A consumer agency is interested in examining whether there is a difference in two common sealant products used to waterproof residential backyard decks. With cooperation of several builders in the area, they randomly assign 38 newly constructed decks to be treated with Very Clear deck sealant and another 37 newly constructed decks to be treated with Sure Seal deck sealant. After one year of being exposed to similar weather conditions, the decks are rated on a scale of 1 to 100. The mean rating for the decks treated with Very Clear is 89.2 with a standard deviation of 3.1. The mean rating for the decks treated with Sure Seal is 92.4 with a standard deviation of 3.8.

Required:
What represents the 90 percent confidence interval to estimate the difference (Very Clear minus Sure Seal) in mean ratings for the two deck sealants?

Answers

Answer 1

Answer:

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)

Step-by-step explanation:

Very clear deck :

n1 = 38

x1 = 89.2

s1 = 3.1

Sure seal

n2 = 37

x2 = 92.4

s2 = 3.8

Confidence interval for difference in sample means :

(X1 - X2) ± margin of error

(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))

Using the degree of freedom calculator ; df = 70

Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))

Tcritical at 90% confidence interval, df = 70 = 1.688

Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)

Confidence interval :

(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)


Related Questions

Carlo rode his bicycle from his house to his friend Kevin's house. From there, he rode to a video game
store. Then he rode 3.2 kilometers from the video game store back to his house. The arrows in the grid
show the path Carlo traveled. How many kilometers did Carlo ride his bike? Round your answer to the
nearest tenth of a kilometer.
12.3 kilometers
10
9
8
6.5 kilometers
7
Kevin's House (25,6)
6
5
4
13.7 kilometers
3
2
Video Game Store (25,2)
15.7 kilometers
5 6 7 8 9 10
1 2 3 4
Carlo's House (0,0)​

Answers

Answer:

The answer would be approximately 13.9, so if 13.9 is not a choice just pick what closest to it.

Step-by-step explanation:

Answer:

13.7

Step-by-step explanation:

Find the distance between the pair of points (3, 5) and (-3, 8)

Answers

Answer: 3

Step-by-step explanation:

v ÷ 2= Algebra mathematics

Answers

Answer:

V/2 is the answer.

Step-by-step explanation:

V2 is V * 2, which is the opposite of what you want.

What is the length of AB?

Answers

Answer:

AB = 5

Step-by-step explanation:

The side opposite the 30 degree angle will have the shortest length. The side opposite the 60 degree angle will be  √3  times as long, and the side opposite the 90 degree angle will be twice as long.

In this case we just divide 10 by 2

Answer:

5 cm

Step-by-step explanation:

Sin 30° = opposite / hypothenus

= AB / 10cm

AB = sin 30° × 10 cm

= 5 cm

I GIVE BRAINLIEST :)

Question is in picture, tysm

Answers

Answer:

No x^3 times x^5 is not equal to x^15. It is equal to x^8

Step-by-step explanation:

x3x5

=x3*x5

=(x*x*x)*(x*x*x*x*x)

=x*x*x*x*x*x*x*x

=x8

Answer:

See explanation

Step-by-step explanation:

[tex]x^{3} = x*x*x\\x^{5} = x*x*x*x*x\\x^{3} x^{5} = x*x*x*x*x*x*x*x = x^{8}[/tex] ≠ [tex]x^{15}[/tex]

5. Write 21/25 as a percent * O 84% O 80% o 21% 25%​

Answers

Answer:

84%

Step-by-step explanation:

21/25 = 84/100 = 0.84 = 84%

Answer: 84%

In 2009 Zambrano's salary was 18,750,000. He pitched in 28 games in 2009. What was his salary per game in 2009? Round to the nearest cent.​

Answers

Answer:

his salary per game is  669,643

Step-by-step explanation:

The computation of the salary per game in the year 2009 is shown below

Given that

His salary  in the year 2009 is 18,750,000

And, he pitched 28 games in the year 2009

Based on the above information

His salary per game is

= 18,750,000 ÷ 28 games

= 669,643

hence, his salary per game is  669,643

The same is relevant

A movie theater charges 7 for an adult ticket and $4 for child ticket. One day the theater 565 tickets for $2920How many child tickets were sold for the movie that day?

