In order to determine whether or not there is a significant difference between the mean hourly wages paid by two companies (of the same industry), the following data have been accumulated.

Company A Company B
Sample size 80 60
Sample mean $16.75 $16.25

Population standard deviation $1.00 $.95 The p-value is:_________

a. 0.0084.
b. 0.0042.
c. 0.0026.
d. 0.0013

Answers

Answer 1

Answer:

The p-value is;

d. 0.00131

Step-by-step explanation:

The given question parameters are;

                                                     Company A   [tex]{}[/tex]                       Company B

Sample size                                   80[tex]{}[/tex]                                         60

Sample mean   [tex]{}[/tex]                            [tex]\overline x_1[/tex] $16.75                            [tex]\overline x_2[/tex] $16.25

Population standard deviation [tex]{}[/tex]   σ₁  $1.00                           σ₂ $0.95

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})-(\mu_{1}-\mu _{2} )}{\sqrt{\dfrac{\sigma_{1}^{2} }{n_{1}}+\dfrac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

Therefor, we have;

[tex]z=\dfrac{(16.75-16.25)-(0-0)}{\sqrt{\dfrac{1^{2} }{80}+\dfrac{0.95^{2}}{60}}} \approx 3.0128[/tex]

The p-value = 1 - 0.99869 (the area to the right of 3.01) = 0.00131


Related Questions

PLZ HELP ME OUTTTTTTTTT
66 points

Answers

Answer:

The vertex is at [tex](0, -9)[/tex]

The axis of symmetry [tex]x = 0[/tex]

Step-by-step explanation:

Note: You can answer all the questions looking at the graph

We have the function [tex]f: \mathbb{R} \rightarrow\mathbb{R}[/tex](I am assuming this) such that [tex]f(x) = y = (x-3)(x+3)[/tex]

We note that

[tex](x-3)(x+3) = x^2-9[/tex] once we have a difference of squares

Therefore, we have a quadratic function.

So

[tex]y = x^2-9[/tex]

The vertex [tex](h, k)[/tex] is

[tex]h = \dfrac{-b}{2a} = \dfrac{-0}{2 \cdot 1} = 0[/tex]

[tex]k= h^2 - 9 = 0^2 - 9 =-9[/tex]

Therefore, the vertex is at [tex](0, -9)[/tex]

As we know the vertex, we conclude that the axis of symmetry [tex]x = 0[/tex]

The x-intercepts occur at [tex]y = 0[/tex]

[tex]y = (x-3)(x+3) \implies x = -3, x=3[/tex]

So, the left x-intercept is [tex](-3, 0)[/tex] and the right x-intercept is [tex](3, 0)[/tex]

As I stated in the beginning, the domain is the set of all real numbers. Precisely,

[tex]Dom(f) = \mathbb{R} = (-\infty, \infty)[/tex]  

Once, we know the vertex, we also conclude that the Range is

[tex]Ran(f)= [-9,\infty)[/tex]

Greater than or equal to -9

(40 POINTS!!!!) find FD

Answers

Answer:

FD = 25.94

Step-by-step explanation:

13x - 16 = 4x + 11 (Tangents drawn from an external point are equal)

13x - 4x = 11 + 16

9x = 27

x = 3

substituting x in 4x + 11,

4(3) + 11

12 + 11

23

ΔFED is a right triangle,

FD² = FE² + DE²

FD² = 12² + 23²

FD² = 144 + 529

FD² = 673

FD = 25.94

Answer:

FD= +-25.94

Step-by-step explanation:

EF=CF=r(radius)=12

we know,

FD^2=EF^2+ED^2 ......(1)

and

FD^2=CF^2+CD^2 ......(2)

We Know,

area of triangle, a= 1/2xbasexHeight

a=1/2xEFxED .......(3)

and

a=1/2xCFxCD .....(4)

from equation 3 and 4

1/2xEFxED=1/2xCFxCD

=> 1/2x12xED=1/2x12xCD

=>ED=CD

=>13x-16=4x+11

13x-4x=16+11

9x=27

x=3

so

FD^2=EF^2+(ED)^2

FD^2=(12)^2+(4x3+11)^2

=>FD^2=144+529

=>FD^2=673

FD=+-25.94

-3/4(4f - 2g)
Please answer as soon as you can!

