The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____

Answers

Answer 1

Answer:

a) σ  =  4933,64

b) CI 99%  = ( - 5746  ;  7194 )

c) No difference in brands

Step-by-step explanation:

Brand 1:

n₁   =  8

x₁   = 38222

s₁   = 4974

Brand 2:

n₂  = 8

x₂  = 37498

s₂  = 4893

As n₁  =  n₂  = 8       Small sample  we work with t -student table

degree of freedom      df  = n₁  +  n₂  - 2    df = 8 +8 -2  df = 14

CI = 99 %   CI  =  0,99

From  t-student table we find   t(c)  = 2,624

CI  =   (  x₁  -  x₂ ) ±  t(c) * √σ²/n₁   +  σ²/n₂

σ² = [( n₁  -  1 ) *s₁² +  ( n₂  -  1  ) * s₂² ] / n₁ +n₂ -2

σ² = 7* (4974)² + 7*( 4893)² / 14

σ² = 24340783       σ  =  4933,64

√ σ²/n₁  +  σ²/n₂     =  √ 24340783/8   +  24340783/8

√ σ²/n₁  +  σ²/n₂     =  2466

CI 99%  =  (  x₁  -  x₂ ) ± 2,624* 2466

CI 99%  =   724  ± 6470

CI 99%  = ( - 5746  ;  7194 )

As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups


Related Questions

Answer I need it please

Answers

Answer:

the answer is A

Step-by-step explanation:

Henry plans to buy Pepsee for people to drink at his birthday party. The grocery store has a sale
in which the first liter of Pepsee costs $3, and every liter that is bought after that costs $1.50.
Henry has $9 to spend.
What is the maximum number of liters Henry can buy? 4 liters
4.67 liters
5 liters
6 liters

Answers

Answer:4,67

Step-by-step explanation:

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan's father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?

A) 0.1135

B) 0.2450

C) 0.9423

D) 0.9932​

Answers

Nathan has a 25% chance of NOT being allergic to the drug. And then that 25% is 98% accurate so:

25% x 98%

0.25 x 0.95 (changed to decimals)

= B) 0.2450

Answer:

this is the answer!!

Step-by-step explanation:

What is the length of segment AB? PLEASE HELP!!!

Answers

Answer:

4

Step-by-step explanation:

we have hypotenuse and opposite so we can use sin

sin(45) =O/4√2

rearrange

sin(45)x4√2 =O

=4

Please answer if you are SURE.

Answers

2x -7 , x = 1 , 2+ 7 , 2x - 7 = 14

Multiply.


−3.9(−5.6)(3)

The product is

Answers

Answer:

65.52

Step-by-step explanation:

−3.9×−5.6×3

Multiply −3.9 and −5.6 to get 21.84.

21.84×3

Multiply 21.84 and 3 to get 65.52.

65.52

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Answers

Answer:

boom boom boom

Step-by-step explanation:

Answer:

ok?

Step-by-step explanation:

what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21​

Answers

Answer:

b

Step-by-step explanation:

Find the surface area of the prism.
2 in.
2 in.
6 in.

Answers

Answer:

56 m^2

Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3

Plzzzz help I give 100points

Answers

Answer:

The second 1: Beaver dams can make water safer and cleaner

Step-by-step explanation:

Since Beaver dams create wetland = new plants and animals to area = clean water, so  beaver dams = clean water.

Answer:

I WANT POINTS

Step-by-step explanation:

NOTHING TO SAY ABOUT I-Ready.

Martina and Cameron each want to run for president of their school's student body council . In order to do so, they must collect a certain number of signatures and get a nomination So far Martina has 10 signatures , and Cameron has 15. Martina is collecting signatures at an average rate of 2 per day, whereas Cameron is averaging 1 signature every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures . many signatures will they both have? Write a system of equationsgraph them, and type the solution

Answers

Answer:

20

Step-by-step explanation:

I hope the answer satisfies you and hope that you understand my handwriting as I have explained. Thanks for the problem, it also helps me.

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have

Answers

Answer:

34 the answer

Step-by-step explanation:

Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes. Which ratio of cups of sugar to cupcakes is equivalent to Mariana's recipe?

Answers

Answer:

2:12

Step-by-step explanation:

The ratio of cups of sugar to cupcakes is equivalent to 1:6.

Given that Mariana's recipe calls for 2 cups of sugar to make 12 cupcakes.

What is the ratio?

The ratio is the comparison of two quantities. It is generally represented by a fraction.

2 cups of sugar: 12 cupcakes = 2:12

2:12 = 2/12 =1/6 =1:6

So, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

Therefore, the ratio of cups of sugar to cupcakes is equivalent to 1:6.

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https://brainly.com/question/2328454

An example of a rectangular Prism can be: A globe or ball O Fish tank o Bowl Can​

Answers

Answer:

Fish Tank

Step-by-step explanation:

This of a rectangular prism as a cardboard box. It has rectangles on the top and the bottom. The fish tank is somewhat similar to this so it will be a rectangular prism.

Find the 52nd term of the arithmetic sequence 5, 9, 13, ...

Answers

The answer should be 213

How many distinguishable permutations are there for the word SCIENCE?

Answers

Answer:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Step-by-step explanation:

Step-by-step explanation:

= 7*6*5*4*3*2*1 = 5040.

Please help I’ll mark you as brainliest if correct!

Answers

Answer: 34.52 Is the correct answer.

