According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327. A random sample of 10 recent graduates from the small college was selected and the mean and standard deviation of the salary for those graduates was found. With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?
(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.
(B) There is convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(C) There is not convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327
(D) There is not convincing statistical evidence that the mean salary for the sample of 10 college graduates from the small college is greater than $45,327.
(E) There is not convincing statistical evidence that the graduates from this college will always eam more than $45,327.

Answers

Answer 1

Answer:

(A) There is convincing statistical evidence that the mean salary for all recent college graduates from the small college is greater than $45,327.

Step-by-step explanation:

According to the National Association of Colleges and Employers, the mean salary for a new college graduate is $45,327. A small college wants to know if the mean salary of their most recent graduates is greater than $45,327.

At the null hypothesis, we test if the mean salary is the expected salary of $45,327, that is:

[tex]H_0: \mu = 45327[/tex]

At the alternate hypothesis, we test if the salary is greater than the expected salary of $45,327, that is:

[tex]H_1: \mu > 45327[/tex]

With all conditions for inference met, a significance test was conducted and a p-value of 0.045 was obtained. Which of the following statements is the most appropriate conclusion using a significance level of a = 0.05?

The p-value of the test if 0.045 < 0.05, which means that there is sufficient evidence to accept the alternate hypothesis, that is, to conclude that the mean salary for all recent college graduates from the small college is greater than $45,327.

This means that the correct answer is given by option A.


Related Questions

Subtract 8−2x from 3−6x .

Answer in this format:

Answers

Answer:

[tex]4x + 5[/tex]

Step-by-step explanation:

[tex](8 - 2x) - (3 - 6x)[/tex]

[tex]8 - 2x - 1 \times 3 - (6x)[/tex]

[tex]8 - 2x - 3 + 6x[/tex]

[tex] - 2x + 5 + 6x[/tex]

[tex]4x + 5[/tex]

Hope it is helpful....

plz help 5th grade work

Answers

Answer:

I don't see where the question is...

Step-by-step explanation:

please help will mark brainlist!!​

Answers

Answer:

x=28

y=28

Step-by-step explanation:

Equation 1:

Dived both sides by 0.75 to remove 3/4 from x.

(x-12)=16

Now, add 12 to both sides.

x=28

Equation 2:

Same here, divide both sides by 0.75.

y-12=16

Add 12 to both sides.

y=28


The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
o(a) 1300
(b) 1310
(c) 1320
0 (d) 1000

Answers

Answer:

[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]

[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]

Answer:

1320

Step-by-step explanation:

round off

3209 ≈ 3210

1893 ≈ 1890

estimated difference = 3210 - 1890 = 1320

Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting

Answers

Answer:30 boys

Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.

Que sucede cuando dividimos un numero entre si mismo

Answers

Answer:

no pasa nada

Step-by-step explanation:

espero que eso te ayude:)

Answer:

Cualquier número dividido entre si mismo da como resultado 1

Name the three labeled segments that are parallel to EF

Answers

Answer:

Answer D

Step-by-step explanation:

The answer here is D since all of the other ones have at least one option that is perpendicular to segment EF.

Select all the statements about rotations that are true

A- The shapes of the figure does not change.

B- The positions of the figure does not change.

C- The size of the figure does not change.

D- The orientation of the figure does not change.

E- The coordinates of the figure do not change.

Please help I will give 100 points

Answers

Answer:

a. true

b. false

c. false

d. true

e. false

Step-by-step explanation:

A. true, a shape is not warped by a rotation

b. false, the points on the figure will change

c. false, the size is not affected by a rotation

d. true, the orientation changes in a rotation

e. false, the coordinate points on the figure are altered

Answer:

A- The shapes of the figure does not change.

C- The size of the figure does not change.

D- The orientation of the figure does not change

The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation​

Answers

Answer:permutations

Step-by-step explanation:

will give brainliest and 50 points
Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

Answers

when you divide -8/2=-4 and 2/2=1

-4<1

when you divide by a negative number your sign changes

4>-1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Answer:

see below

Step-by-step explanation:

When multiplying or dividing an inequality by a positive, the inequality remains the same direction

3x < 6

Divide by 3

3x/3 < 6/3

x <2

When multiplying or dividing an inequality by a negative, the inequality changes direction

-3x < 6

-3x/ -3 > 6/-3

x > -2

Find the measure of angle QZT.

Answers

Answer:    112

========================================================

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

TUUVVQ

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees

A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the

highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.

Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.

Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour

Answers

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

Hey Besties! Pls help! 50 pts!
Which is the graph of f(x) = one-fourth(4)x?

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (2, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 1. It curves up to the left and goes through points (1, 1) and (0, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (3, 2) and (4, 4).

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

Answers

The graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d) on a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and goes through points (1, 1) and (2, 4).

What are functions?

Functions are used to represent equation, graphs and tables

The equation of the function is given as:

[tex]f(x) = \frac 14(4)^x[/tex]

The above function is an exponential function that has an initial value of 1/4 and a rate of 4

When x = 2,

f(2) = 4

When x = 1,

f(1) = 1

Hence, the graph of the function [tex]f(x) = \frac 14(4)^x[/tex] is (d)

Read more about exponential functions at:

https://brainly.com/question/11464095

Answer:

graph one

Step-by-step explanation:

did it on ed .

A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?