Answers

Answer:

1

2

+

6

4

Step-by-step explanation:

3

4

(

4

2

)

Simplify

1

Combine multiplied terms into a single fraction

3

4

(

4

2

)

3

(

4

2

)

4

2

Distribute

Solution

1

2

+

6

Ellie worked 6 hours on Monday, 4.5 hours on Tuesday, 4 hours on Wednesday, 5.75 hours on Thursday, and 3 hours on Friday. If she is paid $10.18 per hour. Find her gross earnings for the week.

Answers

Answer:

⚠️DO NOT RELY ON ME⚠️ But, just by doing It in my head i think it's 236.685, but I don't really know just my thought process and mental math

(11+x)/2-(9x-3)/4 x=3

Answers

Answer:

(11+X)/2-(9x-3)/4 x=3

subsititute 3 into all x

(11+3)/2-(9*3)-3)/4

first solve the first diviision

2-(9 times 3)-3/4

=2-(27-3)/4

=2-(24)/4

since the "2-" is there, you have to subtract it from 24 before you dividewhich would then be

22/4=5.5(in decimal form)

DON'T forget you have another bracket waiting for you since you were given 3 brackets. bring the first bracket down

2-(9x-3)/4 was solved and we got 5.5, so basically we are "substituting 5.5 into that part of the question)

11+x/5.5

11+3/5.5

14/5.5

=2.54 which is your final answer

Sorry if I went overboard lol.

Step-by-step explanation:

yes, the answer is 2.54 I believe.

thirty percent of all seventh graders own a bracelet. explain whether the sample closely estimates the percentage of seventh graders who own a bracelet.

30 seventh graders, 3 own a bracelet

Answers

it doesn’t. if there were 30 7th graders and 30% owned a bracelet that would mean 9 own a bracelet.

The sample of 3 seventh graders who own a bracelet out of 30 seventh graders does not closely estimate the thirty percent of all seventh graders owning bracelets.

What is a percentage?

Percentages are fractions where the denominator is 100.

We have,

Number of seven grade students = 30

Number of students who own a bracelet = 3

The percentage of seven grade student who owns a bracelet:

= (3 / 30) x 100

= (1/10) x 100

= 10 %

This means that 10% of seven grade student owns a bracelet.

Thus, the sample does not closely estimate the percentage of seventh graders who owns bracelets.

Learn more about percentages here:

https://brainly.com/question/17151247

#SPJ2

A total of 12 runners complete in a race. The first three runners to cross the finish line will win medals. and how many different arrangements can the three medals be awarded?
A. 1,320
B. 79,833,600
C. 1,728
D. 220​

Answers

Don’t click linkkkkkkkkkk

Solve for x.
Your answer must be simplified.
17x>−17

Answers

Answer:

x>-1

Step-by-step explanation:

[tex] \frac{17}{17}x > - \frac{17}{17} \\x > - 1 [/tex]

A snack is 5 parts peanuts and 2 parts raisins. How many pounds of peanuts should be mixed with one-half pound raisins

Answers

One and one fourths pounds aka 1 1/4 or 1.25

Write two expressions that are equivalent to the expression below. (9 - c) + (9 - c) + (9 - c) + (9 - c)

Answers

Answer:

4(9 – c)

36 – 4c

Step-by-step explanation:

An example of two equivalent expressions includes the general expression and then the one that is factored.

Jeremy users 18 inches of twine for each box he packs for shipping. how many yards of twine does he need to wrap 5 boxes?

