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.)

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24