1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
diamong [38]
2 years ago
14

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)_____
Mathematics
1 answer:
Feliz [49]2 years ago
3 0

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

You might be interested in
Evaluate |6| - |-6|.<br><br> A. -36<br> B. 0<br> C. 6<br> D. 12
siniylev [52]

Answer: Answer is 12.

Step-by-step explanation:

6 - (-6)

6 + 6= 12

Keep, change, change.

Keep 6

Subtraction sign to addition.

Negative 6 becomes positive.

5 0
3 years ago
How do you get the number 43 with the numbers 2,3,6,8 with using all numbers and only using them once.
iren [92.7K]

Answer:

Multiply 8x6 and subtract 2 and 3

Step-by-step explanation:

8x6=48

48-3=45

45-2=43

8 0
3 years ago
What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
38=x+10+9-3<br>I don't get this question​
Lilit [14]

Answer:

so is that all it says, if its not thats not a question because its already answered

Step-by-step explanation:

4 0
3 years ago
Solve this equation x-3=4
MAXImum [283]

Answer:

x-3= 4

x= 4+3

Answer: x= 7

5 0
3 years ago
Read 2 more answers
Other questions:
  • HELP! BRAINLIEST ANSWER OFFERD.
    14·1 answer
  • What is 3186 divided by 62
    10·2 answers
  • The dot plot represents the amount of rain recorded by rain gauges in different locations around a city
    12·2 answers
  • ​Together, teammates Pedro and Ricky got 26762676 base hits last season. Pedro had 280280 more hits than Ricky. How many hits di
    6·1 answer
  • The electronic sign that showed the speed of motorists was installed on a road.the line plots below show the speeds of some moto
    9·1 answer
  • What is another expression for 52+24?
    15·2 answers
  • Helpp the topic is about limits
    11·1 answer
  • During one week, Rosa spends 21 7/12 hours reading or playing basketball. She reads 134 hours each day. How long does she play b
    5·1 answer
  • Can someone help me with these math problems​
    8·1 answer
  • I need help but I need the correct answer everyone is giving me the wrong answer !!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!