A study conducted in year 2002 found that the mean number of children under 18 per household in a certain community was 1.7. A statistician is trying to determine whether this number has changed in the last 6 years. She declares the null and alternative hypotheses to be: Null: The mean number of children per household in 2002 is equal to 1.7; Alternative: The mean number of children per household in 2002 is not equal to 1.7. Which of the following statements is true about this test?

a. This is a step-tailed test.
b. This is a left-tailed test.
c. This is a two-tailed test.
d. This is a right-tailed test.

Answers

Answer 1

Answer:

c. This is a two-tailed test.

Step-by-step explanation:

When the rejection region is divided between the two tails of the sampling distribution of the test statistic the test is referred to as two tailed or two sided test. In this case the alternative is set up as

Ha : u≠ 1.7

meaning that values both larger and smaller than u are to be included.

When the alternative hypothesis has the "not equal to sign"  it gives the two tailed test.


Related Questions

A 40-foot powerboat is for sale by the owner. How long is the boat to
the nearest yard?

Answers

40 divided by three is 14 so I believe the answer is 14

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square. For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface. Therefore, Φsquare is ________ ϕcircle .

Answers

Answer:

The area of this circle is [tex](\frac{\pi}{2} )[/tex]  the area of the square.

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

Step-by-step explanation:

Area of the circle is given by;

[tex]A_c = \frac{\pi d^2}{4}[/tex]

Area of the square is given by;

[tex]A_s = L^2[/tex]

relationship between the edge length of the square, d, and length of its side, L,

[tex]d = \sqrt{L^2 + L^2} \\\\d = \sqrt{2L^2}[/tex]

But area of the square , [tex]A_s = L^2[/tex]

[tex]d = \sqrt{2A_s}[/tex]

Then, the area of the square in terms of the edge length is given by;

[tex]A_s = \frac{d^2}{2}[/tex]

Area of the circle in terms of area of the square is given by;

[tex]A_c = \frac{\pi d^2}{4} = \frac{\pi}{2}(\frac{d^2}{2} )\\\\But \ A_s = \frac{d^2}{2} \\\\A_c = \frac{\pi}{2}(\frac{d^2}{2} )\\\\A_c = \frac{\pi}{2}(A_s )[/tex]

For the uniform electric field normal to the surface, the flux through the surface is electric field multiplied by the area of this surface.

Ф = E.A

Flux through the surface of the circle is given by;

[tex]\phi _{circle} = E.(\frac{\pi d^2}{4})[/tex]

Flux through the surface of the square is given by;

[tex]\phi _{square} = E.(\frac{d^2}{2} )\\\\\phi _{square} =E.(\frac{d^2}{2} ).(\frac{\pi}{2} ).(\frac{2}{\pi} )\\\\\phi _{square} =E.(\frac{\pi d^2}{4} ).(\frac{2}{\pi} )\\\\\phi _{square} =(\phi _{circle}).(\frac{2}{\pi} )[/tex]

Therefore, Φsquare is [tex](\frac{2}{\pi} )[/tex] ϕcircle

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square

The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Φsquare is [tex]\dfrac{2}{\pi}[/tex]  ϕcircle

Given

If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square

For the uniform electric field normal to the surface, the flux through the surface is____________the area of this surface.

Therefore, Φsquare is ________ ϕcircle .

1. If the circle has the same diameter as the edge length of the square, then the area of this circle is ___________the area of the square.

The area of the circle is;

[tex]\rm Area \ of \ circle = \dfrac{\pi d^2}{4}[/tex]

The area of the square is;

[tex]\rm Area \ of \ square = a^2[/tex]

The relationship between the edge length of the square, d, and length of its side a is;

[tex]\rm d = \sqrt{a^2+a^2}\\\\d = \sqrt{2a^2}\\\\d = \sqrt{2} a[/tex]
The area of the circle in terms of the area of the square is;

[tex]\rm Area \ of \ circle = \dfrac{\pi }{2} \ Area \ of \ square[/tex]

If the circle has the same diameter as the edge length of the square, then the area of this circle is [tex]\rm \dfrac{\pi }{2}[/tex] the area of the square.

