The American Water Works Association reports that the per capita water use in a single-family home is 76 gallons per day. Legacy Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 71 gallons with a standard deviation of 9.5 gallons per day. At the 0.01 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average

Answers

Answer 1

Answer:

Yes, that is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average

Step-by-step explanation:

The data given by the American Water Works Association are;

The per capita water use in a single-family home, μ = 76 gallons per day

The number of responders in the sample, n = 27

The sample mean water used by the sample, [tex]\overline x[/tex] = 71 gallons

The standard deviation, s = 9.5 gallons per day

The level of significance, α = 0.01

The test statistics is given as follows;

The null hypothesis, H₀; μ ≥ 76 gallons

The alternative hypothesis, Hₐ; μ < 76 gallons

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{71-76 }{\dfrac{9.5}{\sqrt{27}}} \approx -2.734817[/tex]

At n - 1 = 27 - 1 = 26 degrees of freedom, the critical-t = 2.5

From the test statistic, of t ≈ -2.734817, the p-value < 0.01, and from a graphing calculator, the p-value is given as Prob = 0.005544418

Therefore, given that the p-value is less the significant level, and less than 0.01, is therefore statistically significant, and therefore, there is sufficient statistical evidence against the null hypothesis, therefore we reject the null hypothesis, and there is enough statistical evidence to suggest to conclude that residents of Legacy Ranch use less water on average.


Related Questions

What work would I do to answer this question?

Answers

9514 1404 393

Explanation:

As you know, the correct answer choices are marked.

__

Translation can be accomplished by reflecting across two parallel lines. The amount of translation is double (twice) the distance between the lines. Any two lines with the same spacing will give the same translation.

Here, the translation is 4 up and 4 right. The amount by which each point is translated is 4√2 units in the direction "northeast", that is, along a line with a slope of 4/4 = 1.

Any line of reflection is a perpendicular bisector of the segment joining the original point and its image. This means we need to identify two lines that have a slope of -1 and that are separated by (4√2)/2 = 2√2 units.

The attachment shows that two lines with this slope that have a separation of 2√2 will have y-intercepts that differ by 4. (The lines shown happen to be the correct answer choices.)

The offered choices of lines have y-intercepts of {5, 6} and {10, 12}. The only pair of lines with y-intercepts that differ by 4 are y=-x+6 and y=-x+10.

_____

Additional comment

We have made sort of a qualitative argument for the correct answer. If you like, you can say that the two lines of reflection each cause the image to be located halfway to its destination. That mean, for example, for point R(2,2), the first image point is R'(4,4). The line of reflection, as we said above, is the perpendicular bisector of this. It will have a slope of -1 and go through the point (3, 3), so its equation is ...

  y -3 = -1(x -3)   ⇒   y = -x +6

Similarly, the second (final) image point is R''(6,6). We can find the other line of reflection to be one that has a slope of -1 and goes through the point (5, 5). Its equation is ...

  y -5 = -1(x -5)   ⇒   y = -x +10

These are two of the equations that are offered as answer choices, so should be selected.

As we said at the beginning, any lines with this spacing will do. We cannot presume at the start that each line of reflection will move the image half the distance.

For which of the following is x = -5 a solution? Select all that apply.
x + 10 = -5
-x2 + 50 = 25
2x1 = 10
5x<0
2x <10

Answers

Answer:

-x2 + 50 = 25

5x<0

2x <10

Step-by-step explanation:

I hope the answer satisfies you

Please help! Brainliest to first who gets it right!

Answers

Answer:

17 converted to a decimal is 0.17

Step-by-step explanation:

Hope this helps

work out 18/36 - 2/6, give your answer in its simplest form​

Answers

The answer in simplest form would be 1/6

PLEASE ILL MARK BRAINLIEST!!!

Answers

Answer:108 I think

Step-by-step explanation:

the range of f:x to x*2 for the domain [-2,-1,0,1,2]

a) [0,1,8]

b)[-2,-1,0,1,2]

c) [-6,-3,0,3,6]

d) [-8,-1,0,1,8]​

Answers

Answer: 4. I think I’m not sure

Step-by-step explanation:

Evaluating Expressions
Use the order of operations to help you solve,
56 + 9x2
100 + 5 X4
8 X 12 - 6

Answers

Answer:

See below for steps and answers, but answers are:

74

5

90

Step-by-step explanation:

Order of operations is: PEMDAS = parentheses, exponents, multiplication, division, addition, subtraction

1. 56 + 9 x 2

first we multiply:

= 56 + 18

then we add:

=74

-----------------------

2. 100 / 5 x 4

first we multiply:

= 100 / 20

then we divide 100 by 20:

= 5

-----------------------

3. 8 x 12 - 6

first we multiply:

= 96 - 6

then we subtract:

= 90

Which graph shows an exponential function that nears a constant value as x approaches positive infinity and has a y-intercept at (0,3)?
A. X
B. Y
C. Z
D. W

Answers

Answer:

C. Graph Z is the correct answer

Step-by-step explanation:

It touches 0,3 and the right line is going towards infinite positive x’s

#plato

The exponent function of the graph will be W.  Then the correct option is D.

