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5 Step Hypothesis Test

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.

Listed below are birth weights (in kilometers) 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?

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

Solution Summary

The solution provides step-by-step method of performing a chi Square hypothesis test for standard Deviation. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained and the statistical analysis has been shown in details.