Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are x = 20 milligrams / 1000cyclesss1= 2 milligrams/1000cycles and for company 2, you obtainx 2 = 15 milligrams /1000cyclesands2= 8 milligrams / 1000cyclesRequired:a. Do the data support the claim that the two companies produce material with different mean wear? Use = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test? b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a). c. Construct confidence intervals that will address the questions in parts (a) and (b) above.

Mathematics College

Two companies manufacture a rubber material intended for use in an automotive application. The part will be subjected to abrasive wear in the field application, so we decide to compare the material produced by each company in a test. Twenty-five samples of material from each company are tested in an abrasion test, and the amount of wear after 1000 cycles is observed. For company 1, the sample mean and standard deviation of wear are

xÌ… = 20 milligrams / 1000cycless
s1= 2 milligrams/1000cycles and for company 2, you obtain

xÌ… 2 = 15 milligrams /1000cycles

and
s2= 8 milligrams / 1000cycles

Required:
a. Do the data support the claim that the two companies produce material with different mean wear? Use Î± = 0.05, and assume that each population is normally distributed but that their variances are not equal. What is the P-value for this test?
b. Do the data support a claim that the material from company 1 has higher mean wear than the material from company 2? Use the same assumptions as in part (a).
c. Construct confidence intervals that will address the questions in parts (a) and (b) above.

Answers

Answer 1

Step-by-step explanation:

Due to the time it took to solve this question, I had little time to type the answers fully

The answers are contained fully in the attachment I have uploaded.

A. H0: u1 = u2

H1: u1 not equal to u2

The t statistics was solved to be 3.03

The degree of freedom was solved to be 26

Given this information, this is a 3 tailed test, critical value at 5% = +-2.056

T stat > critical value

We therefore reject the null hypothesis at 5% and conclude they have different mean wear

The p value is calculated using excel and the result is 0.00544

We reject null at 5% since p value is less than 0.05

B. H0: u1 = u2

H1: u1>u2

Alpha = 0.05

Following a,

Test stat = 3.03

Df = 26

Critical value for 1 tailed test = 1.706

Test stat > 1.706

We reject H0 and conclude company 1 has higher mean wear.

We find p value for a right tailed distribution using excel

Tdist(3.03,26,1)

= 0.002722

We reject h0

C. Confidence interval

1.610 < u < 8.390

Two Companies Manufacture A Rubber Material Intended For Use In An Automotive Application. The Part Will

Related Questions

Katie wants to collect over 100 seashells. She already has 34 seashells in her collection. Each day, she finds
12 more seashells on the beach, Katie can use fractions of days to find seashells.
Write an inequality to determine the number of days, d, it will take Katie to collect over 100 seashells,
Graph the solution set to this inequality.
1
0 1 2
3
4
5
6
7
8
9
10
He

Answers

Answer:

your answer will be [tex]d\geq 5.5[/tex]

Step-by-step explanation:

hope it helps

solve for x
please help

Answers

Answer:

your answer will be X=11.1

hope it helps you ...

Help plz:)))I’ll mark u Brainliest !!!!

Answers

Answer: x=11

Step-by-step explanation: plz mark me brainliest

Answer:

I believe its x = 11 hope for le its right

PLS HELP 2772288282 PlsPLA PLASS

Answers

Step-by-step explanation:

I think it'S right......

Chris and Pat worked the same number of days and earned equal amounts of money, Chris earned a rate of $75 per day. Pat earned a rate of $50 per day and
received a honus of $125 How many days did each of them work

Answers

Answer:

A, 5 days

Step-by-step explanation:

Let's set the number of days as x. Then, the amount of money each person earned is:

Chris: 75 * x

Pat: 50 * x + 125

Then, because these are equal amounts,

75x = 50x + 125

Subtract 50x from both sides.

25x = 125

Divide both sides by 25.

x = 5

So, they worked for 5 days, or option A.

What is the measure of z?

Answers

Answer:

Please edit the question I can't see it completely

What is the area of the triangle in the diagram?

Answers

theres no diagram given

someone please find the area of this figure.

