47. A pharmaceutical house produces a certain drug item whose weight has a standard deviation of .5 milligrams. The company’s research team has proposed a new method of producing the drug. However, this entails some costs and will be adopted only if there is strong evidence that the standard deviation of the weight of the items will drop to below .4 milligrams. If a sample of 10 items is produced and has the following weights, should the new method be adopted?

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5.728 5.731 5.722 5.719 5.727 5.724 5.718 5.726 5.723 5.722