Question: A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. The weights (in ounces) of the cereal in a random sample of 8 of its cereal packets are listed below.
14.6 13.8 14.1 13.7 14.0 14.4 13.6 14.2

At the 0.01 significance level, does the sample support the company’s claim that the mean weight is at least 14 ounces? You may assume the weight of cereal packets is normally distributed.