It is said that a solvent known as benzene is found in cigarettes and cigars. A random sample of 50 cigars were found to have benzene concentration of 150μg/g with a standard deviation of 10μg/g while a random sample of 40 cigarettes were found to have a benzene concentration of 147μg/g with a standard deviation of 8μg/g. Is it statistically correct to conclude that cigars have higher benzene concentration than cigarettes at 5% level of significance? What conclusion can be drawn from the given data?
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