2. The uniform electric field is normal to the surface, the flux through the surface is the electric field multiplied by the area of this surface.

Ф = E.A

3. Flux through the surface of the circle is given by;

[tex]= \rm E\dfrac{\pi d^2}{4}\\\\=\dfrac{2}{\pi }[/tex]

To know more about Flux click the link given below.

https://brainly.com/question/5932170

Juan’s cell phone company charges $35 a month for phone service with limited data for every gigabyte of data overage the company charges $15 write an equation that represents how many gigabytes one goes over in a month if his bill was $110

Answers

Answer:15x+35=110

Step-by-step explanation:

Thanks ninofhghvhghvhv

Answers

Answer:

ok

Step-by-step explanation:

❤️

Answer:

okay jekwkwkwisjwjqkwkjskwwwkwkwkwk s wowowi

Solve using the distributive property 5(3 + 0.5)

Answers

Answer:

17.5

Step-by-step explanation:

15 plus 2.5

17.5

hope this helps

1. How many numbers less than 10,000 are there which are divisible
by 21, 35 and 63?​

Answers

Answer:

31

Step-by-step explanation:

To solve this problem, we must find the lowest common multiple of 21, 35 and 63

   Find the prime factors of the number;

 Prime factors of 21  = 3 x 7

                            35 = 3 x 5

                            63 = 3 x 3 x 7

  The lcm = 3 x 3 x 5 x 7 = 315

The numbers between  1 and 10, 000 divided by these three numbers;

   First number  = 315

    Last number  = 9765

Now the total number:

      = [tex]\frac{first number - last number }{315} + 1[/tex]

      = [tex]\frac{9765 - 315}{315}[/tex] + 1

     = 30 + 1

     = 31

can anyone help with the vertical angles

Answers

Answer:

a

Step-by-step explanation:

do the ones that are congruent and right in front of eachother

Answer: Choice A

[tex]\angle JLK \ \ \& \ \ \angle MLN\\\\\angle JLM \ \ \& \ \ \angle KLN[/tex]

See the diagram below. I've marked the angles in question using different colors. Angles JLK and MLN are in red. Angles JLM and KLN are in blue.

Vertical angles are opposite one another when we have an X shape like this. Vertical angles are always congruent.

solve for the x variable .

Answers

Answer:

x=15

Step-by-step explanation:

plz mark as brainliest

hope it helped u

Answer:

ok the question is 2x is equals to 15 + x so we will collect the like terms so that we have 2 x minus x is equals to 15 and x is equals to 15


4. A model of a skyscraper is made so that 1 inch represents 75 feet. What is the height of the actual building if the height of the model is 18 3/5 inches?




5. The portrait company that takes little league baseball team photos is offering an option where a portrait of your baseball pose can be enlarged to be used as a wall decal (sticker). Your height in the portrait measures 3 1/2 inches. If the company uses a scale where 1 inch on the portrait represents 20 inches on the wall decal, find the height on the wall decal. Your actual height is 55 inches. If you stand next to the wall decal, will it be larger or smaller than you?




6. The sponsor of a 5K run/walk for charity wishes to create a stamp of its billboard to commemorate the event. If the sponsor uses a scale where 1 inch represents 4 feet, and the billboard is a rectangle with a width of 14 feet and a length of 48 feet, what will be the shape and size of the stamp?





7. Danielle is creating a scale drawing of her room. The rectangular room measures 20 1/2 ft. by 25 ft. If her drawing uses the scale where 1 inch represents 2 feet of the actual room, will her drawing fit on an 8 1/2 in. by 11 in. piece of paper?
.

Answers

I am going to have to go with answer A

Graph the line that passes through the coordinates below and determine which statement is true.
(2,3) (3,4.5) (4,6) (6,9)


A.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.

Answers

Answer:

the correct answer is: C. The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Step-by-step explanation:

A straight line passing through the points (1, 2), (3, 4), (5, 6) and (7, 8) does not pass through the origin, as shown on the graph below.

Therefore, the line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.

Answer:

The line that passes through the given coordinates represents a proportional relationship because the line passes through the origin--the correct answer is B.

