A sample of 9 cans of Brand A diet soda gave the mean number of calories of 66.1 per can with a standard deviation of 2.4 calories. Another sample of 16 cans of Brand B diet soda gave the mean number...

Extracted text: A sample of 9 cans of Brand A diet soda gave the mean number of calories of 66.1 per can with a standard deviation of 2.4 calories. Another sample of 16 cans of Brand B diet soda gave the mean number of calories of 68.7 per can with a standard deviation of 4.5 calories. Assume that the calories per can of diet soda are normally distributed for both brands with equal standard deviations. State and test the hypothesis that Brand A has lower mean number of calories per can than Brand B at 5% significance level.