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...

Q1)One-Sample

t-

Test

I am shopping for a new sedan and would like to get one with excellentmiles 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

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 = 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.

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