Assume that a simple random sample is selected from a normally distributed population. Use either the P-value method or the traditional method of testing hypotheses.

Vitamin supplement and birth weight

Listed below are birth weights (in kilograms) of male babies born to mothers on a special vitamin supplement. 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?

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