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

Your friend earns 7x dollars for
working x hours. How much does
your friend earn for working
16 hours? 40 hours?
16 hours $
40 hours $

Answers

16 Hours would be 112 and 40 hours would be 280

hi please helpppppppp

Answers

Answer:

The answer is C

Step-by-step explanation:

Hope it helps:)))

Can i have brainy plzzz

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

x = 112

Step-by-step explanation:

1/8x + 2 = 16

Subtract 2 from both sides

1/8x = 14

Multiply both sides by 8

x = 112

A.Vertical
B.Adjacent
C.complementary
D.Supplementary
E.none

Answers

Answer:

none or vertical

Step-by-step explanation:

I think sorry if I get that wrong

The scatter plot shows how much puppy weighs within a certain time period. about how much did the puppy gain during this time period?

Answers

Where is the picture to answer it?

what are the coordinates of the resulting point (2,1)

Answers

x axis 2 y axis 1

i dont know really kno i think im right tho

What is the slope of a line that passes through the points (12,7) and (-14,19)?
F) -13/6
G) -1
H) -6/13
J) 3

Answers

Answer:

H) -6/13

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:

[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]

So, Option H is correct.

martin has \frac{5}{6} of pizza liam has 4 times as much pizza

Answers

Answer:

10/3 pizza

Step-by-step explanation:

step one:

This problem is focused on ratios and fractions

from the problem statement, Martin has 5/6 pizza

Liam has 4 times more of what Martin have

step two:

so we can express what Liam has as

=(5/6)*4 = 20/6or

=5/6+5/6+5/6+5/6= 20/6

= 20/6

El largo de una casa es el triple de su ancho. Si a la longitud se suma 40 metros y al ancho 1 metro, el área se triplica

Answers

Answer:

el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

width is 8 meters and length is 3*8= 24 meters

Step-by-step explanation:

Spanish

Si el ancho de la casa de la casa es x, entonces el largo de la casa es 3x.

Entonces el área = largo * ancho

área = 3x * x = 3x²

3 multiplicado por área = 9x²

9x² = (3x + 40) (x + 1)

9x² = 3x² + 3x + 40x +40

9x² = 3x² + 43x +40

0 = -6x² + 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40 = 0

Usando ecuación cuadrática

a = 6, b = -43, c- = -40

x = - b ± √b²- 4ac / 2a

x = 43 ± √1849- 4 (6) (- 40) / 12

x = 43 ± √1849 + 960/12

x = 43 ± 53/12

x = 43+ 53/12 y x = 43-53 / 12

x = 96/12 y x = -10/12

x = 8 y x = - 5/6

Ignorando el valor negativo x = 8 el ancho es de 8 metros y el largo es 3 * 8 = 24 metros

English

The length of a house is three times its width. If 40 meters are added to the length and 1 meter to the width, the area is tripled

If the width of the house of the house is x then the length of the house is 3x.

Then the area = length * breadth

area= 3x*x= 3x²

3 times area= 9x²

9x²= (3x+40 )(x+1)

9x²= 3x²+ 3x +40x +40

9x²= 3x²+ 43x +40

0 = -6x²+ 43x +40

0 = 6x²- 43x - 40

6x²- 43x - 40= 0

Using quadratic equation

a= 6 , b= -43 , c-= -40

x= - b±√b²- 4ac/ 2a

x= 43±√1849- 4(6)(-40)/ 12

x= 43±√1849+960/ 12

x= 43± 53/ 12

x= 43+ 53/ 12 and x= 43- 53/ 12

x= 96/ 12 and x= -10/ 12

x= 8 and x= - 5/6

Ignoring the negative value x= 8 width is 8 meters and length is 3*8= 24 meters

Based on a random sample of 500 people, 45 reported they have more than one
dog. Based on these results, how many out of 1,200 people would you expect to
have more than one dog?
A
1,008
B
60
С
165
D
108

Answers

Answer:

I’m guessing 108 or 165

Step-by-step explanation:

because if 45/500 if you double that it would be 90/1000. after 200 is about half of 500 so 45 divided by 2 is 22.5. yeah i’m like no help sorry

HELP ME giving brainlest

Answers

Answer:

The answer is false.

Step-by-step explanation:

THE reason why it is false is because if so that wouldnt make any sense.

The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.

