Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298
Why is it possible for condition means to differ at the end of an experiment even if the independent variable had no effect
Round 14.63486 to 3 decimal place
Answer:
15 would be the rounded up number.
does anyone know what the answers are to this question? thank you sm if you help!! :)
Convert 1/3 to a percent
Answer:
33 1/3%
Step-by-step explanation:
Answer:
33.3%
Step-by-step explanation:
We can also work this out in a simpler way by first converting the fraction 1/3 to a decimal. To do that, we simply divide the numerator by the denominator:
1/3 = 0.33333333333333
Once we have the answer to that division, we can multiply the answer by 100 to make it a percentage:
0.33333333333333 x 100 = 33.3333%
(Hope this helps can I pls have brainlist (crown)☺️)
Hello I need A helping Hand
Does the following relationship represent a function?
y = 5x
Answer:
yes because it does not have a exponent
Step-by-step explanation:
1) Jack bought 5 basketballs for $70. What was the price per basketball?
Answer:
14
Step-by-step explanation:
70/5 = 14
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answer:
NO
Step-by-step explanation:
Please help, thanks. NO LINKS!
Answer:
c
Step-by-step explanation:
Lets take a look at the line. We see that the point is between 5 and 6, which means A is wrong. Now lets just count the number of lines between the two points, where 5 is starting at 5 0/6 and 6 is 5 6/6. So as we go, we find that the point B is 4/6 of the way to 6. This means that the best answer is B) 5 4/6.
I hope this helps! :)
The formula to find the volume of a sphere is = 4 3, where is the radius of the 3
sphere. What is the formula in terms of ?
Answer:
d.
took the test
Step-by-step explanation:
y=x-7
6x-6y=-7
elimination method
Answer:
The system has no solutions.
Step-by-step explanation:
Let's write it in a more traditional form
[tex]\left \{ {{x-y=7} \atop {6x-6y=-7}} \right. \\[/tex]
Try staring at it for a bit, and then realize what you are being asked: find two numbers whose difference is - at the same time, 7, and -7/6. That's impossible.
Same result you get by elimination. Multiply the first by 6 and either add or subtract - your choice the second. In either case you will get 0 = 35 or 0=49, which are obviously absurd
the perimeter of an equilateral triangle is 14.4 cm. Find out the length of the side of that triangle in decimal fraction
Answer:
4.8
Step-by-step explanation:
Not sure if this is what you're asking but because it is equilateral each side is the same. So you divide 14.4 by 3, to get 4.8.
7+(4x8)-9
i need help this is weird
Answer:
30
Step-by-step explanation:
7+(4*8)-9
Multiply first inside the parentheses
7+(32)-9
Then add and subtract from left to right
39 - 9
30
Answer:
If x is a variable then the answer is 4x⁸ - 2
If x is a multiplication representation then the answer is 30
Step-by-step explanation:
If x is a variable:
1) Eliminate redundant parentheses
[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]
2) Subtract the numbers
[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]
3) Rearrange Terms
[tex]-2+4x^{8} \\4x^{8} -2[/tex]
Please answer! :(
Write YES if each equation below is Linear Equation in two variables, otherwise, NO.
___1. 4x - 2y = 1
___2. 6x² + 4y = 8
___3. m - 1n/2 = -8
___4. 1/y = 5
___5. 2x - 3y + 7 = 0
___6. 2a + 5 = 0
Please explain if possible, thank youu! :)
Linear Equation in two variables?
1. 4x - 2y = 1 ⇒ Yes 2. 6x² + 4y = 8 ⇒ No, the variable x has degree 2, not linear 3. m - 1n/2 = -8 ⇒ Yes 4. 1/y = 5 ⇒ No, one variable 5. 2x - 3y + 7 = 0 ⇒ Yes 6. 2a + 5 = 0 ⇒ No, one variablehelp! QUICK! NO BOTS!
Answer:
number 2 or 4 but i think 2
Step-by-step explanation:
Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
solve for k 5k-2=2k+4
Answer:
k = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTerms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
5k - 2 = 2k + 4
Step 2: Solve for k
[Subtraction Property of Equality] Subtract 2k on both sides: 3k - 2 = 4[Addition Property of Equality] Add 2 on both sides: 3k = 6[Division Property of Equality] Divide 3 on both sides: k = 2Answer:
k=2
Step-by-step explanation:
5k-2=2k+4
add 2 to both sides
5k=2k+6
subtract 2k to both sides
3k=6
divide both 3k and 6 by 3 to get k by itself
k=2
Identify the mistake in the solution below and explain how
to correct it. Determine the correct answer.
Algebra
3x - 5+ 3x = x + 8-x-1
6x – 5 = 2x + 7
4x - 5 = 7
4x = 12
x = 3
Steps
original problem
combine like terms
subtract 2x from both sides
add 5 to both sides
divide both sides by 4
-
Answer:
Mistake is on second line.
x = 2
Step-by-step explanation:
The first two lines are (I added the boldface):
3x - 5 + 3x = x + 8 - x - 1
6x – 5 = 2x + 7
The first line has x and -x. They add to 0.
The second line on the right side should have just 7, but the x and -x of the first line were incorrectly added together giving 2x.
The second line should be:
6x - 5 = 7
Add 5 to both sides.
