A quality characteristic of interest for a tea-bag filling process is the weight of the tea in individual bags. If the bags are underfilled, two problems arise. First, customers may not be able to brew tea to be as strong as they wish. Second, the company may be in violation of the truth-in-labeling laws. For this scenario, the label weight on the package indicates that, on average, there are 5.5 grams of tea in a bag. If the average amount of tea in a bag exceeds the label weight, the company is giving away the product. Getting the exact amount of tea in a bag is problematic because of variation in the temperature and humidity inside the factory, differences in the density of tea, and the extremely fast filling operation of the machine (approximately 170 bags a minute). The weights in grams of a sample of 50 bags produced during an eight-hour shift by a single machine are provided in the worksheet named Tea-bags. Is there evidence that the mean amount of tea per bag is different from 5.5 grams? Use a 0.01 level of significance.

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