Step-by-step explanation:

You first graph the coordinates shown, then you repeat the same pattern until the answer is revealed which is shown in the column above. Also, a reminder to all a proportional line is a line that goes through the origin ((0,0)).

What is the slope of the line that passes through the coordinate points: (0,3)
and (5, 96)?

Answers

Answer:

93/5

Step-by-step explanation:

Which representation has a constant of variation of –2.5?


A
x
–2
–3
–4
–5
y
–5
–7.5
–10
–12.5


B
5 x + 2 y = 0


C
y = negative 2.5 x + 1


D
On a coordinate plane, a line goes through points (negative 1, 0) and (0, negative 2).

A
B
C
D

Answers

Answer:

ez b no doubt

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

someone help me on 2 and 3 plssssss

Answers

Answer:

<MSDBEF

Step-by-step explanation:

vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv

If a1=2 and an=an-1+5 then whats the value of a5

Answers

Answer:

a5=10

Step-by-step explanation:

a1=2 a2=4 a3=6 a4=8 a5=10

The value of the 5th term of the arithmetic sequence will be 22.

What is an arithmetic sequence?

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

The value of the first term is 2. Then the value of the 5th term is calculated as,

a₂ = a₁ + 5

a₂ = 2 + 5

a₂ = 7

a₃ = a₂ + 5

a₃ = 7 + 5

a₃ = 12

a₄ = a₃ + 5

a₄ = 12 + 5

a₄ = 17

a₅ = a₄ + 5

a₅ = 17 + 5

a₅ = 22

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

PlSSSSSS HELP multiple choice

Answers

letter b is the correct answer.

A furniture manufacturer makes two types of furniture: chairs and sofas. The production of the sofas and chairs requires three operations: carpentry, finishing, and upholstery. Manufacturing a chair requires 3 hours of carpentry, 9 hours of finishing, and 2 hours of upholstery. Manufacturing a sofa requires 2 hours of carpentry, 4 hours of finishing, and 10 hours of upholstery. The factory has allocated at most 66 labor hours for carpentry, 180 labor hours for finishing, and 200 labor hours for upholstery. The prfit per chair is $90 and the profit per sofa is $75. The manufacturer wants to know how many chairs and how many sofas should be produced each day to maximize the profit.
Formulate a linear programming (LP)problem you would use to find a solution.

Answers

Step-by-step explanation:

let chairs be C and sofas be S

The objective function is

Maximize

90C+75S=P

The constraints are

carpentry

3C+2S=66------1

finishing

9C+4S=180-----2

upholstery

2C+10S=200-----3

C>0, S>0

The linear programming is

3C+2S=66

9C+4S=180

2C+10S=200

what is 108.92 in expanded form

Answers

108.92 = 100 +8 + 0.9 + 0.02


Robert bought a 6 pack of cans of iced tea for $2.70. About how much is the unit cost for each can of iced tea?

Answers

Answer:

.45$

Step-by-step explanation:

2.70 ÷ 6

Answer:

$0.45

Step-by-step explanation:

If 6 cans of iced tea costs $2.70,

1 can would cost ($2.70 ÷ 6)

HELP WILL MARK BRAINLIEST

Answers

Answer:

(-3,-1)

Step-by-step explanation:

You can graph both of the points on desmos, and then look at the slope from p1 to the midpoint. so you can get the slope, and use it to get the p2. the slope is -4/6. So you get that answer.

There is a stack of logs in the backyard. There are 15 logs in the 1st layer, 14 in the second, 13 in the third, 12 in the fourth, and so on with the last layer having one log. How many logs are in the stack?​

Answers

I think the answer is 54.

Valerie runs track and field. At meets, Valerie lkes to buy protein bars, bananas and sports drinks Protein bars are $1. bananas are S0.50, and sports drinks are S2. Valerie has S10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars. Let represent the number of protein bars. represent the number of bananas. and represent the number of sports drinks that Valerie buys. Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answers

Complete Question

Valerie runs track and field. At meets, Valerie likes to buy protein bars, bananas, and sports drinks. Protein bars are $1, bananas are $0.50, and sports drinks are $2. Valerie has $10 to spend. She will spend no more than twice as much on sports drinks as bananas and at least three times as much on bananas as protein bars.

