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

Help please, due soon!

Answers

Step-by-step explanation:

Volume of Cylinder =

[tex]\pi {r}^{2} h[/tex]

given r = 10 in

h = 30 in

Volume of Cylinder =

[tex]\pi( {10}^{2} )(30) \\ = \pi(100)(30) \\ = 3000\pi \: {in}^{3} \\ = 9424.8 {in}^{3} [/tex]

Please take note in this case choose the answer closest to the answer calculated.

Answer:

9,420 in^3

Step-by-step explanation:

V = π r^2 h

V = 3.14 · 10^2 · 30

V = 3.14 · 100 · 30

V = 3.14 · 3,000

V ≈ 9,420

Jeff and Kathy are in a walking race. Kathy is faster and walks 3 meters per second. Jeff walks 2 meter
per second. Jeff gets a 24 meter head start.
At what time are Kathy and Jeff at the same distance in the race
1. 3 seconds
2. 30seconds
3. 36 seconds
4. 24 seconds

Answers

Answer:

24 seconds

Step-by-step explanation:

3*24=72

24*2=48

48+24=72

Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Answers

2x-7 and 2+7 are the answers

at a high school, there are 3,510 students. the ratio of seniors to juniors to sophomores to freshmen is 4:6:5:3. How many students are in each class

Answers

Answer:

seniors: 780

juniors: 1170

sophomores: 975

freshmen: 585

Step-by-step explanation:

4 + 6 + 5 + 3 = 18

3510/18 = 195

195(4) = 780

195(6) = 1170

195(5) = 975

195(3) = 585

Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent)

Answers

Answer:

160%

Step-by-step explanation:

(65 - 25 )/25  x 100% = 160%

Hellpppp me please this test is my whole life and if I don’t pass I’m ruined for life so please HELPPPP MEEEEE

Answers

Answer:

expanded form: 5 * 5 * 5

value: 125

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

C.

Step-by-step explanation:

The median is the line in the middle of the box plot.

C is the answer because 75 is the largest median out of all the choices.

PLZ HELP DUE IN 45 MIN
If angle ABD is 125° and angle BAC is 40° what is the angle measurement of BCA?

Answers

Answer: C. 85

Step-by-step explanation: subtract 125 from 40

Angle ABC is 180-125=55
So angle BCA is 180-(55+40)=180-95=85

Pls help I'm sleep deprived rn and am almost done with this

Answers

Answer:

6π units

Step-by-step explanation:

Given::

Radius = 4

Angle measure of partial circle (θ) = 360° - right angle = 360° - 90° = 270°

Arc length = θ/360 × 2πr

Plug in the values

= 270/360 × 2 × π × 4

= 0.75 × 8 × π

= 6π units

The numbers of licensed drivers in four samples taken from a population of
students are shown in the table below. Which of the following choices is most
likely closest to the percentage of students in the population who are
licensed drivers?
Sample Size Number of Licensed Drivers
25
7
50
12
75
15
100
16
O A. 16%
O B. 20%
ОООО
C. 24%
O D. 28%

Answers

Answer:

The answer is 16% I just took the test

Step-by-step explanation:

Is urgent If a line passes through the points (2, 7) and (7,9), its slope is
necessary, use the slash (/) to indicate a fraction.
If

Answers

Answer and working out attached. Hope this helps

A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $8 the average attendance per game has been 20000. When the price dropped to $6, the average attendance rose to 27000. Assume that attendance is linearly related to ticket price.

Find a function that models the per game revenue in terms of the price
p


R
(
p
)
=



What ticket price would maximize revenue? (round to the nearest cent)

Answers

9514 1404 393

Answer:

  R(p) = -3500p^2 +48000p . . . revenue function

  $6.86 . . . price for maximum revenue

Step-by-step explanation:

The 2-point form of the equation for a line can be used to find the attendance function.

  y = (y2 -y1)/(x2 -x1)(x -x1) +y1

  y = (27000 -20000)/(6 -8)(x -8) +20000

  y = -3500(x -8) +20000

  y = 48000 -3500x . . . . y seats sold at price x

The per-game revenue is the product of price and quantity sold. In functional form, this is ...

  R(p) = p(48000-3500p)

  R(p) = -3500p^2 +48000p . . . per game revenue

__

Revenue is maximized when its derivative is zero.

  R'(p) = -7000p +48000

  p = 48/7 ≈ 6.86

A ticket price of $6.86 would maximize revenue.

Find the radius of a circle with an area of 1,124 sq feet.

Answers

The radius is 18.92 ft

Paul, Brendan, and Charlie are chopping wood. It would take Paul 10 hours to chop up one cord of firewood. It would take Brendan 12 hours to chop one cord, and it would take Charlie 15 hours to do the same job by himself. How long will it take the three of them working together?