Answers

Answer:

1 / 12 ; $1

Step-by-step explanation:

Pan was 1/4 full and she buys 1/3 of the cornbread in the pan

The fraction of cornbread she buys is :

1/3 of 1/4

1/3 * 1/4 = 1/12

Hence, she bought 1/12 of cornbread

The amount she pays :

Cost of 1 pan = $12

Therefore, the cost of 1/12 of a pan will be :

1/12 * $12 = $1

Hence, she'll pay $1

Mr. Brown owns a hardware company and has two trucks that are used to carry supplies. Truck A can carry a total of 3.45 tonnes and truck B 1500kg. What is the combined weight in kg? *

Answers

Answer:

4950kg

Step-by-step explanation:

PLEASE HELP I WILL MARK BRANLIEST FOR FIRST AND CORRECT ANSWER AND NO LINKS

Answers

Answer:

I think the Las t answer

Step-by-step explanation:

prime minister and members of the legislature

Answer:

Prime ministierer only :P

(2p^3 · 2p)^2
HELLO I NEED HELP

Answers

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2 We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)

Answers

Answer: -1

Step-by-step explanation: ANSWER : -1

f(x)=3x−1=y

⇒x=3y+1

∴f−1(y)=3y+1

⇒f−1(x)=3x+1

g(x)=5x+6=z

⇒x=5z−6

g−1(z)=5z−6

⇒g−1(x)=5x−6

g−1(f−1(x))=g−1(3x+1)

=53x+1−6

=15x−17

∴g−1(f−1(2))=

does anyone know the answer?

Answers

Answer:

Step-by-step explanation:

Answer:

It's E l did that before

PLEASE HELPPPPPP URGENT

Answers

Answer:

Step-by-step explanation:

CD matches with ST on the shapes.

Wendy borrowed a 370-page book from the library. She has already read 20 pages. The book is due back to the library in 7 days. Write an inequality to find the number of pages per day Wendy must read in order to finish the book before it is due.
0 points

Answers

Answer:

n ≥ 50

Step-by-step explanation:

Total pages = 370

Read pages = 20

Number of days remaining = 7

Reading rate per day = n

7n + 20 ≥ 370

7n ≥ 370 - 20

7n ≥ 350

n ≥ 350/7

n ≥ 50 pages per day for the remaining 7 days

Find the value of X?

Answers

Answer:

Using this to get my answer done ;)

Step-by-step explanation:

hehe

The value of X would be 18

a pizza has a radius of 2.5 feet what is the circumference of the pizza

Answers

Should be 5pie formula for circumference of a circle is 2 pie R so we just plus in 2.5 for the radias.

rename the mixed number as an improper faction

a. 3/5
b. 12/5
c. 2/6
d 7/5

Answers

Answer:

Step-by-step explanation:

please solve Y Im in desperate need of help..

Answers

Answer:

Y = 10

Explanation:

We know that the left and top angles are 45°, the base is 10, and the bottom right angle is 90°, or a right angle. The simplest way I can explain this is the bottom side of the triangle is the same as the right side of the triangle. Meaning "y" would be 10 like the bottom.

If I'm right, I'd appreciate a brainliest as it'd really help me out :D

helpppppppppppppppppppppppppppppppppp please!

Answers

Answer:

Answer: 7u - 63

Step-by-step explanation:

If the terms are different, and they are in this case, then the answer must be 2 terms separated by a minus sign.So write the minus sign first. - Now 7 * u = 7u7 * 9 = 63Put the 7u on the left side of the minus.Put the 63 on the right side.7u - 63

PLEASE I NEED HELP FAST! Suppose RT = 9 in. and ST = 4 in. Is it possible to find the length of TU ? If so, show how to find the length. If not, explain why not

Answers

Answer:

ummm there is no picture showing for me

Step-by-step explanation:

Sara is packing for vacation she is taking three shirts: yellow (y) white (w) and green (g) she is also taking a pair of jeans (j) a pair of black pants (b) and pair of shorts (s) for shoes, she is packing tennis shoes (t) and a pair of dress shoes (d) each outfit will be made of 1 shirt 1 pair of pants and 1 pair of shoes

Answers

Answer:

She has 18 combinations to choose from

Step-by-step explanation:

The tree diagram is as follows

yellow (y) ⇒⇒⇒⇒⇒ a pair of jeans (j)

║ ║⇒⇒⇒⇒⇒⇒⇒⇒⇒tennis shoes (t)