Answers

Answer:

3

Step-by-step explanation:

Can somebody help me seriously

Answers

Answer: b

Step-by-step explanation:

I don't know but i am right

football team scores 42 points in 3
games. Find the unit rate

Answers

Answer:

14

Step-by-step explanation: divide..

Answer:

14 points per game

Step-by-step explanation:

42/3 = 14

Um gato come 5 ratos por dia. Quantos ratos 5 gatos comem em 5dias?​

Answers

Answer:

1 gato come 5 ratos em 1 dia X 5 = 5 gatos come 25 ratos por dia

5 gatos come 25 ratos por dia X 5 = 25 gatos come 125 ratos por dia

50 points!!!!! need answer ASAP

Answers

Answer:

the first option

Step-by-step explanation:

i believe

guys please help its my final either i pass or not

Answers

Answer:

Step-by-step explanation:

1 yes 2 no 3 no 4 yes 5 no

Answer:

1. yes

2. yes

3. no

4. yes

5. no

Step-by-step explanation:

go to mathwa* and type in the same equation and click to see if function or not.

gl on the final

this guy above me is wrong for #2

What is 17% of 13.00

Answers

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

The diameter of a pipe is 6 cm. If the pipe is 26 cm long, what is its volume?
Use the value 3.14 for π , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

i think this question answer is 734.76cm^3

A soccer ball is kicked from the top of a 64 ft building into the air at an initial speed of 48 ft/sec. Its flight as a functions of time can be modeled by: h(t)=−16t2+48t+64. After how many seconds, will the soccer ball hit the ground (h=0)?

Answers

Answer:

t = 4 seconds

Step-by-step explanation:

The height of a soccer ball as a function of time is given by :

[tex]h(t)=-16t^2+48t+64[/tex]

We need to find the time when the ball hit the ground i.e. h = 0

Put h = 0 in above equation. So,

[tex]-16t^2+48t+64=0\\\\16(-t^2+3t+4)=0\\\\-t^2+3t+4=0[/tex]

It is a quadratic equation such that,

t = -1 s and t = 4 s

Neglecting -1 s, the ball will hit the ground after 4 seconds.


A car traveled 11.5 miles in 15 minutes. How many miles per hour was it traveling?

Answers

Answer:

46 miles per hour

Step-by-step explanation:

ِAn hour has 60 minutes. In 60 minutes, there is four 15 minutes (4*15 = 60).

So, if it travelled 11.5 miles in 15 minutes, in an hour, it travelled 11.5 * 4 = 46 miles per hour.

The miles per hour he was travelling is 46 miles.

What is the miles per hour travelled?

The first step is determine the average speed. Average speed is the total distance travelled per time.

Average speed = total distance / total time

11.5 / 15 = 0.766667 miles / per minutes

Miles travelled = average speed x time

Miles travelled =  0.766667 x 60 = 46 minutes

To learn more about average speed, please check: https://brainly.com/question/21734785

Can someone answer this please

Answers

Answer:

<COB = 50°

Step-by-step explanation:

We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:

3x + 94 + x + 18 + 2x - 4 = 180

Then, we can combine like terms:

6x + 108 = 180

6x = 72

x = 12

We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:

m<COB = m<COD + m<DOB

m<COB = x + 18 + 2x - 4

m<COB = 3x + 14

We have the value of x, so we can substitute that in:

<COB = 3(12) + 14

<COB = 36 + 14

<COB = 50°

Find the surface area of the rectangular prism

Answers

I believe it would be 72cm^2

A pinwheel's four blades are all congruent right trapezoids.

4 in

2 in

2 in

What is the combined area of the four blades, in square inches?

Answers

Answer:

[tex]Area = 24\ in^2[/tex]

Step-by-step explanation:

Given

Let

[tex]a, b \to[/tex] opposite sides of each trapezoid

[tex]h \to[/tex] height

[tex]a = 2; \ \ \ b = 4 \ \ \ \ h = 2[/tex]

See attachment for trapezoids

Required

The combined area of the 4

First, we calculate the area of 1

[tex]Area = \frac{1}{2}(a + b) * h[/tex]

So:

[tex]A_1 = \frac{1}{2}(2 + 4) * 2[/tex]

[tex]A_1 = \frac{1}{2}*6 * 2[/tex]

Using a calculator

[tex]A_1 = 6[/tex]

The combined area is:

[tex]Area =n * A_1[/tex]

Where

[tex]n = 4[/tex] --- 4 blades

So:

[tex]Area = 4 * 6[/tex]

[tex]Area = 24\ in^2[/tex]

Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?

a. Draw a diagram that models the situation. Be sure to label it.










b. Write an equation that models the situation and solve it.

Answers

Answer:

good luck always brings luck the answer is 12

Step-by-step explanation:

x = 15, x = 5; (0.75)

Answers

Answer:

12

Step-by-step explanation:

12 is 75 of 15 %^%^%^%^^^___<<<7<

Have a nice day ..........

PLZZZ HELP!!! Brainliest to whoever can help!!! T^T

Answers

Answer:

I think it B

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

h=2x^2

b=5x^2+4x

we know that

area of triangle (A)=1/2×b×h

=1/2×2x^2×(5x^2+4x)

=x^2(5x^2+4x)

=5x^4+4x^3 square units

Which group of numbers could be the measures of the sides of a right
triangle?

Answers

Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

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