Answers

Answer:

to answer this question you have to first split up the diagrams,I'm to lazy to do that but I'll try

area of rectangle- 2mm×4mm=8mm²

area of rectangle 2-6mm×3mm=18mm²

area of rectangle 3- 4mm×2mm=8mm²

area of triangle =1/2 b×h

=1/2×6×18

=54mm²

total area = 8mm²+18mm²+8mm²+54mm²

=88mm²

CAN YOU PLEASE HELP IM BAD AT MATH LOL

Answers

Answer:

1090 in²

Step-by-step explanation:

The surface area of the two cube = 7x7x6 + 13x13x6 = 1308 in²

But noted that there are overlapping of the two cubes, thus we need to minus 7x7 in² from the answer. Also, we need to minus 13x13 from the answer as the bottom face of the larger prism do not require staining.

∴The required surface area is 1090 in²

The volume of the small cube and large cube will be 2540 in³.

What is a volume of a cube?

Suppose that: The side length of the considered cube is L units. Then, we get:

Volume of that cube = L³ cubic units.

The edge length of the small cube is 7 in.

The edge length of the large cube is 13 in.

Then the volume of the small cube will be

Volume = 7³

Volume = 343 in.³

Then the volume of the large cube will be

Volume = 13³

Volume = 2197 in.³

Then the volume of the small cube and large cube will be

Volume = 2197 + 343

Volume = 2540 in.³

More about the volume of the cube link is given below.

https://brainly.com/question/26136041

#SPJ2

Branliest to correct answer please explain how you solved it

Answers

Answer: it is a.

Step-by-step explanation: because I'm smart.

Answer: 2% or 3%

Most likely 2%.

Step-by-step explanation:

There’s a 20 sided dice and 100÷20=5

but you have to think of it as 26

2% x 26= 0.52 make 0.52 a 52 and take off the 2 from 52 and make it your answer, 2%

thats what I came up with and gathered after some tests on a normal online calculator that doesn‘t do remainders.

HELPPPPPPPPPPP!! SMART People?

Answers

its $1.07 my bad XD :P

Step-by-step explanation:

Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem:

Maximize contribution = 5X1 + 4X2 + 3X3
Subject to: 1X1 + 7X2 + 4X3 <= 90 (hours on machine 1)

2X1 + 1X2 + 7X3 <= 96 (hours on machine 2)
8X1 + 4X2 + 1X3 <= 90 (hours on machine 3)
X1, X2, X3 >=0

Determine the optimal solution using LP software. the optimal achieved is

X1=
X2=
X3=

Answers

Answer:

Step-by-step explanation:

[tex]\text{Maximize p = 5X1 + 4X2 + 3X3 subject to;} \\ \\ 1X1 + 7X2 + 4X3 <= 90[/tex]

[tex]2X1 + 1X2 + 7X3 <= 96[/tex]

[tex]8X1 + 4X2 + 1X3 <= 90[/tex]

[tex]X1 > = 0[/tex]

[tex]X2 >= 0[/tex]

[tex]X3 >=0[/tex]

[tex]\text{USing LP software, The Optimal Solution: Maximum Contribution} = 90.547;}\\ \\ x1 = 7.07692, \\ \\ x2 = 5.62393, \\ \\ x3 = 10.8889[/tex]

Anyone can help with this

Answers

Answer:

Step-by-step explanation:

Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.

Answer:

Step-by-step explanation:

i used photomath and C was not the linear one!

What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)

Answers

Answer:

Step-by-step explanation:

I hope this helps a bit.

The number of calories in fruit smoothies varies from brand to brand. The population distribution of calories is strongly skewed to the right. The central limit theorem says that:___________
a. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is exactly Normal.
b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.
c. as the number of brands of fruit smoothies increases, their average calorie count gets ever closer to the mean μ for all fruit smoothies of this type.
d. the average amount of calories of a large number of fruit smoothie brands has a sampling distribution with the same shape (strongly skewed) as the population distribution.
e. the average calorie count of a large number of fruit smoothie brands has a sampling distribution with a similar shape but not as extreme (skewed, but not as strongly) as the population distribution.