If a = 2 and b= -3, find the value of 2ab + 3b

Answers

Answer:

-21

Step-by-step explanation:

-12+(-9)= -21

Answer:

-21 is the answer to this question

Which fraction is the product of 5/4 x 6?

Answers

Answer:

15 x /2

Step-by-step explanation:

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.4 min.

P(50.4 < X < 51.4) =

Answers

Answer:

=0.70

Step-by-step explanation:

p(x < 51.4) = (51.4-50.0)/(52.0-50.0)

p(x < 51.4) =1.4/2

=0.70

Given N , what is mABC

Answers

A is 222 answer c because answer c is correct because why is answer c 222 is best choice

Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when 3 dice are rolled? Discuss your solution by explaining it.

Answers

Answer:

Rolling a sum of 8 from two dice is more likely

Step-by-step explanation:

To obtain which is more likely, we could obtain the individual probabilities of both events.

TWO DICE :

Sample space for 2 die rolls = total possible outcomes = 6² = 36

Number of favorable outcomes = sum of 8 from 2 rolls = 5

Probability = number of favorable outcomes / total possible outcomes

P(sum of 8) = 5 / 36 = 0.1388

THREE DICE :

Total possible outcomes = 6³ = 216

Number of favorable outcomes = 21

P(sum of 8) = 21 / 216 = 0.097222

0.1388 > 0.097222

Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?

options:

-17
-10
-4
-3

Answers

Answer:

Dang someone come help him

Step-by-step explanation:

What is the average rate of change from x = −4 to x = 1?

Answers

Answer:

What is the average rate of change from x = −4 to x = 1? x= -4 x + 5

Mr. Dash recorded the odometer
readings in his car for a business trip.
Before the trip, the odometer read
23,125.6. At the end of the trip it read
23,219.1. If Mr. Dash is reimbursed
$0.51 for every mile, then about how
much will he be reimbursed?

Answers

Mr. Dash is reimbursed $47.69.

The circle graph shows how Tremaine divided his time on the computer last week. Tremaine used the computer a total of 30 hours last week. How many more hours did Tremaine use the computer to play games than to do research?

A) 20 hours
B) 6 hours
C) 1.5 hours
D) 7.5 hours

Answers

Answer:

A) 20 hours

Step-by-step explanation:

:>>>

25-5=20

25-5=20 so the answer is A) 20 hours

A composite figure is shown. What is the volume of the composite figure? 4 cm 6 cm 4 cm 9 cm 5 cm​

Answers

Answer:

No figure shown.

Step-by-step explanation:

Answanswer:

the answer is 4,320.

Step by-step explanation:

The reason the volume is this is becuase you first need to know the volume.

V= L x W x H. (Length and width are also called base.)

Now what you do is just multiply 4*6= 24*4= 96*9= 944*5= 3,420

7 x n = 42 + 7 what does n represent

Answers

Answer:

n=7

Step-by-step explanation:

n=7

In the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have an expression:

[tex]\rm 7 x n = 42 + 7[/tex]

Solving for the term n

[tex]\rm 7xn = 49\\\\\rm xn = 7[/tex]  (divide by 7 on both sides)

[tex]\rm n = \frac{7}{x}[/tex]  or

[tex]\rm n = 7x^{-1}[/tex]

If x = 1, then value of n

n = 7

Thus, in the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.

Learn more about the function here:

brainly.com/question/5245372

The vertices of a quadrilateral are M(-1,1), N(1,-2),O(5,0), and P(3,3).
Which statement describes quadrilateral MNOP?
Quadrilateral MNOP is a rhombus, but not a square.
Quadrilateral MNOP is a rectangle.
Quadrilateral MNOP is a trapezoid.
Quadrilateral MNOP is a parallelogram, but not a rectangle

Answers

Answer:

Quadrilateral MNOP is a rectangle.

Step-by-step explanation:

Quadrilateral MNOP is a parallelogram, but not a rectangle.

What is a rhombus?

A rhombus is a quadrilateral with all equal sides but angles not right angles. Diagonals of a rhombus intersect at 90°.

M(-1,1), N(1,-2),O(5,0), and P(3,3)

MN=√13

NO=√20

OP=√13

PM=√20

This means opposite sides are equal.

Slope of MN = -2/3

Slope of NO=2

The Slope of MN * The Slope of NO =-4/3 ≠ -1

This means the angle between adjacent sides is not equal to 90°

This means MNOP is not a rectangle

The Slope of MO = -6

The Slope of NP = 2/5

The Slope of MO * The Slope of NP =-12/5 ≠ -1

This means diagonals do not intersect at right angles.

This means MNOP is not a rhombus.

Slope of MN = -2/3

Slope of OP = -2/3

Slope of MN =Slope of OP

Similarly, Slope of MP =Slope of NO

So, quadrilateral MNOP is a parallelogram, but not a rectangle.

Thus, quadrilateral MNOP is a parallelogram, but not a rectangle.

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Write an equation, and solve. Round your answer to the nearest cent.
If 3 oz of granola costs $3.03, find the cost of 16 oz of granola.
The cost of 16 oz of granola should be $

Answers

Answer:

The cost of 16 oz of granola should be $16.16

Step-by-step explanation:

Given that,

The cost of 3 oz of granola is $3.03

We need to find the cost of 16 oz of granola..

As 3 oz = $3.03

1 oz = (3.03/3) = $1.01

The cost of 16 oz will be :

16 oz = 16×1.01

= $16.16

Hence, the cost of 16 oz of granola should be $16.16.

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