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

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:

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:

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:

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

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

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

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:

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.

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!

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.

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

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

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]

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

What is 498,235 rounded to the
nearest thousands?

Answers

Answer:

498,000

Step-by-step explanation:

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:

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 :)

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

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

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

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

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

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).

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

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%

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:

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

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

Answers

Answer: 3

Step-by-step explanation:

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

Hi my question is what is ma name?​

Answers

what do you mean there is no question

Other Questions
Which of the following statements is NOT true about trade in medieval northern and western Africa?A-Northern and western Africa had few natural resources to tradewith other regions.B-Traders in northern and western Africa had regular contact withMuslim merchants in Arab lands.C-Trade in the region relied heavily on gold and salt.D-People and goods in the region traveled east to west across theSahara Desert. Find the exact value of each trigonometric function using the unit circle The chapter explained why exporters cheer when their home currency depreciates. At the same time, domestic consumers find that they pay higher prices, so they should be disappointed when the currency becomes weaker. Why do the exporters usually win out, so that governments often seem to welcome depreciations while trying to avoid appreciations? (Hint: Think about the analogy with protective tariffs.) Find the slope of the line that passes through the points (2, 1) and (-4, -5). 10. A solution contains 130 grams of KNO3 dissolved in 100 grams of water When 3 more grams of KNO3 is added, none of it dissolves, nor do any additional crystals appear. The temperature of the solution is closest toA.65 Celsius B. 68 CelsiusC. 70 CelsiusD. 72 Celsius how does the water cycle sustains life plz help! !! How many people have larger than a size 10 shoe? Find the slope of the line that passes through (3, 5) and (8, 1). Simplify your answer and write it as a proper fraction, improper fraction, or integer. An entrepreneur is considering the purchase of a coin-operated laundry. The current owner claims that over the past 5 years, the mean daily revenue was $675 with a population standard deviation of $75. A sample of 30 days reveals a daily mean revenue of $625. If you were to test the null hypothesis that the daily mean revenue was $675, which test would you use will give brainlyist need help ASAP Put in order from least to greatest89.0398.039.83 a large heavy truck and a baby carriage roll down a hill. Neglecting friction, at the bottom of the hill, the baby carriage will likely have A. less momentum, B. about the same momentum, C. more momentum or D. double the momentum of the truck Which statement best describes hopping viewpoint and purpose in this excerpt? Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1500 bacteria selectedfrom this population reached the size of 1805 bacteria in four hours. Find the hourly growth rate parameter.Note: This is a continuous exponential growth model.Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.00E WILL GIVE BRAINLIEST REPORTING SPAM AND LINKSBetween 1877-1900, the South changed considerably. Which of the following statements accurately describes one of the changes that occurred?African Americans had fewer rights and experienced more segregation at the end of this time period.The South moved to a predominately industrial economy by the end of this time period.African Americans had fewer rights and experienced more segregation at the beginning of this time period.Farmers suffered more economically at the beginning of this time period. Fill in the missing information for each Punnett square below: Which alcohol will behave most like water? C 10H 21OH C 2H 5OH C 7H 15OH C 4H 9OH A cowboy hat manufacturer was interested in knowing how to price his or her work based on data rather than "gut feelings." He or she found that pricing concepts involve a language of special terms. Fill in the blanks with the word or phrase from the drop-down list that is among these special terms and would best complete each sentence. Words may be used more than once._____ refers to the portion of sales revenue left over after paying the product costs of cowboy hats. Target ____ are often based on norms in the hat industry. Cost-based pricing for cowboy hats uses the_____ plus a target _____ to calculate the sales price. Other term for margin is _______.- margin- markup percentages- product costs/ markup precentage What is the distance between the following points Sophie invested $93,000 in an account paying an interest rate of 5.6% compounded quarterly. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $170,500?