Let p represent the number of protein bars, b represent the number of bananas, and d represent the number of sports drinks that Valerie buys.

Which statements are true regarding Valerie's situation? Select all that apply A: p + 0.5b + 2d < 10 B: 0.5d + b + 3p < 10. C: d < 2b. D: b > 3p. E: 2d < b. F: 3b > p

Answer:

The statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Step-by-step explanation:

Lets represent

The number of protein bars as p.

The number of bananas as b.

The number of sports drinks that Valerie buys as d.

From the question:

We are told

Protein bars are $1

Bananas are $0.50

Sports drinks are $2.

She will spend no more than twice as much on sports drinks as bananas

d ≤ 2b = d < 2b

At least three times as much on bananas as protein bars.

b ≥ 3p = b > 3p

We are also told that:

Valerie has $10 to spend.

Hence:

$1 × p + $0.50 × b + $2 × d < $10

= p + 0.5b + 2d < 10

Therefore, the statements that are true regarding Valerie's situation:

A: p + 0.5b + 2d < 10

C: d < 2b

D: b > 3p

Mackenzie has one candy bar to share equally with her best friend. What portion of the candy bar does Mackenzie give to her best friend.

Answers

Answer:1/2

Step-by-step explanation:

Answer: 1/2

Step-by-step explanation: if each of you get part of the candy bar and you need to share it equally, both of you get 1/2 of it.

A cylinder has a height of 20 inches and a diameter of 18 inches.
Find the surface area in terms of straight pi

Answers

Answer:

1639.91

Step-by-step explanation:

to work out surface area of a cylinder u do

A=2πrh+2πr2

hope this helps :)

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is of a mile long. On Monday, Selma ran the loop in of an hour. What is Selma’s unit rate in miles per hour for Monday’s run?

In this activity, you will use the common denominator method to calculate a unit rate that involves fractions. Answer the questions that follow to calculate Selma’s unit rate in miles per hour.


part A. According to the question, the unit rate is to be expressed in which units?


Part B. Now, write Selma’s jogging rate as a complex fraction. A complex fraction is one whose numerator, denominator, or both are fractions. Be sure to include units in your answer.


Part C. Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.


Part D. Rewr

Answers

Complete question :

Selma uses a jogging trail that runs through a park near her home. The trail is a loop that is 3/4 of a mile long. On Monday, Selma ran the loop in 1/6 of an hour. What is Selma's unit rate in miles per hour for Monday's run?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Length of trail = 3/4 of a mile.

Time taken = 1/6 of an hour

A) unit rate will be expressed in:

Length of trail = miles

Time taken. = hour

= miles per hour (mph)

B) Jogging rate :

Length of trail / time taken

3/4 miles ÷ 1/6 hour

3/4 * 6/1

18/4 = 4 2/4 = 4 1/2

Answer:

3/4/3/6  miles per hour

find the value of x
PLEASE HELP!!!

Answers

X=21 first you subtract out the numbers you have from the total so 180-(3+9) which is 168 so you know 5x+3x=168 so you simplify first add your 5x+3x so 8x=168 then you want to get x by itself so you divide out the 8 so 8x divided by 8 is just x and what you do to one side you must do to the other so 168 divided by 8 is 21

is 1/4 a repeating decimal​

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is a repeating decimal

-3(x + 2) = 16 - x
I need helpppp ASAP

Answers

Answer:

x = -11

Step-by-step explanation:

-3(x + 2) = 16 - x

-3x - 6 = 16 - x

-22 = 2x

Divide

-22/2 = x

-11 = x

Is a 70 a bad grade on a math test?

Answers

Answer:  in my opinion is better than an F

Step-by-step explanation:

After the first week of registration, 92 children had enrolled for the second
session of summer camp. If this represents 80% of the available slots, what
is the maximum number of children the camp can enroll for the second
session?

Answers

Answer:

115 children

Step-by-step explanation:

Please see the attached picture for the full solution.

40,984 rounded to the nearest ten thousand

Answers

Hi friend! Hope this helps!

40,000.

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