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**Please solve this question
with very step and explanation.**

Q) The manager of a car rental firm claims that the average kilometers traveled per day by each of its cars rented in Ankara differs from 70km. To justify this claim they collected a random sample of 25 cars. The sample yields an average of 85.5kms per day and the population standard deviation is known as 19.3kms per day. It is assumed that the kilometers traveled is normally distributed. Take the significance level as 0.05.

a)State the null and alternative hypotheses.

b) Calculate the test statistic.

c) Determine the critical value(s).

d) Make a decision as “Reject H0” or “Do not reject H0”. Explain your decision.

e) (*20* pts) Interpret your result.

Answer #1

5. A consumer watchdog group tests the
gas mileage for a specific model of car using a (random) sample of
14 cars.
This sample
has a mean gas mileage of 27.6 mpg and a standard deviation of 3.2
mpg.
(a) Find a 99% confidence interval for
the mean gas mileage of all cars of this
model.
[8 pts]
(b) Complete each step below to
perform a (traditional) hypothesis test to test the claim
in bold made by...

The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced.
The ages of the cars at the time of replacement were (in
months): 23 42 49 48 53 46 30 51 42 52
Use the sample data to calculate the mean age of a car when the
fuel...

The manufacturer of a sports car claims that the fuel injection
system lasts 48 months before it needs to be replaced. A consumer
group tests this claim by surveying a random sample of 10 owners
who had the fuel injection system replaced. The ages of the cars at
the time of replacement were (in months):
23 46 41 48 53 46 30 51 42 52
(i) Use your calculator to calculate the mean age of a car when
the fuel...

The gas mileage for a particular type of car is known to have a
standard deviation σ = 1 mile. For a fixed speed (65 miles/hour)
sixteen cars were tested and found to get an average of 24.3 miles
per gallon. What is the z-test statistic for the null hypothesis
H0: μ = 25 miles per gallon?
a.
-.7 b.
-1.4
c.
-2.8 d. 1.4
If the z-test statistic for H0: μ = 10 yields a
p-value of .03. Should...

PLEASE ANSWER ALL question
Suppose you are the manager of Speedy Oil Change which claims
that it will change the oil in customers’ cars in less than 30
minutes on average. Further suppose that several complaints have
been filed from customers stating that their oil change took longer
than 30 minutes. Upper-level management at Speedy Oil Change
headquarters has requested that you investigate the complaints. To
begin your investigation, you randomly audit 36 oil changes
performed by Speedy Oil Change...

Please read the article and answear about
questions.
Determining the Value of the Business
After you have completed a thorough and exacting investigation,
you need to analyze all the infor- mation you have gathered. This
is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

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