A simple random sample of 16 different cereals is obtained, and the sugar content (in grams of sugar per gram of cereal) is measured for each cereal selected. Those amounts have a mean of 0.295 gram and a standard deviation of 0.168 gram. The amount of sugar in all cereals is assumed to be normally distributed. Use a 0.05 significance level to test the claim of a cereal lobbyist that the mean for all cereals is less than 0.3 gram.