In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the following data have been gathered. Downtown StoreNorth Mall Store Sample size2520 Sample mean$12$6 Sample standard deviation$3$1 The point estimate for the difference between the two population means is 6. Find a 95% interval estimate for the difference between the two population means. 0.654 to 2.615 3.958 to 8.042 4.692 to 7.308 5.699 to 8.301

Answers

Answer 1

Answer:

4.692 to 7.308

Step-by-step explanation:

Given :

n1 = 25 ; n2 = 20 ;

Mean x1 = $12 ; mean x2 = $6

Standard deviation, s1 = 3 ; s2 = 1

Confidence interval :

(x1 - x2) ± t*√(s1²/n1) + (s2²/n2)

x1 - x2 = (12 - 6) = 6

√(s1²/n1) + (s2²/n2) = √(3²/25) + (1²/20) = 0.640

Degree of freedom :

((s1²/n1) + (s2²/n2))² / (s1²/n1)²/n1-1 + (s2²/n2)²/n2-1

Numerator = 0.1681

Denominator = 0.0054 + 0.0001315 = 0.0055315

Degree of freedom = 0.1681 / 0.0055315 = 30.38 = 30

Tcritical at 0.05, df = 30 = 2.042272

Hence ;

6 ± 2.042272(0.640)

6 ± 1.30705408

Lower boundary = 6 - 1.30705408 = 4.69294592

Upper boundary = 6 + 1.30705408 = 7.30705408

(4.693 ; 7.307)


Related Questions

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each
person eats per day.
4
Fruit Servings
0
4
Vegetable Servings
Matt is one of the people surveyed. He is considered an outlier in this data.
Which statement describes Matt's data relative to the general pattern of the data?

Answers

Answer:b

Step-by-step explanation:

It b

The statement describes Matt's data relative to the general pattern of the data.option B is correct.

We have given that,

Ten people were surveyed. The scatterplot shows the relationship between the number of fruit servings and the number of vegetable servings each

A person eats per day.

 

 Fruit Servings                       Vegetable Servings

      4                                              0

        -                                              4

Matt is one of the people surveyed. He is considered an outlier in this data.

What is the scatter plot?

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data.

From the given scatter plot we can say that option B is correct.

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Watch help video
Write two numbers that multiply to the value on top and add to the value on bottom.
30
11

Answers

33 22 is the answer spsjajazk I ibfs

Answer:

33 22 is the answer

Step-by-step explanation:

what is 1 + 1 - 10 -50 -40 x 9877 -7000 + 500 - 600 X 564847584 -38339

Answers

Answer:

-338908990377

Step-by-step explanation:

that is the answer

How many milligrams are equal to 3.06 grams?

Answers

3060

Because you multiply the mass value by 1000

Answer:

1gm=100mg

3.06gm=306mg

Step-by-step explanation:

please give me brainlest and follow me on

A butterfly flew 743 cm, Then the butterfly flew another 567 cm end to go to a daisy.
How many meters did the butterfly travel?

Answers

Answer:

it 567+743

hope it works

What is the area of the triangle?
A. 35 cm
B. 35 cm2
C. 17.5 cm2
D. 17.5 cm

Answers

Answer:

C

Step-by-step explanation:

Area of the triangle is cm^2 which makes A and D not true.

Formula

Area = 1/2 * b  * h

b = 7

h = 5

Area = 1/2 * 7 * 5

Area = 1/2 35

Area = 17.5 cm^2

c on edge but sorry if it is wrong!

How do you find whether if it’s a monomial?

Answers

Answer:

When it is of the form axm a x m, where a a is a constant and m m is a whole number, it is called a monomial. Some examples of monomial are 8,−2x2,4y3, and11z7 8, − 2 x 2, 4 y 3, and 11 z 7. A monomial is a term of the form axm a x m, where a a is a constant and m m is a positive whole number.

Step-by-step explanation:

Can someone please help me I will mark u brilliant

Answers

Answer: 6.50 + 5.75n

Step-by-step explanation:

Answer:

6.50 + 5.75n

Step-by-step explanation:

because since it said let n equal the number of hours AFTER the FIRST hour.

(just have to read the question carefully)

Jose' traveled from his home in Ocala to Gainesville. Gainesville is 37 miles
due north of Ocala. North is considered a positive direction and south is
considered a negative direction. What integer value would represent the
direction and the distance as Jose's traveled back home from Gainesville to
Ocala?
Pls help!!!!!!

