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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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 

30 

29 

29 

36 

33 

32 

30 

35 

35 

10 

33 

  1. Calculate the standard error (standard deviation of the sampling distribution)

 

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