          = 7

From inspection of the graph, the y-intercept of g(x) is (0, 7)

Therefore, the y-intercepts of f(x) and g(x) are the same.

"f(x) has a greater y-intercept" → false

Part (b)

From inspection of the graph, g(1) = 6

⇒ f(-1) = 2|-1 + 2| + 3

          = 2|1| + 3

          = 2 + 3

          = 5

Therefore,  g(1) > f(-1) → true

Part (c)

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

From inspection of the graph:

g(0) = 7

g(3) = 4

[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]

f(0) = 7  (from part (a))

f(3) = 2|3 + 2| + 3

     = 2|5| + 3

     = 10 + 3

     = 13

[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]

Function g(x) decreases over [0, 3] at the rate of -1

Function f(x) increases over [0, 3] at the rate of 2

Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true

**Please see the attached graph for reference**

The interval [0, 3] is shaded in grey

f(x) is shown in red

The added 2 points are f(-1) and g(1)

If f(x)= 5x-1 and g(x)=3x+2, find f(g(x)).
Pls help me!!

Answers

Answer:

15x+9

Step-by-step explanation:

f(g(x))

=f(3x+2)

=5(3x+2)-1

=15x+9

Triangle LMN was dilated to create L’M’N. The coordinates of the pre-image and the image are shown in the table belowL(0,4) M(0.8) N(5.10) L’(0,10) M’(0,20) N’(12.5,25) find the scale favor that used in the dilation record your answer on the gird

Answers

Answer:

L'M'N' is scaled by 2.5

Step-by-step explanation:

10 / 4 = 2.5

20 / 8 = 2.5

A manufacturer sells mirrors in the shapes of squares. The smallest size mirror the manufacturer sells has an area of 4 ft ^2. The largest size mirror has an area of 9 ft^2.

which graph represents the possible side lengths of the mirror sold by the manufacturer.

Answers

The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

How to determine the graph?

The given parameters are:

Shape = SquareSmallest area = 4ft²Largest area = 9ft²

The area (y) of a square of side length x is:

y = x²

Make x the subject

x = √y

When y = 9, we have:

x = √9 = 3

When y = 4, we have:

x = √4 = 2

This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

See attachment for the graph

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Other Questions
HELP ASAP!!!!"Too Fast"Batniks father was a great inventor. He had created many things that made peoples lives easier. One of his inventions was a car that could operate on both water and land; this car was Batniks favorite. On water, it could float and travel at speeds up to 80 miles per hour. But on land, it could travel at speeds over 200 miles per hour. Batniks father had created this special car to help people from their island get to the mainland and other islands faster. When Batnik's father was a boy, the only method of travel from one island to another was by ferry, and the trip often took hours. People who were sick and needed medical help from the mainland would have to endure the long crossing or not go at all because of delays. Batniks father loved his homeland and wanted to ease the burden on the people, so he created the water car.When he showed the car to Batnik, Batniks father warned Batnik that the car should not be driven at the maximum speed on land or water because the engine could burst into flame. One day when his father was away, Batnik decided that he wanted to show the car to his friends. He drove it on the water, at first going only half the possible speed. Then, as his excitement grew, he increased his speed on the water and was nearing maximum speed. When he reached the land, he continued to accelerate. His exhilaration grew. Like the mythological Greek boy Icarus, who flew too close to the sun, Batnik forgot his fathers warning and pushed the gas pedal to the floor. When the car exceeded 200 miles per hour, it burst into flames.In the myth of Daedalus and Icarus, Icarus becomes enraptured by the ability to fly, defies his father's order to not fly too close to the sun, and suffers dreadful consequences as a result.How is Batniks story in "Too Fast" like that of Icarus from the Greek myth?A) Both stories are about sons who improve their fathers inventions.B) Both stories are about boys who love to travel at great speeds.C) Both stories are about sons who suffer terrible fates after not following instructions.D) Both stories are about boys who are great inventors.Question 2Part AWhat is a theme in "Too Fast"?A) Sons tend to grow up to be like their fathers.B) It is natural and healthy to take risks.C) Ignoring instructions can result in tragedy.D) New technology is to be feared and avoided.Question 2Part B How is the theme identified in Part A best developed in the passage?A) Batniks fathers creates inventions to help others rather than himself.B) Batniks father foolishly leaves the immature Batnik alone with the car.C) Batnik destroys the car because he forgets his father's warning.D) Batnik disbelieves what his father tells him about the car's limitations.Question 3How is the character of Batnik's father in Too Fast similar to Pan in "Pan: God of the Wild"?A) Both help people with new inventions.B) Both have aspects of joy and terror.C) Both act in ways that cause the deaths of young people.D) Both travel throughout the world in unusual ways.Thank you so much! The functions f(x) and g(x) are described using the following equation and table:f(x) = 3(1.02)xx g(x)1 50 31 12 1Which statement best compares the y-intercepts of f(x) and g(x)? (5 points)Group of answer choicesThe y-intercept of f(x) is equal to the y-intercept of g(x).The y-intercept of f(x) is equal to 2 times the y-intercept of g(x).The y-intercept of g(x) is equal to 2 times the y-intercept of f(x).The y-intercept of g(x) is equal to 2 plus the y-intercept of f(x). Lansdowners back in England paid property taxes directly to the crown and voted for representatives in Parliament. Which combination does this represent? .a.) Internal taxation and virtual reprsentationb.) External taxation and actual representation c.) External taxation and virtual representation d.) 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What was the outcome of the opium wars _ Art seen in newspapers advertisements or on tv Which term refers to the way a composition is constructed?O A. BalanceO B. DynamicsC. FormO D. Tempo [tex]\huge\fbox\color{green}{Question}[/tex]What do you understand by a balanced budget?Thank you in advance~ + Nonsense = Reported Ellis always sticks to just one drink when going out with friends. what is the only option if ellis wants to stick to one standard serving of alcohol? a. a 16-ounce bottle of beer with 4.5% alcohol b. a 5-ounce glass of wine with 14% alcohol c. a 1.5 ounce shot of liquor with 40% alcohol d. a 12-ounce can of beer with 5.5% alcohol 3. Which aspect of professionalism do you feel that you are weakest at? Explain why you think so. Describe at least one thing you could do to improve at it. (1-3 sentences. 2.0 points) find the circumference