Answers

Answer:

The integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Step-by-step explanation:

The direction is represented by the sign that accompanies the distance, since Jose is returning from Gainesville, then the direction must represented by a minus sign (-), since he is travelling southwards. The distance is the magnitude of the length covered by Jose during his return. Hence, distance is represented by the natural number 37.

Finally, the integer -37 represents the direction and the distance covered by Jose from Gainesville to Ocala.

Find the length of RS.

Answers

Answer:

If ET is 20 then DS should be 30 which makes RS 90

Step-by-step explanation:

Hope this helps. :)

Simplify the expression:
62^7 +1 + 6xy + 8z^7 + 9 + 6yx

I WILL GIVE BRAINLIEST.

Answers

Answer: 62^7+10+12xy+8z^7

write a sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

Answers

Answer:2sin(8/3x)+3

Step-by-step explanation:

The required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

What is midline?

"It is the horizontal center line about which the function oscillates above and below. "

What is amplitude?

"It is the distance between the highest point and midline."

What is time period?

"It is the length of one complete cycle of the curve."

What is vertical shift?

"It is the distance between midline and x-axis."

What is equation of sine graph?

"The generalized equation for a sine graph is as follows:

[tex]y = A~sin(B(x + C)) + D[/tex]

where, amplitude = A

period = 2π/B

phase shift = C

vertical shift = D"

For given function,

A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4

A = 2

T = [tex]\frac{3\pi}{4}[/tex]

In this case, the midline is 3

⇒ D = 3

Using the generalized equation of sine function,

[tex]\Rightarrow y = A~sin(B(x + C)) + D\\\\\Rightarrow y = 2~sin(\frac{3\pi}{4} (x + 0)) + 3\\\\\Rightarrow y=2~sin(\frac{3\pi}{4} x)+3[/tex]

Therefore, the required sine function is [tex]\bold{y=2~sin(\frac{3\pi}{4} x)+3}[/tex]

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1. What is the name of this solid figure?
2. How many faces does it have?
3. What is the shape of each face?
4. Draw a net of the figure.
5. How will we get the surface area of this
figure? Illustrate​

Answers

Answer:

1.cuboid

2. 6

3. rectangle

4.

5.

Determine the value of y.
Question 14 options:


A)

4.8

B)

1.875

C)

13.3

D)

3

Answers

Answer:

18

Step-by-step explanation:

Answer:

4.8

Step-by-step explanation:

i got it right on my work

The planet Uranus has a radius of 25,362 km, and planet Mars has a radius of 3,390 km. How many times bigger is the volume of Uranus than Mars? Assume that both planets are spheres.

Round your answer to one decimal place.

Answers

Answer:

ranus is a large planet with a volume of 6.833 x 1013 cubic kilometers. You could fit a little more than 63 Earths inside of Uranus, but like the other gas giants, it is not very dense. Comprised mostly of gas, the planet is only about 14.5 times more massive than Earth is.

Step-by-step explanation:

^

HELP AND I WILL GIVE BRAINLIEST!
What is the value of c such that x^2 - 6x + c is a perfect-square trinomial?
a. 36
b. 9
c. -3
d. 18

Answers

Answer:

[tex]x^2 -6x +c \ is \ the \ perfect \ square\\=> x^2 -6x + c = (x -k)^2\\=>x^2 -6x+c = x^2 -2kx + k^2\\Equating \ the \ like \ terms,\\-6x = -2kx\\k = 3\\substituting \ k \ in \ (x-k) = (x-3)\\x^2 -6x +c = (x-3)^2\\\\X^2 - 6x + c = x^2 -6x +9 \\\\=> c = 9[/tex]

opion. b

Answer:

b

Step-by-step explanation:

Match the corresponding sides:

Answers

Answer:

EG=LN     NM=GF     LM=EF    

Step-by-step explanation:

help please!! really easy math. <3

Answers

Answer:

y = x+5

Step-by-step explanation:

Answer:

[tex]y = x + 5[/tex]

Step-by-step explanation:

GIVEN :-

Slope of the line (denoted by 'm') = 1y-intercept of the line (denoted by 'c') = 5