What is an exponent?

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ + c

Where c is the intercept.

Let the leading coefficient will be 1.

Then the equation will be

y = (b)ˣ + c

The exponent function has a y-intercept at (0, 3).

Then the exponent function is given as,

y = (b)ˣ + 2

Some points regarding exponent function.

The exponent function remains positive for the real value of the x.If the value of x approaches to the negative infinity, then the function tends to zero.If the value of x approaches to the positive infinity, then the function tends to infinity.At x = 0, the function interset the y-axis at (0, 3).

The exponent function of the graph will be W.

Then the correct option is D.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ5


Which letter represents the point (-4, 1) on the graph above?
A. А
B.B
С. С
D. D

Answers

Step-by-step explanation:

the right answer would be B

Answer:

C

Step-by-step explanation:

The point (-4 , 1) will be located

4 units towards left side of x axis . 1 unit above y axis.

From figure , Point C

Enter the slope-intercept equation of the line shown below.
5
5
5

Answers

Answer:

y=-4x-4

Step-by-step explanation:

rise/run+ y-intercept

Which of the following expressions are equivalent to (x+y)-(-z)?
Choice a: (x+y)−z
Choice b: x+(y+z)
Choice c: None of the above

NEED ANSWER NOW

Answers

Should be B because the -(-z) makes the z positive

The SAS postulate involves two corresponding sides and their
corresponding
?
A) Included angle
B) Third angle theorem
C) Included side​

Answers

Answer:

A) included angle

Step-by-step explanation:

7. Emily and John will be hiking for 42 hours. Hikers should drink at least 2.7 cups of water for every 2 hours of hiking. How many cups of water should Emily and John drink?

Answers

Answer:

5cps.

Step-by-step explanation:

Because when you take 42/2=12 then divide 2.7 and you'll then get 5cps. Hope it right!

Find x. Round the the nearest whole number

Answers

Answer:

Step-by-step explanation:

I think it should be 20 because the line is similar to the 18 line so you can round up to 20.

The perimeter of a rectangle is 14cm. The length of the rectangle is 4 cm more than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

length = 6 cm

width = 1 cm

Step-by-step explanation:

l = length

w = width

l = 4 + 2w

2(4 + 2w) + 2w = 14

8 + 4w + 2w = 14

8 + 6w = 14

6w = 6

w = 1

find length:

l = 4 + 2(1)

l = 6

Please if you know Spanish, help me here

Answers

Answer:

the difference of double one number x and another number y. so 2x-y

7+40h

Step-by-step explanation:

there isnt an explanation just the answer

what is the y intercept? f(x)=-2^2+4x-6

Answers

Answer:

The y intercept is -1

Step-by-step explanation:

the y-intercept is when y = 0

f(0) = -2^2 + 4(0) - 5

f(0) = 4 - 5

f(0) = -1

Solve for x and then find the measure of Angle B

Angle B =

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

Determine the amplitude of the following graph.​

Answers

Answer:

amplitude = 3

Step-by-step explanation:

the amplitude is the vertical distance from center of the wave to the crest or the trough

The amplitude of the graph because amplitude is the maximum value of the graph of a function.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a trigonometric function shown in the graph:

The amplitude is the maximum value of the graph attend or reaches in the graph.

Amplitude = [5-(-1)]/2 = 6/2 = 3

Thus, the amplitude of the graph because amplitude is the maximum value of the graph of a function.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

A gift-wrapping box is in the shape of an oblique triangular prism.

A triangular prism is shown. The bases are triangle A B C and triangle F E D. A bisector is drawn from point E to point G on side F D. Line F D is extended to point H outside of the figure. Another line is drawn from point C to point H to form a right angle. The length of E G is 10 inches, the length of F D is 15 inches, the length of C H is 8 inches, and the length of A F is 10 inches.

If EG = 10 in., FD = 15 in., CH = 8 in., and A F = 10 in., what is the height of the prism?


in.

What is the base area, B?


square inches

What is the volume of the prism?


cubic inches

Answers

Answer:

Height- 8 in

Base Area- 75 square inches

Volume- 600 cubic inches

Step-by-step explanation:

Because It´s right

Answer: 8in, 75 square inches, 600 cubic inches

correct on edge

Rhombus ABCD has a vertices whose coordinates are A(1,2) B(4,6) C(7,2) D(4,-2) What is the Area of the rhombus

Answers

Answer:

24

Step-by-step explanation:

rhombus area formula= (diagonal×diagonal)÷2

=6×8

=48÷2

=24

hello can somebody help me

Answers

A.) False
B.) True
C.) True
D.) True

no files please!!!!!!!!!!!

Answers

Answer:

(-1/2, 3)

Explaination:

Multiply the second equation by 2, then add the equations together.

(4x-y=-5)

2(-2x+3y=10)

Becomes:

4x-y=-5

-4x+6y=20

Then add the equations to eliminate x.

