A local health authority has expressed concern that general…

A local health authority has expressed concern that general health practitioners are prepared to work for the government health service on qualification, but choose private practice once they have gained some professional experience. If this were to be the case then dentists in private practice would on average have longer experience than dentists working for the government health service.  For a town within this health authority, the 9 dentists working for the government health service and 11 dentists in private practice were asked how many years they had been in practice since qualification. None of the dentists carried out both health service and private practice work.     What is the appropriate analysis?

Use the following for the next 3 questions. I drink a lot of…

Use the following for the next 3 questions. I drink a lot of soft drinks so I want to test if soft drinks increase tooth probe depth to dangerous levels. According to the all-knowing ‘Wikipedia’, a tooth probe depth of more than 4mm is considered moderate periodontal disease.  I collect a sample of 49 people who drink a lot of soft drinks, and find them to have an average tooth pocket depth of 4.2mm and a sample standard deviation of 1mm.