TO FIND :-

Equation of line in slope-intercept form

FACTS TO KNOW BEFORE SOLVING :-

Lets say there's a line whose slope is 'm' & y-intercept is 'c'. So, the equation of line in slope-intercept form is → [tex]\boxed {y = mx + c}[/tex]

SOLUTION :-

By using the basic idea of slope-intercept form , the equation of line given in the question is :-

[tex]y = (1 \times x) + 5[/tex]

[tex]=> y = x + 5[/tex]

Help. No links. Ty :3

Answers

Answer:

334

Step-by-step explanation:

Show work for this equation

Answers

Answer:

49ft

Step-by-step explanation:

Find x by using

cos38=x/62

Helix
nou
How much of
angepay
(b)
A cylindrical column of fat has diameter 17.5cm and height 10cm. Calculate its density
if the column has a mass of 2kg.​

Answers

Answer:

Answer is

Step-by-step explanation:

plus karna h 17.5+ 10+ cm+ 2kg

The answer to the above question

Answers

Answer:

Step-by-step explanation:

Since our interval is given as it is, we are in QIII. That interval is equivalent to 270 degrees to 360 degrees, which is QIII. If we draw this right triangle in QIII and label it accordingly, the side adjacent to the reference angle is sqrt2 and the hypotenuse is 2. We know this because the cosine ratio is defined as the side adjacent to the reference angle over the hypotenuse of the right triangle. That means that we have to find the missing side in order to determine the other 2 main trig ratios. Using Pythagorean's Theorem, we have

[tex]2^2=\sqrt{2}^2+b^2[/tex] and

[tex]4=2+b^2[/tex] so

[tex]b=\sqrt{2}[/tex]. But since it is for a value that, in QIII is negative, it is [tex]-\sqrt{2}[/tex]

Now we can find the sin and tan of that reference angle. Sin is defined as the side opposite the reference angle over the hypotenuse, so

[tex]sin\theta=\frac{-\sqrt{2} }{2}[/tex] and tan, which is defined as side opposite the reference angle over the side adjacent to the reference angle, then

[tex]tan\theta=\frac{-\sqrt{2} }{\sqrt{2} }=-1[/tex]

Find a function rule for the line that passes through the origin (0,0) and the point (-8, -19)

Answers

Answer:

B.

[tex]y = \frac{19}{8} x[/tex]

Step-by-step explanation:

Our slope is Rise over Run. In this case begin at the point (-8,-19) and find how many units up (rise) and how many units over (run) you must travel to reach the next point of (0,0).

What is 2 15/16 as a decimal

Answers

Answer:

2.9375

2 15/16 as a decimal = 2.9375

2 15/16 in decimal form = 2.9375

Two and fifteen sixteenths as a decimal = 2.9375

2 and 15 over 16 as a decimal = 2.9375

Answer:

2.938

Step-by-step explanation:

What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 - 16 x2 - 8x + 16
x+5 2x +10

Answers

Answer:

D

Step-by-step explanation:

some one pls help!!!!

Answers

Answer:

I think the bottom right one...

Step-by-step explanation:

dont forget to heart and 5-star! =D

Look for what equals 27

In the diagram given below, △DEF∼△DGH, Find q

Answers

Answer:

q=3

Step-by-step explanation:

Triangle ABC has coordinates A(-3, 2), B(-2, 4), and C(-2, 1). If the triangle is reflected over the y-axis, what are the coordinates of A'?

Answers

Answer:

A=3, 2

B= 2,4

C= 2, 1

If i'm not wrong

Point A(-3,2)) reflected over the y-axis becomes: A'(3,2).

Point B(-2,4) reflected over the y-axis becomes: B'(2,4).

Point C(-2,1) reflected over the y-axis becomes: C'(2,1).

Evaluate the expression for n = 4.
3(n + 1) =

Answers

3(n+1)=
3(4+1=
15

Hope this helps!

Answer: Your answer is 15!

Step-by-step explanation: First, you have to do 4 + 1, equaling 5. Next, 5 x 3, which is 15.

Evaluate the expression.
20^2 + 6(9 + 3) = 274
RETRY

Answers

Answer:

False

Step-by-step explanation:

I'm pretty sure you're asking if the question is true or false and in this case, it is not true.

20^2+6(9+3)=274

evaluate power

400+6(9+3)=274

multiply numbers

400+72=274

add numbers

472=274

they are not the same number which means that statement wasn't true

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