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I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that Japanese cars tend
I am shopping for a new sedan and would like to get one with excellent miles per gallon (MPG). I heard that Japanese cars tend to be more fuel efficient than American cars, so I collected MPG data on a random sample of 16 Japanese 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 Japanese sedans and American sedans. The US Environmental Protection Agency reported that the average MPG for American sedans in 2019 is = 30 (comparison population mean). I set the significance level at = .05 for a two-tailed hypothesis test.
Japanese car model | MPG |
1 | 32 |
2 | 30 |
3 | 36 |
4 | 36 |
5 | 35 |
6 | 28 |
7 | 32 |
8 | 28 |
9 | 32 |
10 | 28 |
11 | 32 |
12 | 32 |
13 | 28 |
14 | 30 |
15 | 33 |
16 | 32 |
C. Calculate the sample mean.
D. Estimate the standard deviation of the population (s)
E. Calculate the standard error (standard deviation of the sampling distribution)
F. Calculate the t statistic
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