Answers

Answer:

b. the average calorie count of a large number of fruit smoothie brands has a sampling distribution that is close to Normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Applying to this question:

The distribution of the number of calories in fruit smoothies is strongly skewed to the right. However, in a sample with a large number of fruit smoothies, the sampling distribution will be approximately normal, so the correct answer is given by option B.

Answer:

Step-by-step explanation:

A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?

Answers

Answer:

240$$

Step-by-step explanation:

find the area

A=LW

A=8x10

A=80

80x3=240

Which point is a solution to the system of inequalities below?
x+2y<1
x-4y>7

A (-4,-1)
B (2,-3)
C (3,-1)
D (4,-1)

Answers

Answer:

Hello I'm not to sure but I think A and B but I'm not sure

Step-by-step explanation:

PLEASE HELP ASAP!!!!

Answers

I don't know the answer but someone who does will tell you.

Questions in the attachments

Thank you to whoever answers :)

Answers

Answer:

That should be the answer.

Hopefuly that helped.

please help me!!!!!!!!!!!!

Answers

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Can someone help me please

Answers

v+4/5 = 3 1/3
Exact form = 38/15
Decimal form= 2.53...
Mixed number form= 2 8/15
(I hope this helped)

If f(x)=3x-1 and g(x)=x2+2 what is f[g(x)]

Answers

Answer:

Value of f[g(x)] = 3x² + 5

Step-by-step explanation:

Given:

f(x) = 3x - 1

g(x) = x² + 2

Find:

Value of f[g(x)]

Computation:

f(x) = 3x - 1

g(x) = x² + 2

So,

f[g(x)] = 3(x² + 2) - 1

f[g(x)] = 3x² + 6 - 1

Value of f[g(x)] = 3x² + 5

66 + 2bc – 46; b= 10, c=5

Answers

Answer:

120

Step-by-step explanation:

66 + (2* 10*5)- 46

66+20×5−46

66+100−46

166−46

= 120

Brainlist Pls!

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

66 + 2bc - 46

= 66 + (2 × 10 × 5) - 46

= 66 + 100 - 46

= 166 - 46

= 120

Hope it helps you,

Mark me brainliest plz....

Follow me! :)

Help please!!!!!! I don't have a lot of time

Answers

Answer:

Its 5,...................

Answer:

Step-by-step explanation:

simplify the exponent

35/8-1

simplify

35/7

simplify

I am very confused on this problem pls help

Answers

Answer:

Step-by-step explanation:

let X be free stickers

let y be number of T-shirts bought

TABLE

X Y (PUT THIS IN THE BLUE PLACE)

2 1

4 2

6 3

8 4

10 5 (don't have to put this in)

the table :

x y
———
1 2
2 4
3 6
4 8
5 10

Equation: y=2x

explanation the graph goes up by 2 each time meaning the slope is 2

I need these three, I’ll give brainliest

Answers

A. E+17-1=2x. b. R0 + x=12 C. 13= x-1+15+10-1 divided by 10=24

hope this helps!!

and I hope you understand it lol!

Vertical angles are equal in measure.
always
sometimes
O never

Answers

Answer:

Always

Step-by-step explanation:

Thank you have a great day

This is Adele’s solution for the equation.
x² - 8x – 33 = 0
Step 1: x² - 8x = 33
Step 2: x² - 8x + 16 = 33 + 16
Step 3: (x – 4)² = 49
Step 4: x – 4 = 49 OR x – 4 = - 49
Step 5: x = 53 OR x = - 45
Where did Adele make her mistake? What are the solutions to this equation? Show all of your work.

Answers

Answer:

Step-by-step explanation:

I'm pretty sure

The mistake was in step 1. Here is how to correctly solve the equation: x² - 8x – 33 = 0 (x - 11) (x + 3) = 0 x – 11 = 0 x +3 = 0 x = 11 and x = -3

Is KLMN below a rectangle?

Answers

B is the answer.....

In ΔDEF, the measure of ∠F=90°, the measure of ∠D=73°, and FD = 27 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer:

88.3

Step-by-step explanation:

The answer is 88.3.

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