It will take blank hours for the three boys to chop up one cord of firewood.

The solution is

Answers

Answer: It will take the 4 hours

What is the value of K?

Answers

The value of K is 10

please show an actual answer i need help

Answers

Answer:

1. wire is approx. 143.96 ft

2. pole is approx. 106.55 ft

Step-by-step explanation:

Mapping the information on the SOHCAHTOA picture below:

Φ = 46

wire = hypotenuse

adjacent side = 100

CAH is most suitable:

cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96

pole = opposite side + 3

TOA is most suitable:

tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55

Work out the answer when,
'the largest prime number that is a factor of 35'
is multiplied by
'the smallest prime number that is a factor of 12'.
[2]

Answers

Answer:14

Step-by-step explanation:

The largest Prime factor of 35 is 7 (factors of 35 are 1,5,7,35)

the smallest prime factor of 12 is 2 (factors of 12 are 1,2,3,4,6,12)- and 1 is not Prime

7*2=14

pls help me on this !!!

Answers

Abcdefghijklmnopqrstuvwxyz

Answer:

50

Step-by-step explanation:

22 + 18 = 40

90 - 40 = 50

no way you can round it

Find the measure of arc HJ.

Answers

Answer:

98 degrees

Step-by-step explanation:

HJ = (5x - 7)

Because it's a full circle:

61 + 34 + (5x - 7) + (9x - 22) = 360

95 + (14x - 29) = 360

14x = 360 - 95 + 29 = 294

x = 21

HJ = 5x - 7 = 5 * 21 - 7 = 105 - 7 = 98

Question 7 (2 points)
Given the function rule y = 3x + 11, what is the value of x if y = 57
Hint: Make sure you are substituting for the correct variable!

Answers

Step-by-step explanation:

3x+11=57

subtract 11 from both sides and you will get this

3x=46

Divide by 3

42/3. 3/3

X=14

Answer:

15.333

Step-by-step explanation:

3x+11=57(y)

reverse the question

so:

57-11=46

46 divided by 3=15.333

so x=15.333

hope that helps

thank you

19NBoli

Which of the following best describes the graph of the logarithmic function
given below?

Answers

Answer:

A) Decreasing

Step-by-step explanation:

By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.

Answer:

decreasing

Step-by-step explanation:

The lines shown below are parallel. If the green line has a slope of-4, what is
the slope of the red line?
10
A.
B. 4
- 10
-5
5
10
C. -4
O
-5
D.
4
10 -

Answers

I’m pretty sure it’s D

Th slope of red lines is -4

What is parallel lines?

Parallel lines in geometry are coplanar, straight lines that don't cross at any point. In the same three-dimensional space, parallel planes are any planes that never cross. Curves with a predetermined minimum distance between them and no contact or intersection are said to be parallel.

The property of parallel lines states that slope of both lines will b same.

Therefore slope of red lines is -4

To know more about  parallel lines refer to:

https://brainly.com/question/5020723

#SPJ2

If a family has four children, determine the probability that exactly two of the
children are girls

Answers

Answer:

the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%

Step-by-step explanation:

The coordinate grid shows the plot of four equations.
Which set of equations has (-1, 5) as its solution? (4 points)
1) A and B
2) B an d 3) A and C 4) B and C

Answers

Answer:

Your answer would be A and B

Step-by-step explanation:

Simply look for the coordinates on the graph and look for the name of the lines that intersect there.

PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?

2) How many degrees are in 11π over 6?

Answers

Answer:

1) about 1.57 radians

2) I'm not sure about this one sorry

Evaluate 7 + 5^ 2 . 4. ​

Answers

7+5^2.4

=7+47.591348

=54.591348

Answer: 7 + 5^ 2 . 4= 107 if you evaluate sorry if i am wrong

Step-by-step explanation:

-12 + ( ) = 9 whats the missing number

Answers

Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

What is the simple interest rate for a $5,000 investment
that become $5,750 at the end of 2 years?

Answers

Answer: the answer is r=7.5%

Step-by-step explanation:

You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown

Now you plug in what you know:

5750=5000(1+2r)

Divide 5000 on both sides

Decimal form: 1.15=1+2r

Subtract -1 on both sides

0.15=2r

And lastly divide by 2 on both sides

0.075=r

BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE

r=0.075*100=7.5%

A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk?

Answers

3/4 cups of water is needed for one cup of milk

Answer this please I’ll give brainalist + points, please help!

Answers

Answer:

The answer is C because the largest mode is the longest set with the biggest numbers

Step-by-step explanation:

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