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A new model compact car is being tested for gasoline consumption. A random sample of 40 such cars were tested at sea level and found to get an average of 36.2 m/g (miles per gallon) with a sample standard deviation of 4.8 m/g. Another random sample of 35 such cars were tested one mile above sea level in Denver, CO., and found to get an average of 31.5 m/g with a sample standard deviation of 5.5 m/g. At the 0.01 level of significance, test the claim that the new model compact cars burn more gas (get less m/g on average) at one mile above sea level. Sample 1: Average gasoline consumption at sea level: 36.2 m/g Sample standard deviation at sea level: 4.8 m/g Sample 2: Average gasoline consumption at one mile above sea level: 31.5 m/g Sample standard deviation at one mile above sea level: 5.5 m/g Claim: 1- H0: The average gasoline consumption of the new model compact cars is the same at sea level and one mile above sea level. H1: The average gasoline consumption of the new model compact cars is lower at one mile above sea level compared to sea level. 2- Test Statistic: To test the claim, we will use the two-sample t-test for independent samples. 3- Critical Region/Critical Value: At the 0.01 level of significance, with a two-tailed test, the critical value is Â±2.617. 4- Decision about H0: If the test statistic falls within the critical region, we reject the null hypothesis. If the test statistic falls outside the critical region, we fail to reject the null hypothesis. Title_with_topic: Testing the Gasoline Consumption of New Model Compact Cars at Different Altitudes

A new model compact car is being tested for gasoline consumption. A random sample of 40 such cars were tested at sea level and found to get an average of 36.2 m/g (miles per gallon) with a sample standard deviation of 4.8 m/g. Another random sample of 35 such cars were tested one mile above sea level in Denver, CO., and found to get an average of 31.5 m/g with a sample standard deviation of 5.5 m/g. At the 0.01 level of significance, test the claim that the new model compact cars burn more gas (get less m/g on average) at one mile above sea level.

Sample 1:
Average gasoline consumption at sea level: 36.2 m/g
Sample standard deviation at sea level: 4.8 m/g

Sample 2:
Average gasoline consumption at one mile above sea level: 31.5 m/g
Sample standard deviation at one mile above sea level: 5.5 m/g

Claim:
1- H0: The average gasoline consumption of the new model compact cars is the same at sea level and one mile above sea level.
H1: The average gasoline consumption of the new model compact cars is lower at one mile above sea level compared to sea level.

2- Test Statistic:
To test the claim, we will use the two-sample t-test for independent samples.

3- Critical Region/Critical Value:
At the 0.01 level of significance, with a two-tailed test, the critical value is Â±2.617.

4- Decision about H0:
If the test statistic falls within the critical region, we reject the null hypothesis. If the test statistic falls outside the critical region, we fail to reject the null hypothesis.

Title_with_topic: Testing the Gasoline Consumption of New Model Compact Cars at Different Altitudes

Added by Ines N.

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