An Article in Growth: A Journal Devoted to Problems of Normal andAbnormal Growth

Question

An Article in Growth: A Journal Devoted to Problems of Normal andAbnormal Growth, "Comparison of measured and Estimated Fat FreeWeight, Fat, Potassium and Nitrogen for growing Guinea pigs"Measured body weight (grams) for guinea pigs at their birth.

Data Given:
421.0, 452.6, 456.1, 494.6, 373.8, 90.5, 110.7, 96.4, 81.7, 102.4,241.0, 296.0, 317.0, 290.9, 256.5, 447.8, 687.6, 705.7, 879.0,88.8, 296.0, 273.0, 268.0, 227.5, 279.3, 258.5, 296.0

A.) Test the Hypothesis that mean body weight is 300 grams. Use=0.05
B.)What is the smallest level of significance at which you would bewilling to reject the null hypothesis?
C.) Explain how you could answer the question in part (a) with atwo sided confidence interval on mean body weight.

Explanation / Answer

xbar=325.5 s=198.8 n=27 (a) The test hypothesis is Ho: =300 Ha: not equal 300 =0.05, Z(0.025)=1.96 (check normal table) The test statistic is Z=(xbar - ) /(s/n) =(325.5 - 300) /(198.8 / sqrt(27)) =0.67 Since Z=0.67325.5 ±1.96*198.8 /sqrt(27) --> ( 250.5122, 400.4878)

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