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
JulsSmile [24]
3 years ago
14

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past

studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. Of the 31 tires surveyed, the mean lifespan was 46,800 miles with a standard deviation of 9,800 miles. Using alpha Do the data support the claim at the 5% level?
Mathematics
1 answer:
Minchanka [31]3 years ago
4 0
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

You might be interested in
How do you make a equation with 2/3 X3
Marrrta [24]
Do you mean (2/3) times 3X or is x a multiplication symbol
8 0
3 years ago
The answer I neeed it now
slava [35]
Anser is B). Subtract smallest number
5 0
3 years ago
prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Vlad1618 [11]

Answer:

it’s 3 x 2x 5 = 30

Then use that product and times it by 10. ( 10 x 30 )

Ans = 300 cubic centimeters

Step-by-step explanation:

3 x 5 x 2 = 30


30 x 10 = 300

Ans = 300 cubic centimeters

4 0
2 years ago
Why is 1/3 bigger than 4/5
UkoKoshka [18]
1/3 is in fact NOT larger than 4/5. 4/5 is larger than 1/3.
4 0
3 years ago
Read 2 more answers
Thissss isssss the rest
lisabon 2012 [21]

Answer:

In a triangle, sides opposite of congruent angles are congruent.

5 0
3 years ago
Other questions:
  • Compliment Questions
    12·1 answer
  • A roller coaster has 4 cars, each with
    6·1 answer
  • This is the question: -10.7 + (- 3.5 )
    14·2 answers
  • Andrea has four times the number of marbles that Jennifer has. If x equals the number of marbles that Jennifer has, which expres
    14·1 answer
  • The speed of light in vacuum is 2.998x10^8 m/s. What is the speed in km/hr and mi/min?
    7·2 answers
  • Please help, I am so confused
    12·1 answer
  • What is 6^2/3 in radical form
    8·2 answers
  • A pet shop sells goldfish for $ 9 per dozen. How much would 6 goldfish cost? How many goldfish could you buy with $50?
    6·1 answer
  • Solve it : x² *dy/dx = -2y
    5·1 answer
  • If a person walks 1/3 a mile in each 1/2 hour, how far does he walk in 1 hour.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!