A dietician wondered if being on a diet was related to water intake. she knew that the mean daily water intake in the united states was 3 liters per day with a standard deviation of 0.25. she found the mean daily water intake of 172 randomly selected dieting americans was m = 3.5 liters per day. do a hypothesis test at a 0.05 significance level to determine if the population of people on a diet have a different water intake than the average american.