Q1) One-Sample t-Test I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that German cars tend to be more fuel efficient than American cars, so I collected MPG data on a random sample of 10 German 4-cylinder sedan models (listed in the table below) to be compared to the American car statistics. I would like to see if there is a significant difference, in either direction, between German sedans and American sedans. The US Environmental Protection Agency reported that the average MPG for American sedans in 2017 is ?? = 30.6. I set the significance level at α = .10 for a two-tailed hypothesis test. Hint: Because we know the population mean for the American cars but not the standard deviation, we cannot conduct a Z test but should perform a one-sample t-test instead. German car model MPG 1 30 2 29 3 29 4 36 5 33 6 32 7 30 8 35 9 35 10 33 Calculate the standard error (standard deviation of the sampling distribution)
Q1) One-Sample t-Test
I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that German cars tend to be more fuel efficient than American cars, so I collected MPG data on a random sample of 10 German 4-cylinder sedan models (listed in the table below) to be compared to the American car statistics. I would like to see if there is a significant difference, in either direction, between German sedans and American sedans. The US Environmental Protection Agency reported that the average MPG for American sedans in 2017 is
??
= 30.6. I set the significance level at α = .10 for a two-tailed hypothesis test.
Hint: Because we know the population mean for the American cars but not the standard deviation, we cannot conduct a Z test but should perform a one-sample t-test instead.
|
German car model |
MPG |
|
1 |
30 |
|
2 |
29 |
|
3 |
29 |
|
4 |
36 |
|
5 |
33 |
|
6 |
32 |
|
7 |
30 |
|
8 |
35 |
|
9 |
35 |
|
10 |
33 |
- Calculate the standard error (standard deviation of the sampling distribution)
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