3. Assume that the birth weight in grams of a baby born in the United States is N (3315,5252) for boys and girls combined. Let X equal the weight of a baby girl who is born at home in Ottawa County, and assume that the distribution of X is Nwd). a) Using 11 observations of X , give the test statistic and the critical region for testing HO :yX =3315 against the alternative H1:,uX >3315 (home-born babies are heavier) if a = 0.01 . (2.764) b) Calculate the value of the test statistic and state your conclusion, using the following weights: 3119 2657 3459 3629 3345 3629 3515 3856 3629 3345 3062 (0.699), (do not reject H 0 ) c) What is the approximate pvalue of the test