Answers

Answer:

2.5 yards of twine

Step-by-step explanation:

1 box = 18 inches

5 boxes = 18 x 5 = 90 inches

90 inches = 2.5 yards

A carpenter is putting a skylight in a roof. If the roof measures 10 + 8 by 8 + 6 and the skylight measures + 5 by 3 + 4, what is the area of the remaining roof after the skylight is built?
a. 77^2 + 115 + 68
b. 77^2 + 105 + 28
c. 83^2 + 115 + 68
d. 77^2 − 105 + 28

Answers

Yea what the other girl said

Here's a challenge.... solve for this ​

Answers

I'm very bad in geometry. Sorry mom I failed geometry .

How much force is needed to stop a 1,400 kg truck pulling up to a stop light if
the truck took 4 seconds to stop and was moving at 36 m/s? If you know the answer please include the equation, it would really help me out, thank you! This is not math is is science btw.

Answers

Hi there!

[tex]\large\boxed{-12,600 N}[/tex]

Recall that the equation to calculate force is:

F = m · a where m = mass, a = acceleration, and F = net force.

Since we are given the velocity, and time needed to stop, we can calculate the acceleration using the following kinematic equation:

vf = vi + at

The initial velocity is 36 m/s and the final velocity is 0 m/s, therefore:

0 = 36 + at

Move 36 to the other side and plug in the given time:

-36 = 4a

Divide both sides by -4 to find a:

-36/4 = a

a = -9 m/s².

Since the acceleration is -9 m/s² and the mass is 1400 kg, use the above force equation to solve:

F = -9 × 1400 = -12600 N. (negative refers to the force working in the opposite direction of the car's travel. If simply needing the magnitude of the force, it would be 12600 N)

Can anyone help me on this please

Answers

it should be 12.57 i remember having that question a few months back and i got it right

Which condition would prove ΔDEF ∼ ΔJKL?

Answers

Step-by-step explanation:

DE : JK

= 21 : 7

= 1 : 3

#CMIIW

The condition that proves congruent of two given triangles ΔDEF ∼ ΔJKL would be option A; DE : JK.

What is the congruent triangle?

Two triangles are said to be congruent if the length of the sides is equal, a measure of the angles are equal and they can be superimposed.

we have given proof two triangles congruent by the postulate of SSS.

Since two corresponding sides of these triangles are congruent so additional third side should also be congruent to prove both the triangles congruent.

AC ≅ DF will complete the SSS property to prove both the triangles are congruent.

DE : JK

= 21 : 7

= 3 : 1

Learn more about triangle here:

https://brainly.com/question/342881

#SPJ2

Parallelogram ABCD is shown on the coordinate grid. Which

coordinates belong to a point that appears to lie on segment AB?

Answers

Answer:

[tex](-1, 3)[/tex]

Step-by-step explanation:

Given

See attachment for ABCD

Options:

[tex](-1, 3)\ \ \ (0,3)\ \ \ (1,5)\ \ \ (2,5)[/tex]

From the attachment:

[tex]A = (-6,1)[/tex]

[tex]B = (4,5)[/tex]

Required

Coordinates on AB

First, calculate the slope of AB

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

[tex]m = \frac{5-1}{4--6}[/tex]

[tex]m = \frac{4}{10}[/tex]

[tex]m = 0.4[/tex]

Next,, calculate the equation as:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 0.4(x - -6) + 1[/tex]

[tex]y = 0.4(x +6) + 1[/tex]

[tex]y = 0.4x +2.4 + 1[/tex]

[tex]y = 0.4x +3.4[/tex]

Taking the options one at a time: (-1, 3)

[tex]x = -1\ \ y =3[/tex]

Test these values in the equation

[tex]y = 0.4 * -1 + 3.4[/tex]

[tex]y = -0.4 + 3.4[/tex]

[tex]y =3[/tex]

Hence, this point lie on AB

does 7/10 x 80 represent 70% of 80

Answers

Answer:

yes

Step-by-step explanation:

I say yes I did the math for it

HELP !!

