3. (Problem 9-57 in book) An article in Growth: A Journal Devoted to Problems of

Question

3. (Problem 9-57 in book) An article in Growth: A Journal Devoted to Problems of Normal and Abnormal Growth ["Comparison of Measured and Estimated Fat-Free Weight, Fat, Potassium and Nitrogen of Growing Guinea Pigs" (1982, Vol. 46(4), pp. 306-321)] reported the results of a study that measured the body weight (in grams) for guinea pigs at birth. 421.0425.6 456.1 494.6 373.8 110.796.481.7 241.0296.0 317.0 290.9 256.5 447.8687.6 705.7 879.0 88.8 296.0273.0 268.0 227.5 279.3 90.5 102.4 258.5 296.0 Test the hypothesis that mean body weight is 3 10 g. Use = 0.05. What is the smallest level of significance at which you would be willing to reject the null hypothesis? Explain how you could answer the question in part (a) with a two-sided confidence interval on mean body weight. a. b. c.

Explanation / Answer

One-Sample T: C1

Test of = 310 vs 310

Variable   N   Mean StDev SE Mean      95% CI         T      P
C1        26 319.4 200.3     39.3 (238.5, 400.3)      0.24    0.812

b) p-value = 0.812

hence 81.2 %

c) we can find the confidence interval if 310 is in it, we will fail to reject as

CI is (238.5, 400.3)    

since 310 is in it, we will fail to reject .

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