5y=15

then solve 5y-15 for y. (Divide both sides by 5)

5y/5 = 15/5

y= 3

Okay, now we have found y where going to plug it in an equation to solve for x

Going to chosse equation : 4x-y=-5

Subsitue 3 for y in 4x - y = - 5

4x - 3 = -5

( Add 3 to both sides)

4x - 3 + 3 = - 5 + 3

4x = -2

(Divide both sides by 4 )

4x/4 = -2/4

x= -1/2

Given f(x)=3x^3+kx-8, and the remainder when f(x) is divided by x-3 is 43, then what is the value of k?

Answers

Answer:

k= - 10

Step-by-step explanation:

43 = - 8 +3(27+k)

3(27+k) = 51

27 + k = 17

k = - 10

10
Select the correct answer
Mike launches a stone using a catapult from a height of 160 feet. The stone reaches its maximum height of 250 feet after 3 seconds, and it hits the ground after 8 seconds.
Which of the following graphs represents the trajectory of the stone?

Answers

Answer: W

Step-by-step explanation:

i took the test

Nelson's triangle has angles of 62° and 74° what is the measure of the third angle​

Answers

Answer:

44

Step-by-step explanation:

Since a triangle has a total of 180 degrees, 62+44=136

180-136=44

Evaluate 6h when h =8

Answers

I thin is 16
Because h converts in 8, so you multiply
Hope that helps:)

Which of the following is true about a pattern with the rule "Multiply by 2 and then add 1"
and a starting number of 1?

Answers

Answer:

b

Step-by-step explanation:

Answer: B

Step-by-step explanation: I think hope this helps

Tuition for one year at state technical institute is about 4200. Josh would like to attend this institute and will save money for each month for 4 years. His parents will give him 1500 for his first years tuition. What’s the minimum amount of money josh must save to have enough money to pay for Josh’s first year of tuition?

Answers

Answer: pretty sure it’s $56.25

Step-by-step explanation:

4200-1500= 2700 divided by 48 months (4 years).

A rectangle garden that measures 6 feet by 8 feet is roped off to form a right triangle

Answers

Answer:

6•8=48

48/2=24 ft

Step-by-step explanation:

The right triangle is half of the rectangle

Other Questions
Equation of a line Equation of a line. IF YOU KNOW, PLEASE HELP ME THIS I HAVE TO SUBMITTED TODAY!!! ( Write the Equation of the line in fully simplified slope- intercept form Simplify 1 1/8 x 4 +2 5/6 x 3 Help!!!!!! Which function is best represented by this graph Goals should have a starting and an ending date.FalseTrue Literary Imagery"The shop fronts stood along that thoroughfare with an air of invitation, like rows of smiling saleswoman." What is the empirical formula for a compound that has 1.5 moles of copper and 0.5 moles of phosphorus? PLZZZZZZZ HELPPPPPPPPPPP:)))) Which of the following statements is true regarding Stalin and Hitler They made an agreement to not attack each other which was broken by Stalin They both fought on the Axis side They made an agreement to not attack each other which both sides followed They made an agreement to not attack each other, which was broken by Hitler a general term for an illustration or a visual representation of information WHAT THE HECK IS THAT SHAPE PLEASE HELP IM SLOW can some one give th the right anwser and no website plz ill give u brainlynest PLEASE HELP ME I REALLY NEED IT PLZZ !! Both Wonderful Things and Egypts Master Builders highlight the importance the Ancient Egyptians placed on preserving their cultural heritage. Your task now is to create a proposal for your city/town council on the need to create and construct a cultural heritage museum for your community. Use the following guidelines as you complete this task.Create an outline for a proposal addressed to your city/town council on the need to develop a community cultural heritage museum.Establish your purpose in creating this museumgive reasons and evidence that stress the importance of the project to the council members.Identify the types of objects, artifacts, documents, and memorabilia that will be part of your museum and give evidence to support the inclusion of these articles.Explain the design of the building you have in mindthink about the materials which will be used in construction and what you want the building to look like. Evaluate how the building itself will be a representation of your community.Identify resources and funding the city/town can utilize in the construction of the museum. The structure composed of a sheet of simple squamous epithelial cells that's folded onto itself to form a double layer is a A 15.0 mL solution of Sr(OH) is neutralized with 21.1 mL of 0.350 M HCl. What is the concentration of the original Sr(OH) solution? BRAINLIEST TO CORRECT ANSWER! :) NO links as answers, or you will be reported!! (question 20) what can detect 8 colors?- the touch sensor-the color sensor-the ultrasonic sensor-the gyro sensor Read each statement below. Write T on the space provided if you think the statement is TRUE and F if the statement is FALSE. Write your answers in your activity notebook._________1. Prejudice is the opinion or viewpoint while discrimination is the action._________2. If someone is thinking poorly of another person for his belonging to a certain race, or for having different religious beliefs then he has prejudice._________3. Bias and discrimination are alike._________4. Prejudice is taking action based on a discrimination._________5. The tendency to favor one person, group, thing or point of view over another, often in an unfair way is called bias.I hope you can help me NON-SENSE = Report Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters plsssssssssssssssssssssssssssssssssss help