Find x. Round to the nearest tenth.
27
26.2

Answers

Answer:

x= 14.0 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

At a restaurant, Sherry leaves a tip of about 25%. If her bill is $41.33, what is the amount of the tip? What is the total price?

Answers

Answer:

10.333

Step-by-step explanation:

If you use percentage, we will get 10.3325.

But it's money, so we will have to round it up.

We then get 10.333.

I think the answer is $51.66 but I’m not sure , hope I can help though

Quadrilateral ABCD is a parallelogram with < BCA= 50 , < DCA=60, find value of

Answers

Answer:

[tex]ADC = 70[/tex]

Step-by-step explanation:

Given

[tex]BCA = 50[/tex]

[tex]DCA = 60[/tex]

See attachment for parallelogram and complete question

Required

Find ADC

From the attachment:

[tex]BCD = BCA + DCA[/tex]

[tex]BCD = 50+60[/tex]

[tex]BCD = 110[/tex]

Adjacent angles add up to 180.

So:

[tex]ADC + BCD = 180[/tex]

[tex]ADC = 180-BCD[/tex]

[tex]ADC = 180-110[/tex]

[tex]ADC = 70[/tex]


LOTS OF POINTS IF U ANSWER

A 30-ounce jar of peanut butter costs $6.00. A 40-
ounce jar costs $7.20. Which jar of peanut butter is
cheaper per ounce? Be sure to justify your reasoning
and SHOW your WORK.

Answers

Answer:

The 40 ounce jar is cheaper

Step-by-step explanation:

how i did this was divide 6.00 by 30 to get 0.2 cents per ounce then 7.20 divided by 40 to get 0.18 cents per ounce so the 40 ounce jar would be cheaper, hope this helps.

The 40 ounce jar is cheaper

Can someone please help me? I am trying to help my son. Here is the problem:
Catherine is hanging a string of lights 40 feet long around the three sides(two on the width and one on the length) of her rectangle patio, which is adjacent to her house. The length of her patio, the side of the house, is eight feet shorter than six times the width. Find the length and the width of the patio.


Thanks everyone!!

Answers

Answer:

Step-by-step explanation:

x = width

6x - 8 = length

2x + 6x - 8 = 40

8x = 48

width = 6 feet

length = 28 feet

heyy pls help ty lol

Answers

Answer: 5/12

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

We are going to change both number so they have the same denominators.

1/4x3/3= 3/12

2/3x4/4=8/12

Once we changed the number we are going to subtract the numbers.

8/12-3/12=5/12

We can't simplify 5/12 so the answer is 5/12.  

need help with question 4

Answers

Answer:

Perimeter: 18u^2

Area: 18u^2

Step-by-step explanation:

perimeter is just adding all the sides together so 6+3+6+3

area is multiplying length by width so 6•3

both give us 18

hope this helps chu <3

Simplify this fraction: 36/168 show work pls

Answers

Answer:

0.214285714

Step-by-step explanation:

when you divide the numbers, you get 0.214285714.

36/168 = 0.214285714

Answer:

3/14

Step-by-step explanation:

first starting from 36/168, you can divide both by 3, which would be 12/56. then you can divide both numbers by 4, which would become 3/14, which is the in the most simplified form.

I don't understand how to solve Sequence dots? Can you show me step by step how to solve the first one A?

Answers

Answer how but just put it on brainly

Step-by-step explanation:

it tells you the answer

What happen when you multiply a number by it's reciprocal?

Answers

Answer:

When you multiply the number by its reciprocal the numerator of the one becomes the denominator of the other and is equals to 1 .

Use the Distributive Property to solve the equation.
- 3(x + 2) = 18


If you solve you get 50 points so pls help and no links pls

Answers

Answer:

x = -8

Step-by-step explanation:

-3x -6 = 18

-3x = 24

x = -8

PLEASE HELP ME DUE IN 10 MIN

Answers

Answer:

108

Step-by-step explanation:

9=height

12=wideness

9times12=108

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