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
DedPeter [7]
3 years ago
13

An automobile manufacturer claims that its jeep has a 36.1 miles/gallon (MPG) rating. An independent testing firm has been contr

acted to test the MPG for this jeep since it is believed that the jeep has an incorrect manufacturer's MPG rating. After testing 150 jeeps, they found a mean MPG of 35.8. Assume the standard deviation is known to be 2.4. A level of significance of 0.02 will be used. Make a decision to reject or fail to reject the null hypothesis. Make a decision.
Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:

z=\frac{35.8-36.1}{\frac{2.4}{\sqrt{150}}}=-1.531    

p_v =2*P(z  

Since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is different from 36.1 MPG (the claim by the manufacturer)

Step-by-step explanation:

Information given  

\bar X=35.8 represent the sample mean for the MPG

\sigma=2.4 represent the population deviation

n=150 sample size  

\mu_o =36.1 represent the value to check

\alpha=0.02 represent the significance level for the hypothesis test.  

t would represent the statistic

p_v represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if manufacturer is incorrect, the null and alternative hypothesis are:  

Null hypothesis:\mu = 36.1  

Alternative hypothesis:\mu \neq 36.1  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{35.8-36.1}{\frac{2.4}{\sqrt{150}}}=-1.531    

P value

Since we are conducting a bilateral test we can find the p value like this:

p_v =2*P(z  

Conclusion

Since the p value is higher than the significance level we don't have enough evidence to conclude that the true mean is different from 36.1 MPG (the claim by the manufacturer)

You might be interested in
write a real-word problem that can be represented by the equation 224=3.5r. Then solve the problem and explain the solution.
andrew-mc [135]
This is your answer One pound of meat costs 3.50$. If the total is 244$, how many pounds of meat have you bought?
8 0
3 years ago
Find the map ratio if 10 cm on the map is represented by 10 km
olga nikolaevna [1]
I think this is the answer :)

4 0
2 years ago
Read 2 more answers
Four students each contribute $12 to buy a pizza, salad, and large soda. How much would each student pay if two more students al
geniusboy [140]

Answer:

8$

Step-by-step explanation:

4 students contribute 12$ Each.

So, total amount becomes 12 x 4 = 48$

If two more students contribute it makes a total of 6 students.
so we now divide the 48$ by 6
48/6=8$

8 0
2 years ago
Pls help, with explanation if possible
kirza4 [7]

king jon un

Step-by-step explanation:

3 0
2 years ago
Compare \sqrt(2) and \sqrt(3)
arsen [322]
The first thing you hi ‍♂️ and the girls is the one who wants with wow wayward in Wyoming the way the house to
6 0
3 years ago
Other questions:
  • What is the width of a rectangular figure that has a 3 centimeter length less then twice the width and the perimeter is 24 centi
    8·2 answers
  • One number is 6 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 820?,
    10·1 answer
  • How long is the arc formed by a 300 degree central angle in a circle with a radius of 7 cm.?
    12·1 answer
  • Maria had 20 dollar gift card to an online music store. She spent the entire amount on songs which cost 1 dollar each and the mu
    5·1 answer
  • I WILL GIVE BRAINLIEST IF YOU EXPLAIN YOUR ANSWER!!
    7·2 answers
  • How many quarters are thee in 4 1/2​
    6·1 answer
  • A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost C can be repres
    7·2 answers
  • Find the height of the building shown.
    12·1 answer
  • You can buy laundry product in a 28-ounce bottle for $6.44 or in a 24-ounce bottle for $4.80.
    15·1 answer
  • Please help with the problems
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!