Statistics Solutions

[Solved] Paul and Mendaje work as waitstaff at a local restaurant. While both are good at their jobs, Paul believes that his tips are lower than Mendaje’s

Question: Paul and Mendaje work as waitstaff at a local restaurant. While both are good at their jobs, Paul believes that his tips are lower than Mendaje’s because he is a male (and Mendaje is a female). Mendaje does not believe this to be the case. To settle the disagreement, they take a random sample of tips that they receive one evening, summarized below:

Paul: $4, 6, 10, 7, 5, 11, 8, 15

Mendaje: $6, 9, 12, 13, 15, 6, 11, 20

You can assume that both sets of data come from normal distributions. Construct a 95% confidence interval for the difference in the two means; based on that interval, is there evidence to show that Mendaje makes more (on average) in tips than Paul?

Price: $2.99
Solution: The downloadable solution consists of 2 pages
Deliverable: Word Document


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