6x = 12
Divide both sides by 6.
x = 2
8.
What is the distance between the two points?
(-5,7)
(7,2)
Answer:
13
Step-by-step explanation:
Use the distance formula to solve for the distance between two points.
[tex]d=\sqrt{(x2-x1)^2 + (y2-y1)^2[/tex]
Plug in your coordinate points.
[tex]d=\sqrt{(7-(-5))^2 + (2-7)^2[/tex]
[tex]d=\sqrt{(12)^2 + (-5)^2[/tex]
[tex]d=\sqrt{144 + 25[/tex]
[tex]d=\sqrt{169[/tex]
d= 13
There are 16 mangoes in a basket.They are ONLY Julie and east indian.If you take out a Julie and replace it with an east indian ,there will be an equal number of Julie and east indian mangoes.If you take you three east indian mangoes and replace them with Julie,the number of Julie will be three fi me the number of east Indians? At present there are how many east indian and Julie mangoes in the basket?
Answer:
11 Julie's and 5 East Indians
Who walks at a faster rate: someone who walks 60 feet in 10 sec or someone who takes 5 sec to walk 25 feet?
Answer:
60 ft in 10 seconds.
Step-by-step explanation:
Theoretically, if the 5 second dude were to walk ten seconds, they'd only walk 50. (25 x 2 = 50, therefore 60 feet in 10 seconds is faster)
Answer:
I think it's the guy who walks 60 feet in 10 seconds
Step-by-step explanation:
Since the other guy walks 25 feet in 5 seconds, we can simply double the seconds to get 10 seconds and 50 feet.
So the first guy walks 60ft/sec and the second one walks 50 ft/sec
i may be wrong but this is my best explanation. I hope it hlps
Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+3
g(x) = 4x+4
Step-by-step explanation:
when you do an arithmetic operation to functions, you do it for the defining expressions.
so,
(f+g)(x) = (x + 3) + (4x + 4) = x + 3 + 4x + 4 = 5x + 7
(f*g)(x) = (x+3)*(4x+4) = 4x² + 12x + 4x + 12 = 4x² + 16x + 12
= 4(x² + 4x + 3)
(f-g)(4) = (4+3) - (4×4+4) = 7 - (16+4) = 7 - 20 = -13
3. A floor is 5 m long and 4 m wide. A square carpet of sides 3 m is laid on the floor. Find the area of the floor that is not carpeted.
Answer:
Length of floor = 5 m and breadth of floor = 4 m
Area of floor = length x breadth
= 5 m x 4 m = 20 m.sq
Now, Side of square carpet = 3 m
Area of square carpet = side x side = 3 x 3 = 9 m.sq
Area of floor that is not carpeted = 20 m – 9 m = 11 m.sq
Answer:
[tex]11 {m}^{2} [/tex]Step-by-step explanation:
First Condition:Given ,
Length of a floor = 5 m
Width of the floor = 4 m
Therefore,
Area of the floor
= l × b
= 5m × 4m
[tex] = 20 {m}^{2} [/tex]
Second Condition:Given,
Sides of a square carpet = 3 m
Therefore,
Area of the carpet
= s × s
= 3m × 3m
[tex] = {9m}^{2} [/tex]
At last:Now,
Area of the floor that is not carpeted is
= Area of the floor - Area of the carpet
[tex] = {20m}^{2} - {9m}^{2} [/tex]
[tex] = 11 {m}^{2} (ans)[/tex]
5-3x=Px+7
what value must P have for the equation to have no solutions?
Answer:
P = - 3
Step-by-step explanation:
For the equation to have no solutions the the coefficient of x on both sides must be the same.
5 - 3x = Px + 7 ← P = - 3 , then
5 - 3x = - 3x + 7 ( subtract 5 from both sides )
- 3x = - 3x + 2 ( add 3x to both sides )
0 = 2 ← not possible
Meaning the equation has no solutions
evaluate 10-(5-(4-(8-2))
=》The answer is 3.
Steps are in the attachment.
______
Hope it helps :)) ⚜
Answer:
The answer is 3
Step-by-step explanation:
By using PEMDAS, calculate the parenthesis first.
10-(5-(4-(8-2))
10-(5-(4-6)
10-(5-(-2)
10-7
= 3
This shake is made from five congruent triangles. Find the total area of the shape
Area of one triangle = [tex]A = \frac{a·b}{2} = \frac{6 \times 3}{2} = \frac{18}{2} = 9 {cm}^{2} \\ [/tex]
For 5 triangles = [tex]9 \times 5 = 45 {cm}^{2} [/tex]
- BRAINLIEST answerer
Can someone help me with this question it's my last question I will give you a brain list just help me I will really appreciate it thank you :)
Answer:
I have attached my answer below.
Step-by-step explanation:
Sorry, I was not able to do the last one as I don't know how to do it.
Hopefully this helps!!
1.If the triangle with vertices A(3,-9) B(-1, 7) C(5, 0) is reflected over the y-axis, what are the coordinates of
the new triangle A'B'C'?
Answer:
25 times 58
Step-by-step explanation:
guessed
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
can someone help me please.
Answer:
B, or second answer choice
Step-by-step explanation:
y - [tex]y_{1}[/tex] = m(x - [tex]x_{1}[/tex])
y - 1/3 = 3/4 (x - 4)
B