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
Arte-miy333 [17]
3 years ago
8

A tire company advertises that its tires will last, on average, 60,000 miles. You are interested in determining if the average l

ife of the company's tires is less than what was advertised. One hundred of the company's tires were randomly selected, and the average life of those tires was 58,500 miles with a standard deviation of 10,000 miles. (alpha=0.05) The parameter represents the population mean life of all the company's tires.
a) State the null and alternative hypotheses.

b) What is the sample?

c) Calculate the standard score.

d) What type of test was performed?

e) The p-value is...

f) What is the decision?

g) What is the conclusion?
Mathematics
1 answer:
Virty [35]3 years ago
6 0

Answer:

We conclude that the average life of the company's tires is more than or equal to what was advertised.

Step-by-step explanation:

We are given that a tire company advertises that its tires will last, on average, 60,000 miles.

One hundred of the company's tires were randomly selected, and the average life of those tires was 58,500 miles with a standard deviation of 10,000 miles.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average life of the company's tires.</em></u>

(a) Null Hypothesis, H_0 : \mu \geq 60,000 miles   {means that the average life of the company's tires is more than or equal to what was advertised}

Alternate Hypothesis, H_A : \mu < 60,000 miles   {means that the average life of the company's tires is less than what was advertised}

The test statistics that will be used here is <u>One-sample t test statistics</u> as we don't know about the population standard deviation;

                       T.S.  = \frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }  ~ t_n_-_1

where, \bar X = sample average life of tires = 58,500 miles

             s = sample standard deviation = 10,000 miles

             n = sample of company's tires = 100

So, <u><em>test statistics</em></u>  =  \frac{58,500-60,000}{\frac{10,000}{\sqrt{100} } }   ~ t_9_9

                               =  -1.50

<u><em>Hence, the value of test statistics is -1.50.</em></u>

<em>Also, P-value is given by the following formula;</em>

         P-value = P( t_9_9 < -1.50) = <u>0.072 or 7.2%</u>

<em />

<em>Now at 5% significance level, the t table gives critical value of -1.98 at 99 degree of freedom for left-tailed test. Since our test statistics is more than the critical value of t as -1.50 > -1.98, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region and due to this we fail to reject the null hypothesis.</em>

Therefore, we conclude that the average life of the company's tires is more than or equal to what was advertised.

You might be interested in
The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
lorasvet [3.4K]

The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

5 0
3 years ago
Read 2 more answers
The amount of blood in a person's body varies directly with body weight. A person who weighs 160 lb has about 4.6 qt of blood. A
Masteriza [31]
Hey! The answer is 5.03 qt of blood.
7 0
3 years ago
Find the area of the circle. Round your answer to the nearest hundredth.
Free_Kalibri [48]

Answer:

If pi is used as pi 113.1

or

If 3.14 is used as pi 113.04

Step-by-step explanation:

A = pi(r)²

8 0
2 years ago
What is the density of water? Remember for water 1g=1ml=1cm^3
NeTakaya

Answer:

1 g/cm^3 or 1 g/ml

Step-by-step explanation:


5 0
2 years ago
Multiply row 2 by the reciprocal of −40:
olga_2 [115]

Answer:

answers down below :p

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Other questions:
  • A _________________is a numerical value that describes a population.
    10·2 answers
  • I need help now Please!!!!<br><br> Solve For X
    12·1 answer
  • Solve this equation: -9 -6 12h 40=22
    6·2 answers
  • WILL GIVE BRAINLIST ive seen this problem so many times and I've tried my best to solve it but I really need some help here
    8·2 answers
  • Suppose lines a and b shown above are rotated in some way. Choose all the statements that WOULD result from line a and b being r
    10·1 answer
  • Please help asap ty alot mann
    14·2 answers
  • Which graph represents-x+8y&gt;-24
    14·1 answer
  • A math professor is wondering if students today are better or worse than in the past. He has given the same final to this year's
    12·1 answer
  • What is the y-intercept of the line?<br> 110<br> A<br> 2<br> B<br> 3<br> 000<br> -7<br> -6<br> D
    11·1 answer
  • If there is 5280 feet in 1 mile, how may feet are in 2 miles?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!