Answers

Answer:

Adult =$7------x

Child=$4-------y

Total Tickets= 565= $2920

7x+4y = 2920

x+y= 565

x=565-y

7(565-y) + 4y= 2920

3955 - 7y +4y= 2920

-3y=2920-3955

y=1035/3= 345

x= 565-345= 220

child= 345

Simplify 45÷3[90÷45{6+3(19-16)}]​

Answers

Step-by-step explanation:

45÷3[90÷45{6+3(19-16)}]

45÷3[90÷45{6+3(3)}]

45÷3[90÷45{6+9}]

45÷3[90÷45{15}]

45÷3 [90÷675]

[tex]\frac{\cancel{45}^\ {15}}{\cancel3} * \frac{6}{45}[/tex]

[tex] \cancel{15} × \frac{6}{\cancel{45}^\ {3}}[/tex]

6/3

2

[tex]\\\\\\[/tex]

The equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.

What is PEMDAS rule?

PEMDAS exists as an acronym for the terms parenthesis, exponents, multiplication, division, addition, and subtraction.

How to simplify the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]?

Given:

[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex]

45/3 = 15

Simplifying the given equation, we get

[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]=15\left[\frac{90}{45}+3(19-16)\right][/tex]

90 / 45 = 2

By simplifying the above equation, then we get

= 15[2 + 3(19 -16)]

By using the PEMDAS rule

15[2 + 3(19 -16)] = 11

[tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right]= 15*11[/tex]

= 165

Therefore, the equation of [tex]$\frac{45}{3}\left[\frac{90}{45}+3\left(19-16\right)\right][/tex] is 165.

To learn more about PEMDAS rule refer to:

https://brainly.com/question/17297306

#SPJ2

What is 498,235 rounded to the
nearest thousands?

Answers

Answer:

498,000

Step-by-step explanation:

Hi my question is what is ma name?​

Answers

what do you mean there is no question

A shark was swimming at 300 feet below sea level. He swam 300 feet up toward the surface. How many feet above sea level is the shark now?

Answers

Answer: the shark is at sea level

Step-by-step explanation: is you are 300 beneath the sea level that's -300 and if you go up 300 ft that +300. So 300+(-300) gives you 0 making the shark at sea level.

A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.4 MB. Yesterday, there were 1140 downloads of the song, for a total download size of 4522 MB. How many downloads of the standard version were there?

Answers

Answer:

the number of downloads of the standard version is 260

Step-by-step explanation:

Let us assume the downloads of the standard version be x

And, the download of the high-quality version be y

Now as per the question

2.5x + 4.4y = 4522 .........(1)

x + y = 1140

y = 1140 - x .......................(2)

Now put the value of equation 2 in the equation 1

So,

2.5x + 4.4 (1140 - x) = 4522

2.5x + 5016 - 4.4x = 4522

-1.9x = -494

x = 260

Hence, the number of downloads of the standard version is 260

Do the ratios 5/18 and 1/2 form a proportion?

Answers

Answer:

No they do not.

5/18 ≠ 1/2

If it did, it would be 9/18

Hope that helps!

Step-by-step explanation:

the kitchen is 20 feet long and 10 feet wine how many square feet of flooring does Bob need to buy​

Answers

Answer:

200 ft squared of   W I N E

Step-by-step explanation:

W I N E

Which of the following is a rational number but is NOT an integer?

F. 8

G. 24

H. 40/4

J. 6.2

Answers

I think the answer is G

The following equation is true for all real values of k for which the expression on the left is defined, and A
is a polynomial expression.
6k2 – 36k k2 + 12k + 36
А
k2 - 36
1
What is A?

Answers

Answer:

A = 6k(k + 6)

Step-by-step explanation:

We have to solve the given equation for the value of A,

[tex]\frac{6k^2-36k}{A}.\frac{k^2+12k+36}{k^2-36}=1[/tex]

[tex]\frac{(6k^2-36k)(k^2+12k+36)}{A(k^2-36)}=1[/tex]

(6k² - 36k)(k² + 12k + 36) = A(k² -36)

6k(k - 6)(k + 6)² = A(k - 6)(k + 6)

A = [tex]\frac{6k(k-6)(k+6)^2}{(k-6)(k+6)}[/tex]

A = 6k(k + 6)

Therefore, value of A is 6k(k + 6).

Expert Card has an APR of 16.2% compounded monthly. Passport has a daily periodic interest rate of 0.0398%. Explore has a monthly periodic interest rate of 1.35%. Which card has the higher APR?

