A simple random sample of birth weights of 30 girls has a standard deviation of 829.5 hg. Use a 0.01 significance level to test the claim that birth weights of girls have the same standard deviation as birth weights of boys, which is 660.2 hg (based on Data Set 4 "Births" in Appendix B).

Test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.

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FACILITY Albany Medical Center Hospital Insurance Company Albany Medical Center Hospital Blue Cross Albany Medical Center HospitalBlue Cross Albany Medical Center Hospital Albany Medical Center HospitalInsurance Company INSURANCE GENDER (1=M) LENGTH OF STAY ADMITTED DISCHARGED SUN SUN THU SAT SUN BIRTH WEIGHT TOTAL CHARGES RH 13330 3633 359091 3900 36 MON 2800 FRI 3700