Question: There has been much debate in the field that Mercedes and Toyota cater to different income levels. Mercedes argues that they serve a much wealthier group of people and are therefore much more "up-scale" than Toyota. Mercedes hires an independent marketing firm to carry out a small research project to confirm their hypothesis (i.e., Mercedes has wealthier customers). The marketing firm collected a sample of individuals who purchase one of the two car types, but not both. The data are as follows:

Based on a two-tailed inference test, is Mercedes’ hypothesis correct? That is, does Mercedes serve wealthier customers? Be sure to show ALL work and EXPLAIN your results. What are the null and alternative hypotheses? Please ignore the small sample size and any big ratios of variances across groups.

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