Discuss the following:
Q: The Rutter Nursery Company packages pine bark in 50-pond bags. From a long history, the packaging department reports that the distribution is normal. At the end of each day Jeff Rutter, the production manager, weighs 10 bags. Below are the weights of the 10 bags from today's production.
45.6 47.7 46.3 47.6 46.2
47.4 55.8 49.2 47.5 48.5
Can Mr. Rutter conclude that the mean weight of the bags is less than 50 pounds? Use the .01 level of significance.