Shown below are birth weights (in kilograms) of male babies born to mothers taking a special vitamin supplement. Test the claim that this sample comes from a population with a standard deviation equal to 0.470kg, which is the standard deviation for male birth weights in general. At α = 0.05, does the vitamin supplement appear to affect the variation among birth weights? 3.73 4.37 3.73 4.33 3.39 2.47 4.47 3.43 3.68 4.68 3.52 3.02 4.09 4.13 3.22 2.54 (i) State H0 and H1.  (ii) Calculate the test statistics.  (iii) Find the critical value. (iv) Test the claim whether the vitamin supplement appear to affect the variation among birth weights. State your conclusion.

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Shown below are birth weights (in kilograms) of male babies born to mothers taking a special
vitamin supplement. Test the claim that this sample comes from a population with a standard
deviation equal to 0.470kg, which is the standard deviation for male birth weights in general. At
α = 0.05, does the vitamin supplement appear to affect the variation among birth weights?
3.73 4.37 3.73 4.33 3.39 2.47 4.47 3.43
3.68 4.68 3.52 3.02 4.09 4.13 3.22 2.54

(i) State H0 and H1. 
(ii) Calculate the test statistics. 
(iii) Find the critical value.

(iv) Test the claim whether the vitamin supplement appear to affect the variation among birth
weights. State your conclusion. 

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