Assume that the birth weight in grams of a baby born in the united states is $n(3315, 525^2)$ 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 $n(\mu_x, \sigma^2_x)$. using 11 observations of x, test $h_0: \mu_x=3315$ against the alternative hypothesis $h_1: \mu_x > 3315$ (home-born babies are heavier) if $\alpha$= 0.01. (note: keep at least 3 significant digits in your answer.)