Step 1 – State Hypothesis in context of the problem.
Step 2 – Gather data, check assumptions, and find rejection region using α.
Step 3 – Calculate the appropriate test statistic and p-value.
Step 4 – State conclusion in context of the problem.
Step 1
Step 2
Step 3
Step 4
An oil additive for automobiles claims that it increases fuel mileage by at least a mean...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.1 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.01 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive)d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the...
The table shows the gas mileage (in miles per gallon) of eight cars with and without using a fuel additive. Your friend claims that the fuel additive improved gas mileage.Car 1 2 3 4 5 6 7 8Gas mileage without additive 35.8 37.7 39.4 36.8 36.6 33.7 38.4 37.3Gas mileage with additive 36.2 39.8 40.1 39.3 36.9 34.5 38.8 39.1a. State the null and the alternative hypotheses.b. At a=0.01, test your friend’s claim.
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d=(gas mileage with additive)−(gas mileage without additive). Use a significance level of α=0.05 for the test. Assume that the gas mileages...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d = (gas mileage with additive)–(gas mileage without additive). Use a significance level of a = 0.01 for the test. Assume...
A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (miles per gallon, MPG). To gather information, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and when gasoline without Additive X is used. The order of the two treatments (with Additive X versus without Additive X) was randomized and care was taken so that there was no...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d = (gas mileage with additive)-(gas mileage without additive). Use a significance level of a = 0.01 for the test. Assume...
A major oil company has developed a new gasoline additive that is supposed to increase mileage. To test this hypothesis, ten cars are randomly selected. The cars are driven both with and without the additive. The results are displayed in the following table. Can it be concluded, from the data, that the gasoline additive does significantly increase mileage? Let d = (gas mileage with additive)-(gas mileage without additive). Use a significance level of a = 0.1 for the test. Assume...
Test the claim about the mean of the differences for a population of dependent (paired) data at the level of significance α. Please remember to include all 5 parts of a hypothesis test mentioned in the module summary. Assume the samples are random and dependent, and the populations are normally distributed. Exercise 9. Fuel efficiency. A researcher claims that the fuel efficiency of automobiles can be improved by using a fuel additive. A random sample of ten automobiles was selected....