Listed below are birth weights (in kilograms) of male babies born to mothers on a special vitamin supplement (based on data from the New York State Department of Health). Test the claim that this sample comes from a population with a standard deviation equal to 0.470 kg, which is the standard deviation for male birth weights in general. Use a 0.05 significance level. Does the vitamin supplement appear to affect the variation among birth weights?

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3.73 3.02 4.37 4.09 3.73 2.47 4.33 4.13 3.39 4.47 3.68 3.22 4.68 3.43 3.52 2.54