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 test. Assume that the gas mileages are normally distributed for the population of all cars both with and without the additive.
Car |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Without additive |
24.7 |
27.7 | 26.5 | 22.3 | 29.2 |
16.4 |
16.9 | 19.3 | 11.4 | 25.7 |
With additive |
25.2 |
30.4 | 28.8 | 23.9 | 29.8 | 17.8 | 18.8 | 21.4 | 13.4 | 28.8 |
Step 1 of 5: State the null and alternative hypotheses for the test.
Ho: μd (=,≠,<,>,≤,≥) 0
Ha: μd (=,≠,<,>,≤,≥) 0
Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places.
Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places.
Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of your answer to three decimal places.
Reject Ho if (t, I t I) (<,>) _____
Step 5 of 5: Make the decision for the hypothesis test.
Reject Null Hypothesis Fail to Reject Null Hypothesis
1.
Ho: μd ≤ 0
Ha: μd > 0
2.
3.
4. Degrees of freedom = n-1 = 10-1 = 9
5. Reject Null Hypothesis
A major oil company has developed a new gasoline additive that is supposed to increase mileage....
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 = 0.01 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 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). 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=0.05 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 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...
Step 1 of 5: State the null and alternative hypotheses for the test. Ho: μd (=,≠,<,>,≤,≥) 0 Ha: μd (=,≠,<,>,≤,≥) 0 Step 2 of 5: Find the value of the standard deviation of the paired differences. Round your answer to two decimal places. Step 3 of 5: Compute the value of the test statistic. Round your answer to three decimal places. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis H0H0. Round the numerical portion of...
Question 14 of 14 Step 3 of A major oil company has developed a new gasoline additive that is supposed to increase mileage. To rest this hypothesis, ten cars are ra that the gasoline additive does significantly increase mileage? Let d - (gas mileage with additive)-(gas mileage without addiove) Use a sgnificance level of a - 0.05 for the test Assume that the gas mileager 01:14:08 both with and without the additive. The results are displayed in the following table,...