Answers

Answer:

Explore is Answer

Step-by-step explanation:

What is the length of arc LM?

Answers

Answer:

C. 9π/2

Step-by-step explanation:

Full circle is:

C = 2πr = 2π*6 = 12π

Arc length of LM is:

12π * (3π/4 ÷ 2π) = 12π*3/8 =9π/2

Correct choice is C

Length

rØ3π/4(6)3π/2(3)9π/2

WILL GIVE BRAINLIEST IF YOU HELP
There are 12 girls and 13 boys in math class. What percent of the class are girls?

Answers

Answer:

Total # of students = 12 + 13 = 25

%-Boys = (12 / 25) x 100% = 48%

Step-by-step explanation:

What is the domain and the range of: (2,3), (3,5), (2,7), (4,8)

Answers

Answer:

Domain: {2, 3, 4 }

Range: {3, 5, 7, 8}

Step-by-step explanation:

hope this helps and is right. p.s. i really need brainliest :)

Ahab counted vehicles in a parking lot. 5 out of 15 were go-carts. If this trend continues and he counts 9 more vehicles, how many of them will be go-carts?​

Answers

5 of 15 are go carts. That’s 1/3
1/3 of 9 is 3

Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate not a real number. ​

Answers

Answer:

Hi how are you doing today Jasmine

Cassidy's family built a swimming pool that is
5 meters longer than it is wide. It has an area of
36 square meters. Find the dimensions of the pool

Answers

Answer:

 

Step-by-step explanation:

‎‎‎‎‎‎‎‎‎‎‎‎        

Answer:

4 meters wide and 9 meters long

Step-by-step explanation:

equation- A=wl=4·9=36

I NEED HELP ASAP PLEASE HELP

Answers

Answer:

a) lilla has 1/5 of the book left to read

b) lilla has 15 pages left to read

Step-by-step explanation:

a) 1/5 + 3/5 = 4/5

b) 75÷ 5= 15

15× 4= 60

75-60= 15

The digit 3 in which number represents a value of 3 tens ?

Answers

Answer:

30

Step-by-step explanation:

Answer:

3 times 10 + 5 times 1

Step-by-step explanation:

give me a correct answer, My answer probably wrong.

Answers

Hello!

This is a problem about the general solution of a differential equation.

What we can first do here is separate the variables so that we have the same variable for each side (ex. [tex]dy[/tex] with the [tex]y[/tex] term and [tex]dx[/tex] with the [tex]x[/tex] term).

[tex]\frac{dy}{dx}=\frac{x-1}{3y^2}[/tex]

[tex]3y^2dy=x-1dx[/tex]

Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.

[tex]y^3=\frac{1}{2}x^2-x+C[/tex]

Then here, we just solve for [tex]y[/tex] and we have our general solution.

[tex]y=\sqrt[3]{\frac{1}{2}x^2-x+C}[/tex]

We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.

Hope this helps!

Your bank give you 6% annual interest compounded quarterly on all savings account balances. Which of the following is the multiplier used when modeling this situation

A. 1.015
B. 1.02
C. 1.04
D. 1.06
E. 0.94

Answers

It’s probably A 1.015 or 1.02

WILL GIVE BRAINLIEST BUT PLEASE ANSWER NOWWWWWWW MUST BE CORRECT

Answers

Answer:

1. x = 2, y = -2 prod: -4 / 2 = -2

2. x = 6, y = -6 prod: -36 / 2 = -13

3. x = -1, y = -1 prod: 1 / 2 = 0.5

4. x = -4, y = -1 prod: 4 / 2 = 2

5. x = 10, y = -1 prod: -10 / 2 = -5

Answer:

we need the answer for median

Step-by-step explanation:

pls help me on this !!!

Answers

Answer:

9

Step-by-step explanation:

To solve this question you need the formula of hypothenuse theorem, I personally use [tex]a^{2} + b^{2} = c^{2}[/tex].

Since [tex]c^{2}[/tex] is the hypothenuse, and the hypothenuse in this case is 15, the equation will be [tex]12^{2}+ b^{2} = 15^{2}[/tex].

144+[tex]b^{2}[/tex]=225

subtract 144 from both sides

[tex]b^{2}[/tex]= 81

[tex]\sqrt{b^{} } = \sqrt{81}[/tex]

b=9

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