# MTH233/statistics UOP

posted by sue

A car company says that the mean gas mileage for its luxury sedan is at least 21 miles per gallon. You believe the claim is incorrect and find that a random sample of five cars has a mean gas mileage of 19 miles per gallon and a standard deviation of 4 miles per gallon. Assume the gas mileage of all of the company’s luxury sedans is normally distributed. At á = 0.05, test the company’s claim.
• What is the difference between a critical value and a test statistic?
• Decide whether you should use a normal sampling distribution or a t-sampling distribution to perform the hypothesis test.
• Why would you use a z-test rather than a t-test?
• Which do you think you will use more often? Justify your decisions.
• Then use the distribution to test the claim.
• Write a short paragraph about the results of the test and what you can conclude about the claim.

1. Anonymous

Ho: Mean >= 21 (claim)
Ha: mean < 21
t = 1.118
P-value = 0.163
Fail to reject Ho

## Similar Questions

1. ### statistics

An auto maker estimates that the mean gas mileage of its sport utility vehicle is 20 miles per gallon. A random sample of 8 such vehicles had a mean of 18 per gallon and a standard deviation of 5 miles per gallon. At á=0.05, can you …
2. ### math

Manuel wants to calculate how many miles his farthers car travels on one gallon of gas. He knows that on a fu 15- gallon tank of gas, the car can travel 225 miles. Write an proportion that he could use to calculate the cars mileage …
3. ### Business Statistics 2

A consumer research group is interested in testing an automobile manufacturer’s claim that a new economy model will travel at least 25 miles per gallon of gasoline (H0: μ  25). a. With a .02 level of significance and a sample …
4. ### Statistics

A survey was conducted to determine if there is a difference in gasoline mileage for two types of trucks, truck A and truck B. A random sample was taken for each model of truck, and the mean gasoline mileage, in miles per gallon, was …
5. ### Precalculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage …
6. ### Precalculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage …
7. ### precaculus

1. Gas Mileage Problem The EPA efficiency rating Ina particular model of new car says that the car is expected to get 22.7 miles per gallon (mpg) of gasoline. Assume that the standard deviation is 1.4 mpg and that the actual mileage …
8. ### stats

A random sample of mid-sized cars tested for fuel consumption gave a mean of miles per gallon with a standard deviation of miles per gallon. Assuming that the miles per gallon given by all mid-sized cars have a normal distribution, …
9. ### statistics

the mean gas mileage for a hybrid car is 56 miles per gallon suppose that the gasoline mileage is approximately normally distributed of 3.2 miles per gallon what is the probability that a randomly selected hybrid gets more than 62 …
10. ### maths, statistics

The yearly mileage accumulated by an automobile in a large car rental company’s ﬂeet is normal with mean 18000 kilometres and standard deviation 1700 miles. At the end of the year the company sells 80% of its cars, keeping the …

More Similar Questions