Question

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 Without additive With additive

1 21.2 22.5

2 16 19.5

3 23.6 26

4 17.1 18.1

5 27.6 28.6

6 11.1 13.9

7 17.2 19.9

8 10.8 12.2

9 23.8 25.9

10 21.4 21.6

Step 1 of 5: State the null and alternative hypotheses for the test.

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 H0. Round the numerical portion of your answer to three decimal places.

Step 5 of 5: Make the decision for the hypothesis test.

Answer #1

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...

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) d = (gas mileage with
additive) − (gas mileage without additive) . Use a...

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=0.05α=0.05 for the...

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...

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=0.1α=0.1 for the...

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...

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 0.05
for the test....

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=0.05α=0.05 for the...

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=0.01α=0.01 for the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 17 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 19 minutes ago

asked 46 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago